Expand this Topic clickable element to expand a topic
Skip to content
Optica Publishing Group

Phonon polaritons in cylindrically curved h-BN

Open Access Open Access

Abstract

Hexagonal boron nitride supports phonon polaritons in its two Reststrahlen bands. In this paper, we investigate phonon polaritons in cylindrically curved hexagonal boron nitride thin films. The phonon polariton modes in such structure carry orbital angular momentums depending on its azimuthal index. For extremely small-size structures, high order polariton modes show cutoff behaviors; while, for large-size ones, modes with low azimuthal indexes are nearly degenerate, showing similar mode effective indexes. In dimer structures, phonon polariton modes in the neighboring structures are coupled, creating hybrid modes; gap phonon polaritons arise due to such coupling. For large-size dimers, multiple gap phonon polariton modes have been found. Then, cylindrically curved hexagonal boron nitride thin film is placed on a substrate, which also leads to the emergence of multiple gap phonon polariton modes near the touching point. In the end, we vary the geometric parameters of the structures and give some discussions about the phonon polariton modes. Based on these investigations, we may say that the curvature can strongly affect the phonon polariton modes in h-BN thin films.

© 2017 Optical Society of America

1. Introduction

Phonon polaritons are coupled states of lattice vibrations and electromagnetic waves [1–3]. These modes usually exist near the optic phonon mode of polar materials [2,3]. Due to the resonances, the permittivities of the materials may become negative, showing high reflections in specific frequency ranges. These phonon polaritons have the ability to confine the electromagnetic energy in deep-subwavelength volumes. Compared with surface plasmons in metal, phonon polaritons do not involve free charge oscillations, which may avoid ohmic losses and be used to build nanophotonic devices with enhanced functionalities [2,3].

In the frequency range of phonon polaritons, the permittivity of the material may become negative. According their electromagnetic responses, there are mainly two kinds: one is that the optic phonon modes lead to an isotropic negative permittivity, typical example is silicon carbide (SiC), which has a negative isotropic permittivity near 920cm−1 [4]; the other is that the optic phonon modes lead to an anisotropic permittivity tensor, each component of the permittivity tensor exhibits negative values in different ranges of frequencies, typical example is hexagonal boron nitride (h-BN) [5]. The second kind is often regarded as hyperbolic materials, of which the iso-frequency surfaces of the electromagnetic modes are hyperboloids. H-BN is a nature hyperbolic material. It has two phonon modes in the infrared that are related to hyperbolicity: out-of-plane A2u phonon mode, enabling type I hyperbolic response; in-plane E1u phonon mode, enabling type II hyperbolic response [6,7]. The phonon polariton modes in h-BN are propagative inside the bulk material. Using scattering-type near field microscopes, phonon polaritons in h-BN nanowires and thin films have been discovered; exotic optical phenomena have been revealed, such as subwavelength wave guiding and focusing [6–19], tunable plasmon-phonon interaction [20–27], super-resolution imaging [28], negative refraction [29], enhanced thermal radiation as well as absorption [30–36], and slow-light effect [37]. Thin h-BN films support multiple phonon polariton modes denoted by an index (denoted as n) indicating the number of nodes of the tangential electric field across the slab: the fundamental mode has no node inside the material (n = 0), while high-order modes possess several nodes (n > 0) [22]. Due to its hyperbolicity, phonon polaritons in h-BN thin films always exist, even in the monolayer; as the film becomes thinner, the fundamental mode becomes more separated from high-order ones in the spectra. These phonon polariton modes have no cutoff frequencies which should normally occur in small dielectric waveguides.

However, we have found that the phonon polaritons in cylindrically curved h-BN thin films show quite different phenomena: they possess an extra index, azimuthal index, denoted as m which does not exist in planar structures; high-order modes show cutoff frequencies, below which the modes stop propagating; compared with h-BN nanowires, the length in the lateral dimension (thickness) is small, which causes the mode with n = 0 well separated from the ones with n > 0, independent from the azimuthal index m. In this paper, we investigate such cylindrically curved h-BN thin films; only the modes with n = 0 are concerned. The phonon polariton modes possess an azimuthal index m; high-order ones with m > 0 may have cutoff frequencies in the upper Reststrahlen band depending on their sizes. In dimer structures, gap phonon polaritons as well as other special modes occur due to the coupling between the neighboring structures; for large dimers, multiple gap phonon polariton modes appear in-between. Then, the coupling between the cylindrically curved h-BN thin film with a substrate is considered. In the end, we vary the geometric parameters of the structures and give some insightful discussions about the phonon polariton modes. Our investigations show that the curvature can indeed strongly affect the phonon polariton modes in h-BN thin films

2. Phonon polaritons in cylindrically curved h-BN

Thin h-BN film is treated as a curved anisotropic material. Without loss of generality, we focus on the case where the thickness of h-BN is 10 nm. Such thickness makes sure that the bulk parameters of h-BN still hold and the optical response, i.e., the hyperbolicity, remains unchanged compared with bulk h-BN. The core is assumed to be silicon, which is a lossless dielectric in the frequency range considered in this paper. The permittivity of the dielectric core merely shifts the dispersion relations, or equivalently the mode effective indexes, of the phonon polariton modes; the main conclusions in this paper still hold if the core is changed to other materials. In the framework of electrodynamics, the phonon polariton modes in such structure can be found by using the waveguide theory.

Figure 1(a) is the schematic of such structure, where the h-BN thin film is curved into a cylinder with a dielectric core. Cylindrical coordinates are used, and the z-axis is along the axial direction. Given its molecular structure, the c-axis originally perpendicular to the boron nitride plane in planar h-BN thin films is now pointing in the radial direction. Thus, in the cylindrical coordinate system, the permittivity in the radial direction is ε// (the permittivity parallel to the c-axis), i.e., εr = ε//; while the permittivities in the azimuthal and axial directions are ε(the permittivity perpendicular to the c-axis), i.e., εθ = εz = ε, as shown in Fig. 1(b). Due to the anisotropy of h-BN, a transformation of the permittivity tensor is required before the calculation, which maps the diagonal permittivity tensor in the cylindrical coordinate system into the one in the Cartesian coordinate system. In calculations, thin h-BN films are treated as anisotropic materials with bulk permittivities [12,22]:

εi=εi,+εi,(ωLO,i)2(ωTO,i)2(ωTO,i)2ω2iΓiω
where i = ⊥,//, ε∞,⊥ = 4.87 cm−1, εTO,⊥ = 1370 cm−1, εLO,⊥ = 1610 cm−1, ε∞,// = 2.95 cm−1, εTO,// = 780 cm−1, εLO,// = 830 cm−1, Γ = 5 cm−1, and Γ// = 4 cm−1. The permittivities ε// and ε are plotted in Fig. 1(c); the lower and upper Reststrahlen bands are indicated by the shaded areas. Due to the fact that the permittivities along the radial and azimuthal directions are different, field componentsEz and Hz are coupled through complicated differential equations; common waveguide theory can no long handle such problem. Thus, we used a commercial software package (COMSOL) based on finite element method for the calculation of the phonon polariton modes.

 figure: Fig. 1

Fig. 1 (a) Schematic of the cylindrically curved h-BN thin film, where the c-axis originally perpendicular to the boron nitride plane in planar h-BN thin films is now in the radial direction. A dielectric core has been incorporated. (b) Model for the cylindrically curved h-BN thin films. For h-BN layer, the permittivities in the axial and azimuthal directions are ε, while the permittivity in the radial direction is ε//. (c) The permittivities ε// and ε of h-BN near the Reststrahlen bands. Only the real parts are plotted.

Download Full Size | PPT Slide | PDF

In the upper Reststrahlen band, h-BN possesses negative in-plane permittivities, which makes thin h-BN layers similar to metallic films. This leads to the fact that the phonon polariton modes in cylindrically curved thin h-BN films only exist in the upper Reststrahlen band. In calculations, we have actually searched for the modes in both the lower and upper Reststrahlen bands, and confirmed such judgement. Planar h-BN films support multiple propagative phonon polariton modes due to its hyperbolicity; however, in cylindrically curved thin h-BN films, the phonon polariton modes would possess an azimuthal index denoting the periodicity in the azimuthal direction, which is missing in the planar structures. This index indicates the orbital angular momentum carried by the electromagnetic waves. As one would see, it also causes the cutoff of the m > 0 modes.

We have calculated the phonon polariton modes in a small-size structure with a core of 40 nm in diameter covered with 10 nm-thick h-BN; the results are shown in Figs. 2(a) and 2(b). Only the first three modes have been plotted, indicated by their azimuthal indexes m = 0, m = 1 and m = 2; the corresponding normalized electric field intensities are shown as (i), (ii) and (iii) in Fig. 2(a), respectively. The m = 0 mode has a constant field intensity profile around the structure, while the m = 1 and m = 2 modes respectively have dipole- and quadrupole- like field profiles, which are common in circular waveguide structures. As one can see, the electric fields in all cases are confined near the h-BN layer with peak intensities at the material surface, indicating the fact that these are indeed phonon polariton modes. The real parts of the effective indexes neff,r as well as the ratios neff,r/neff,i of the above modes are shown in Fig. 2(b). neff,r/neff,i, or equivalently Re[q]/Im[q], is a quantity describing how long measured by the phonon polariton wavelength the mode can propagate [12]. With the chosen parameters, the m = 0 phonon polariton mode has a dispersion relation across the entire upper Reststrahlen band; however, the m = 1 and m = 2 modes stop propagation near 1400 cm−1 and 1450 cm−1, respectively. Since the loss of the material is relatively low in this frequency range, such stops can only be caused by the dispersion, i.e., cutoff behaviour of the modes. Cutoff frequencies of the phonon polariton modes in h-BN have not been reported by other researches yet. The ratios neff,r/neff,i can reach over 20 for the m = 2 mode and can become much larger for the m = 0 and m = 1 modes, which are enough for many applications. Near the cutoff frequency, the ratio neff,r/neff,i drops rapidly, corresponding to the stop of the propagation of the phonon polaritons.

 figure: Fig. 2

Fig. 2 (a) The normalized |E| of the phonon polariton modes with m = 0, m = 1 and m = 2 at 1500 cm−1. The dielectric core has a diameter of 40 nm, and the thickness of h-BN is 10 nm. (b) The effective indexes neff,r and the ratios neff,r/neff,i of the modes in (a). (c) The normalized |E| of the phonon polariton modes with m = 0, m = 1 and m = 2 at 1500 cm−1. The dielectric core has a diameter of 200 nm, and the thickness of h-BN is still 10 nm. (d) The effective indexes neff,r and the ratios neff,r/neff,i of the modes in (c).

Download Full Size | PPT Slide | PDF

As for large-size structures, the modes possess similar electric field intensity distributions with the small-size ones. We have calculated the phonon polariton modes in a structure with a core of 200 nm in diameter covered with 10 nm-thick h-BN. Again, only the first three modes have been plotted, as shown in Fig. 2(c). The corresponding neff,r and neff,r/neff,i are plotted in Fig. 2(d). For such large-size structure, the modes with different azimuthal indexes are nearly degenerate, having quite similar neff,r across the upper Reststrahlen band. Only small deviations exist for the m = 2 mode at the low-frequency end, see the solid blue curve in Fig. 2(d). The ratios neff,r/neff,i for the m = 0 and m = 1 modes are also quite similar; while, for the m = 2 mode, the curve is a little lower. Highly degenerate phonon polariton modes are expected if the size of the cylindrically curved h-BN thin film becomes even larger.

The cutoff behaviour of high-order modes can be understood as follows. For planar h-BN films on substrate, the complex wavevector q+ikof the phonon polariton modes can be derived in the quasi-static limit [5]: q+ik=ψ[arctan(εa/εψ)+arctan(εs/εψ)+nπ]/d, where ψ=ε/iε , εa and εs are respectively the permittivities of the environment (air) and the substrate. d is the thickness of the h-BN film, and n is an integer (n = 0,1,2...). For cylindrically curved h-BN, the wavevector has two components: kz and kθ, where kθ = m/R. m is the azimuthal index, and R is the effective radius of the structure. Assuming that the total wavevectors of the planar and the cylindrically curved h-BN films are the same, i.e., the curvature does not change the wavevector, one has kz2+kθ2=kz2+(m/R)2=(q+ik)2. As the frequency decreases, (q+ik)2 approaches zero (kz2+(m/R)2=(q+ik)20, as shown in Ref [5].). Thus, for m = 0, kz can always be real; however, for m > 0, kz must become imaginary at some frequency since(m/R)2 is a positive constant, which results in the cutoff behaviour of the high-order modes.

In the upper Reststrahlen band, h-BN thin film possesses negative in-plane permittivity, which makes the structure in Fig. 1(a) similar to graphene-wrapped dielectric nanowires, but only in the metallic regime. The imaginary part of graphene conductivity can be positive or negative depending on its parameters [38–40]. In the metallic regime, graphene’s positive conductivity may also lead to negative in-plane effective permittivity, resulting in the plasmonic modes in graphene-wrapped nanowires [38,40], similar to the phonon polariton modes in this paper. However, different from graphene, h-BN is a hyperbolic material which supports phonon polariton modes with extremely short wavelengths. As one would see in the following sections, multiple gap phonon polariton modes exit in dimers, which is not common in plasmonic structures. Also, as the thickness of h-BN increases, the high-order modes are no longer propagative, showing cutoff frequencies; this is interesting because usually the increasement of the size does not lead to the cutoff of the high-order modes.

3. Phonon polaritons in dimers

Dimers are formed by closing two structures together, leaving a gap in-between. In this section, we investigate the phonon polaritons in dimer structures, where the gap is only 5 nm.

For small dimers, we used two structures as shown in Fig. 2(a) and put them close to each other forming a 5 nm gap. The thickness of h-BN is 10 nm, and the diameter of the core is 40 nm. Three representative modes are plotted in Fig. 3(a) which shows their corresponding Ez (left column) and |E| distributions (right column): the gap phonon polariton mode denoted as “1st mode”, the anti-symmetric mode denoted as “2nd mode”, and the symmetric mode denoted as “3rd mode”. The gap phonon polariton mode is confined within an ultra-small volume with high electric field intensities in the gap (see the color bar of the |E| distributions of 1st mode in Fig. 3(a)). The corresponding effective indexes neff,r as well as the ratios neff,r/neff,i of the modes in Fig. 3(a) are shown in Fig. 3(b). The anti-symmetric and symmetric modes are nearly degenerate, i.e., both neff,r and neff,r/neff,i are quite similar, except for those near 1400 cm−1. The gap phonon polariton mode has the largest index neff,r (solid black curve), and also the largest ratio neff,r/neff,i (dashed black curve). According to the |E| distributions, the gap mode has most of the fields outside the lossy material; thus, ultra-strong field confinement and low propagation loss can be simultaneously achieved.

 figure: Fig. 3

Fig. 3 (a) Ez and |E| of the three representative modes in the small dimer structure, where the diameter of the core is 40 nm and the thickness of h-BN is 10 nm. (b) The effective indexes neff,r and the ratios neff,r/neff,i of the modes in (a). (c) Ez and |E| of the four representative modes in the large dimer structure, where the diameter of the core is 200 nm and the thickness of h-BN is still 10 nm. (d) The effective indexes neff,r and the ratios neff,r/neff,i of the modes in (c).

Download Full Size | PPT Slide | PDF

For large dimers, we placed two structures as shown in Fig. 2(c) close to each other forming a 5 nm gap. The thickness of h-BN is 10 nm, and the diameter of the core is 200 nm. Four representative modes are plotted. Figure 3(c) shows their Ez (left column) and |E| distributions (right column): the first gap phonon polariton mode denoted as “1st mode”, the anti-symmetric mode denoted as “2nd mode”, the symmetric mode denoted as “3rd mode”, and the second gap phonon polariton mode denoted as “4th mode”. For such large structure, multiple gap phonon polariton modes can exist. This may be caused by the fact that the coupling area becomes larger as the diameter of the core increases, which leads to several gap phonon polariton modes. The first gap mode has anti-symmetric Ez profile along the dimer; the second gap mode has anti-symmetric Ez profiles both in the directions along and vertical to the dimer. From their |E| distributions, one can see that the gap phonon polaritons may lead to large field enhancements. For example, it can reach over 70 for the first gap mode and over 30 for the second gap mode. The corresponding effective indexes neff,r as well as the ratios neff,r/neff,i of the modes in Fig. 3(c) are shown in Fig. 3(d). As one can see, the 2nd, 3rd, and 4th modes have quite similar indexes neff,r as well as ratios neff,r/neff,i. However, the 1st mode, the first gap phonon polariton mode, possesses the largest index neff,r, and also the largest ratio neff,r/neff,i in the whole spectrum, which means that the electric fields are tightly confined in the gap with relatively low propagation loss.

4. Phonon polaritons coupled with substrate

On substrate, the phonon polariton modes can be strongly modified. In this section, a silicon substrate has been used. The cylindrically curved h-BN is 10 nm-thick with a dielectric core of 200 nm in diameter. The h-BN layer touches the substrate, i.e., the gap between the cylindrically curved h-BN and the substrate is zero.

Three representative phonon polariton modes are shown in Fig. 4(a), respectively denoted as 1st, 2nd and 3rd modes, which can be distinguished from their Ez (left column) and |E| distributions (right column): the 1st mode is the first gap phonon polariton mode; the 2nd mode possesses electric fields mostly on the upper region of the structure; the 3rd mode is the second gap phonon polariton mode. The corresponding indexes neff,r and ratios neff,r/neff,i are plotted in Fig. 4(b). When coupled with the substrate, the first gap phonon polariton mode no longer has anti-symmetric Ez distributions, which is different compared with the first gap modes in dimers (compare the Ez distribution of the 1st mode in Fig. 4(a) with those of the 1st modes in Figs. 3(a) and 3(c)); the second gap phonon polariton mode has anti-symmetric Ez distribution (see the Ez distribution of 3rd mode in Fig. 4(a)). The electric fields are highly enhanced near the touching point. The existence of the substrate can strongly affect the mode profiles as well as the effective indexes; again, multiple gap phonon polariton modes can be observed due to the strong coupling between the cylindrically curved h-BN thin film and the substrate.

 figure: Fig. 4

Fig. 4 (a) Ez and |E| distributions of the three representative modes, where the whole structure is placed on Si substrate. (b) The effective indexes neff,r and the ratios neff,r/neff,i of the modes in (a). The diameter of the dielectric core is 200 nm; the thickness of the h-BN is 10 nm.

Download Full Size | PPT Slide | PDF

5. The effects of geometric parameters

In this section, we investigate the effects of geometric parameters on the phonon polariton modes. The wavenumber is fixed at 1500 cm−1.

For isolated structures (see Fig. 2), we firstly increase the core radius from 20 nm to 100 nm while keeping the h-BN thickness at 10 nm. As shown in Fig. 5(a), both neff,r and neff,r/neff,i of the m = 0, m = 1 and m = 2 modes become larger; such phenomenon is similar to graphene-wrapped nanowires [38–40]. Then, we increase the thickness of the h-BN while keeping the core radius fixed at 20 nm. As shown in Fig. 5(b), the effective indexes neff,r of all modes decrease. The ratios neff,r/neff,i for the m = 1 and m = 2 modes drop rapidly, indicating the cutoff of these two modes; but, for the m = 0 mode, this ratio remains large. These phenomena can be understood as follows: when the thickness of the h-BN layer increases, the wavevector q+ik decreases according to the fact that such wavevector is proportional to the inverse of the h-BN thickness [5]; for modes with m > 0, kz may no longer be real and become imaginary, leading to the cutoff of the high-order modes.

 figure: Fig. 5

Fig. 5 (a) neff,r and neff,r/neff,i of the m = 0, m = 1, and m = 2 modes as functions of the core radius, while the thickness of the h-BN layer is 10 nm. (b) neff,r and neff,r/neff,i of the m = 0, m = 1, and m = 2 modes as functions of the h-BN thickness, while the radius of the core is fixed at 20 nm. (c) neff,r and neff,r/neff,i of the 1st, 2nd, 3rd and 4th modes as functions of the dimer gap. (d) neff,r and neff,r/neff,i of the 1st, 2nd and 3rd modes as functions of the gap with the substrate. All the data in this figure are plotted at 1500 cm−1.

Download Full Size | PPT Slide | PDF

For dimer structures, we change the gap from 0 nm to 10 nm, as shown in Fig. 5(c). The core radius is 100 nm and the thickness of h-BN is 10 nm. Only the gap modes are strongly affected, which is normal since their electric fields are mostly confined within the gap. The 2nd and 3rd modes have field distributions at the two edges of the dimer; thus, changing the gap would not modify their effective indexes. As one can see from Fig. 5(c), the slops of all curves become small if the gap is larger than 10 nm, which means that the coupling between the neighboring structures is weak at such distance. Strong couplings of phonon polariton modes only exist within a range of a few nanometers. For the structure on the silicon substrate, we vary the gap from 0 nm to 8 nm. As shown in Fig. 5(d), the indexes neff,r of the gap modes decrease rapidly as the gap becomes larger. Again, only the gap phonon polariton modes are strongly modified; the 2nd mode which has most of its fields confined in the upper region of the structure is not affected. Strong coupling of the gap modes with substrates can only happen within a range of a few nanometers.

6. Conclusion

Hexagonal boron nitride supports phonon polariton modes which may be largely affected after being cylindrically curved. Another index, the azimuthal index m, arises which describes the periodicity in the azimuthal direction. High-order modes with m > 0 may have cutoff frequencies depending on the size of the structure. In dimers, gap phonon polaritons may occur; for large-size dimers, multiple gap phonon polariton modes can exist. After putting such cylindrical h-BN on a substrate, multiple gap phonon polariton modes may also appear. By varying the geometric parameters, it is proved that strong couplings can happen only if two structures are extremely close to each other, for example, separated with a gap of a few nanometers. Our investigations may open the way to search for new phonon polariton modes in h-BN thin films with complex structures.

Funding

This work was supported by the Zhejiang Provincial Natural Science Foundation (Grant No. LQ17A040003) and the National Natural Science Foundation of China (Grant No. 11647117).

Acknowledgments

We appreciate Dong-Xiang Qi and Yue-Ke Wang at Jiangnan University for their helps during the calculation.

References and links

1. D. N. Basov, M. M. Fogler, and F. J. García de Abajo, “Polaritons in van der Waals materials,” Science 354(6309), 6309 (2016). [CrossRef]   [PubMed]  

2. J. D. Caldwell, I. Vurgaftman, J. G. Tischler, O. J. Glembocki, J. C. Owrutsky, and T. L. Reinecke, “Atomic-scale photonic hybrids for mid-infrared and terahertz nanophotonics,” Nat. Nanotechnol. 11(1), 9–15 (2016). [CrossRef]   [PubMed]  

3. T. Low, A. Chaves, J. D. Caldwell, A. Kumar, N. X. Fang, P. Avouris, T. F. Heinz, F. Guinea, L. Martin-Moreno, and F. Koppens, “Polaritons in layered two-dimensional materials,” Nat. Mater. 16(2), 182–194 (2017). [CrossRef]   [PubMed]  

4. R. Hillenbrand, T. Taubner, and F. Keilmann, “Phonon-enhanced light matter interaction at the nanometre scale,” Nature 418(6894), 159–162 (2002). [CrossRef]   [PubMed]  

5. S. Dai, Z. Fei, Q. Ma, A. S. Rodin, M. Wagner, A. S. McLeod, M. K. Liu, W. Gannett, W. Regan, K. Watanabe, T. Taniguchi, M. Thiemens, G. Dominguez, A. H. C. Neto, A. Zettl, F. Keilmann, P. Jarillo-Herrero, M. M. Fogler, and D. N. Basov, “Tunable phonon polaritons in atomically thin van der waals crystals of boron nitride,” Science 343(6175), 1125–1129 (2014). [CrossRef]   [PubMed]  

6. X. G. Xu, B. G. Ghamsari, J. H. Jiang, L. Gilburd, G. O. Andreev, C. Zhi, Y. Bando, D. Golberg, P. Berini, and G. C. Walker, “One-dimensional surface phonon polaritons in boron nitride nanotubes,” Nat. Commun. 5, 4782 (2014). [CrossRef]   [PubMed]  

7. J. D. Caldwell, A. V. Kretinin, Y. Chen, V. Giannini, M. M. Fogler, Y. Francescato, C. T. Ellis, J. G. Tischler, C. R. Woods, A. J. Giles, M. Hong, K. Watanabe, T. Taniguchi, S. A. Maier, and K. S. Novoselov, “Sub-diffractional volume-confined polaritons in the natural hyperbolic material hexagonal boron nitride,” Nat. Commun. 5, 5221 (2014). [CrossRef]   [PubMed]  

8. S. Dai, Q. Ma, T. Andersen, A. S. Mcleod, Z. Fei, M. K. Liu, M. Wagner, K. Watanabe, T. Taniguchi, M. Thiemens, F. Keilmann, P. Jarillo-Herrero, M. M. Fogler, and D. N. Basov, “Subdiffractional focusing and guiding of polaritonic rays in a natural hyperbolic material,” Nat. Commun. 6, 6963 (2015). [CrossRef]   [PubMed]  

9. A. Tomadin, A. Principi, J. C. W. Song, L. S. Levitov, and M. Polini, “Accessing phonon polaritons in hyperbolic crystals by angle-resolved photoemission spectroscopy,” Phys. Rev. Lett. 115(8), 087401 (2015). [CrossRef]   [PubMed]  

10. Z. Shi, H. A. Bechtel, S. Berweger, Y. Sun, B. Zeng, C. Jin, H. Chang, M. C. Martin, M. B. Raschke, and F. Wang, “Amplitude- and phase-resolved nanospectral imaging of phonon polaritons in hexagonal boron nitride,” ACS Photonics 2(7), 790–796 (2015). [CrossRef]  

11. L. Wang and X. G. Xu, “Scattering-type scanning near-field optical microscopy with reconstruction of vertical interaction,” Nat. Commun. 6, 8973 (2015). [CrossRef]   [PubMed]  

12. Z. W. Zhao, H. W. Wu, and Y. Zhou, “Surface-confined edge phonon polaritons in hexagonal boron nitride thin films and nanoribbons,” Opt. Express 24(20), 22930–22942 (2016). [CrossRef]   [PubMed]  

13. B. Zhu, G. Ren, Y. Gao, H. Li, B. Wu, and S. Jian, “Strong light confinement and gradient force in a hexagonal boron nitride slot waveguide,” Opt. Lett. 41(21), 4991–4994 (2016). [CrossRef]   [PubMed]  

14. B. Zhu, G. Ren, B. Wu, Y. Gao, H. Li, and S. Jian, “Nanofocusing of hybrid plasmons-phonons-polaritons in a graphene-hexagonal boron nitride heterostructure,” Opt. Lett. 41(19), 4578–4581 (2016). [CrossRef]   [PubMed]  

15. Y. Xu, N. Premkumar, Y. Yang, and B. A. Lail, “Hybrid surface phononic waveguide using hyperbolic boron nitride,” Opt. Express 24(15), 17183–17192 (2016). [CrossRef]   [PubMed]  

16. A. Y. Nikitin, E. Yoxall, M. Schnell, S. Vélez, I. Dolado, P. Alonso-Gonzalez, F. Casanova, L. E. Hueso, and R. Hillenbrand, “Nanofocusing of hyperbolic phonon polaritons in a tapered boron nitride slab,” ACS Photonics 3(6), 924–929 (2016). [CrossRef]  

17. P. Li, I. Dolado, F. J. Alfaro-Mozaz, A. Y. Nikitin, F. Casanova, L. E. Hueso, S. Vélez, and R. Hillenbrand, “Optical nanoimaging of hyperbolic surface polaritons at the edges of van der Waals materials,” Nano Lett. 17(1), 228–235 (2017). [CrossRef]   [PubMed]  

18. H. Hajian, A. Ghobadi, S. A. Dereshgi, B. Butun, and E. Ozbay, “Hybrid plasmon-phonon polariton bands in graphene-hexagonal boron nitride metamaterials,” J. Opt. Soc. Am. B 34(7), D29–D35 (2017). [CrossRef]  

19. L. Gilburd, K. S. Kim, K. Ho, D. Trajanoski, A. Maiti, D. Halverson, S. de Beer, and G. C. Walker, “Hexagonal boron nitride self-launches hyperbolic phonon polaritons,” J. Phys. Chem. Lett. 8(10), 2158–2162 (2017). [CrossRef]   [PubMed]  

20. V. W. Brar, M. S. Jang, M. Sherrott, S. Kim, J. J. Lopez, L. B. Kim, M. Choi, and H. Atwater, “Hybrid surface-phonon-plasmon polariton modes in graphene/monolayer h-BN heterostructures,” Nano Lett. 14(7), 3876–3880 (2014). [CrossRef]   [PubMed]  

21. X. G. Xu, J. H. Jiang, L. Gilburd, R. G. Rensing, K. S. Burch, C. Zhi, Y. Bando, D. Golberg, and G. C. Walker, “Mid-infrared polaritonic coupling between boron nitride nanotubes and graphene,” ACS Nano 8(11), 11305–11312 (2014). [CrossRef]   [PubMed]  

22. A. Kumar, T. Low, K. H. Fung, P. Avouris, and N. X. Fang, “Tunable light-matter interaction and the role of hyperbolicity in graphene-hBN system,” Nano Lett. 15(5), 3172–3180 (2015). [CrossRef]   [PubMed]  

23. S. Dai, Q. Ma, M. K. Liu, T. Andersen, Z. Fei, M. D. Goldflam, M. Wagner, K. Watanabe, T. Taniguchi, M. Thiemens, F. Keilmann, G. C. A. M. Janssen, S.-E. Zhu, P. Jarillo-Herrero, M. M. Fogler, and D. N. Basov, “Graphene on hexagonal boron nitride as a tunable hyperbolic metamaterial,” Nat. Nanotechnol. 10(8), 682–686 (2015). [CrossRef]   [PubMed]  

24. A. Woessner, M. B. Lundeberg, Y. Gao, A. Principi, P. Alonso-González, M. Carrega, K. Watanabe, T. Taniguchi, G. Vignale, M. Polini, J. Hone, R. Hillenbrand, and F. H. L. Koppens, “Highly confined low-loss plasmons in graphene-boron nitride heterostructures,” Nat. Mater. 14(4), 421–425 (2015). [CrossRef]   [PubMed]  

25. Y. Jia, H. Zhao, Q. Guo, X. Wang, H. Wang, and F. Xia, “Tunable plasmon-phonon polaritons in layered graphene–hexagonal boron nitride heterostructures,” ACS Photonics 2(7), 907–912 (2015). [CrossRef]  

26. L. Gilburd, X. G. Xu, Y. Bando, D. Golberg, and G. C. Walker, “Near-field infrared pump-probe imaging of surface phonon coupling in boron nitride nanotubes,” J. Phys. Chem. Lett. 7(2), 289–294 (2016). [CrossRef]   [PubMed]  

27. Y. Wu, L. Jiang, H. Xu, X. Dai, Y. Xiang, and D. Fan, “Hybrid nonlinear surface-phonon-plasmon-polaritons at the interface of nolinear medium and graphene-covered hexagonal boron nitride crystal,” Opt. Express 24(3), 2109–2124 (2016). [CrossRef]   [PubMed]  

28. P. Li, M. Lewin, A. V. Kretinin, J. D. Caldwell, K. S. Novoselov, T. Taniguchi, K. Watanabe, F. Gaussmann, and T. Taubner, “Hyperbolic phonon-polaritons in boron nitride for near-field optical imaging and focusing,” Nat. Commun. 6, 7507 (2015). [CrossRef]   [PubMed]  

29. A. A. Sayem, M. M. Rahman, M. R. C. Mahdy, I. Jahangir, and M. S. Rahman, “Negative refraction with superior transmission in graphene-hexagonal boron nitride (hBN) multilayer hyper crystal,” Sci. Rep. 6(1), 25442 (2016). [CrossRef]   [PubMed]  

30. D. G. Baranov, J. H. Edgar, T. Hoffman, N. Bassim, and J. D. Caldwell, “Perfect interferenceless absorption at infrared frequencies by a van der Waals crystal,” Phys. Rev. B 92(20), 201405 (2015). [CrossRef]  

31. J. Wu, H. Wang, L. Jiang, J. Guo, X. Dai, Y. Xiang, and S. Wen, “Critical coupling using the hexagonal boron nitride crystals in the mid-infrared range,” J. Appl. Phys. 119(20), 203107 (2016). [CrossRef]  

32. Y. C. Chang, A. V. Kildishev, E. E. Narimanov, and T. B. Norris, “Metasurface perfect absorber based on guided resonance of a photonic hypercrystal,” Phys. Rev. B 94(15), 155430 (2016). [CrossRef]  

33. J. Wu, L. Jiang, J. Guo, X. Dai, Y. Xiang, and S. Wen, “Turnable perfect absorption at infrared frequencies by a graphene-hBN hyper crystal,” Opt. Express 24(15), 17103–17114 (2016). [CrossRef]   [PubMed]  

34. B. Zhao and Z. M. Zhang, “Perfect mid-infrared absorption by hybrid phonon-plasmon polaritons in hBN/metal-grating anisotropic structures,” Int. J. Heat Mass Tran. 106, 1025–1034 (2017). [CrossRef]  

35. K. Shi, F. Bao, and S. He, “Enhanced near-field thermal radiation based on multilayer graphene-hBN heterostructures,” ACS Photonics 4(4), 971–978 (2017). [CrossRef]  

36. B. Zhao and Z. M. Zhang, “Resonance perfect absorption by exciting hyperbolic phonon polaritons in 1D hBN gratings,” Opt. Express 25(7), 7791–7796 (2017). [CrossRef]   [PubMed]  

37. E. Yoxall, M. Schnell, A. Y. Nikitin, O. Txoperena, A. Woessner, M. B. Lundeberg, F. Casanova, L. E. Hueso, F. H. L. Koppens, and R. Hillenbrand, “Direct observation of ultraslow hyperbolic polariton propagation with negative phase velocity,” Nat. Photonics 9(10), 674–678 (2015). [CrossRef]  

38. Y. Gao, G. Ren, B. Zhu, J. Wang, and S. Jian, “Single-mode graphene-coated nanowire plasmonic waveguide,” Opt. Lett. 39(20), 5909–5912 (2014). [CrossRef]   [PubMed]  

39. D. A. Kuzmin, I. V. Bychkov, V. G. Shavrov, and L. N. Kotov, “Transverse-electric plasmonic modes of cylindrical graphene-based waveguide at near-infrared and visible frequencies,” Sci. Rep. 6(1), 26915 (2016). [CrossRef]   [PubMed]  

40. Y. Zhou, Y. Y. Zhu, K. Zhang, H. W. Wu, R. W. Peng, R. H. Fan, and M. Wang, “Plasmonic band structures in doped graphene tubes,” Opt. Express 25(11), 12081–12089 (2017). [CrossRef]  

References

  • View by:

  1. D. N. Basov, M. M. Fogler, and F. J. García de Abajo, “Polaritons in van der Waals materials,” Science 354(6309), 6309 (2016).
    [Crossref] [PubMed]
  2. J. D. Caldwell, I. Vurgaftman, J. G. Tischler, O. J. Glembocki, J. C. Owrutsky, and T. L. Reinecke, “Atomic-scale photonic hybrids for mid-infrared and terahertz nanophotonics,” Nat. Nanotechnol. 11(1), 9–15 (2016).
    [Crossref] [PubMed]
  3. T. Low, A. Chaves, J. D. Caldwell, A. Kumar, N. X. Fang, P. Avouris, T. F. Heinz, F. Guinea, L. Martin-Moreno, and F. Koppens, “Polaritons in layered two-dimensional materials,” Nat. Mater. 16(2), 182–194 (2017).
    [Crossref] [PubMed]
  4. R. Hillenbrand, T. Taubner, and F. Keilmann, “Phonon-enhanced light matter interaction at the nanometre scale,” Nature 418(6894), 159–162 (2002).
    [Crossref] [PubMed]
  5. S. Dai, Z. Fei, Q. Ma, A. S. Rodin, M. Wagner, A. S. McLeod, M. K. Liu, W. Gannett, W. Regan, K. Watanabe, T. Taniguchi, M. Thiemens, G. Dominguez, A. H. C. Neto, A. Zettl, F. Keilmann, P. Jarillo-Herrero, M. M. Fogler, and D. N. Basov, “Tunable phonon polaritons in atomically thin van der waals crystals of boron nitride,” Science 343(6175), 1125–1129 (2014).
    [Crossref] [PubMed]
  6. X. G. Xu, B. G. Ghamsari, J. H. Jiang, L. Gilburd, G. O. Andreev, C. Zhi, Y. Bando, D. Golberg, P. Berini, and G. C. Walker, “One-dimensional surface phonon polaritons in boron nitride nanotubes,” Nat. Commun. 5, 4782 (2014).
    [Crossref] [PubMed]
  7. J. D. Caldwell, A. V. Kretinin, Y. Chen, V. Giannini, M. M. Fogler, Y. Francescato, C. T. Ellis, J. G. Tischler, C. R. Woods, A. J. Giles, M. Hong, K. Watanabe, T. Taniguchi, S. A. Maier, and K. S. Novoselov, “Sub-diffractional volume-confined polaritons in the natural hyperbolic material hexagonal boron nitride,” Nat. Commun. 5, 5221 (2014).
    [Crossref] [PubMed]
  8. S. Dai, Q. Ma, T. Andersen, A. S. Mcleod, Z. Fei, M. K. Liu, M. Wagner, K. Watanabe, T. Taniguchi, M. Thiemens, F. Keilmann, P. Jarillo-Herrero, M. M. Fogler, and D. N. Basov, “Subdiffractional focusing and guiding of polaritonic rays in a natural hyperbolic material,” Nat. Commun. 6, 6963 (2015).
    [Crossref] [PubMed]
  9. A. Tomadin, A. Principi, J. C. W. Song, L. S. Levitov, and M. Polini, “Accessing phonon polaritons in hyperbolic crystals by angle-resolved photoemission spectroscopy,” Phys. Rev. Lett. 115(8), 087401 (2015).
    [Crossref] [PubMed]
  10. Z. Shi, H. A. Bechtel, S. Berweger, Y. Sun, B. Zeng, C. Jin, H. Chang, M. C. Martin, M. B. Raschke, and F. Wang, “Amplitude- and phase-resolved nanospectral imaging of phonon polaritons in hexagonal boron nitride,” ACS Photonics 2(7), 790–796 (2015).
    [Crossref]
  11. L. Wang and X. G. Xu, “Scattering-type scanning near-field optical microscopy with reconstruction of vertical interaction,” Nat. Commun. 6, 8973 (2015).
    [Crossref] [PubMed]
  12. Z. W. Zhao, H. W. Wu, and Y. Zhou, “Surface-confined edge phonon polaritons in hexagonal boron nitride thin films and nanoribbons,” Opt. Express 24(20), 22930–22942 (2016).
    [Crossref] [PubMed]
  13. B. Zhu, G. Ren, Y. Gao, H. Li, B. Wu, and S. Jian, “Strong light confinement and gradient force in a hexagonal boron nitride slot waveguide,” Opt. Lett. 41(21), 4991–4994 (2016).
    [Crossref] [PubMed]
  14. B. Zhu, G. Ren, B. Wu, Y. Gao, H. Li, and S. Jian, “Nanofocusing of hybrid plasmons-phonons-polaritons in a graphene-hexagonal boron nitride heterostructure,” Opt. Lett. 41(19), 4578–4581 (2016).
    [Crossref] [PubMed]
  15. Y. Xu, N. Premkumar, Y. Yang, and B. A. Lail, “Hybrid surface phononic waveguide using hyperbolic boron nitride,” Opt. Express 24(15), 17183–17192 (2016).
    [Crossref] [PubMed]
  16. A. Y. Nikitin, E. Yoxall, M. Schnell, S. Vélez, I. Dolado, P. Alonso-Gonzalez, F. Casanova, L. E. Hueso, and R. Hillenbrand, “Nanofocusing of hyperbolic phonon polaritons in a tapered boron nitride slab,” ACS Photonics 3(6), 924–929 (2016).
    [Crossref]
  17. P. Li, I. Dolado, F. J. Alfaro-Mozaz, A. Y. Nikitin, F. Casanova, L. E. Hueso, S. Vélez, and R. Hillenbrand, “Optical nanoimaging of hyperbolic surface polaritons at the edges of van der Waals materials,” Nano Lett. 17(1), 228–235 (2017).
    [Crossref] [PubMed]
  18. H. Hajian, A. Ghobadi, S. A. Dereshgi, B. Butun, and E. Ozbay, “Hybrid plasmon-phonon polariton bands in graphene-hexagonal boron nitride metamaterials,” J. Opt. Soc. Am. B 34(7), D29–D35 (2017).
    [Crossref]
  19. L. Gilburd, K. S. Kim, K. Ho, D. Trajanoski, A. Maiti, D. Halverson, S. de Beer, and G. C. Walker, “Hexagonal boron nitride self-launches hyperbolic phonon polaritons,” J. Phys. Chem. Lett. 8(10), 2158–2162 (2017).
    [Crossref] [PubMed]
  20. V. W. Brar, M. S. Jang, M. Sherrott, S. Kim, J. J. Lopez, L. B. Kim, M. Choi, and H. Atwater, “Hybrid surface-phonon-plasmon polariton modes in graphene/monolayer h-BN heterostructures,” Nano Lett. 14(7), 3876–3880 (2014).
    [Crossref] [PubMed]
  21. X. G. Xu, J. H. Jiang, L. Gilburd, R. G. Rensing, K. S. Burch, C. Zhi, Y. Bando, D. Golberg, and G. C. Walker, “Mid-infrared polaritonic coupling between boron nitride nanotubes and graphene,” ACS Nano 8(11), 11305–11312 (2014).
    [Crossref] [PubMed]
  22. A. Kumar, T. Low, K. H. Fung, P. Avouris, and N. X. Fang, “Tunable light-matter interaction and the role of hyperbolicity in graphene-hBN system,” Nano Lett. 15(5), 3172–3180 (2015).
    [Crossref] [PubMed]
  23. S. Dai, Q. Ma, M. K. Liu, T. Andersen, Z. Fei, M. D. Goldflam, M. Wagner, K. Watanabe, T. Taniguchi, M. Thiemens, F. Keilmann, G. C. A. M. Janssen, S.-E. Zhu, P. Jarillo-Herrero, M. M. Fogler, and D. N. Basov, “Graphene on hexagonal boron nitride as a tunable hyperbolic metamaterial,” Nat. Nanotechnol. 10(8), 682–686 (2015).
    [Crossref] [PubMed]
  24. A. Woessner, M. B. Lundeberg, Y. Gao, A. Principi, P. Alonso-González, M. Carrega, K. Watanabe, T. Taniguchi, G. Vignale, M. Polini, J. Hone, R. Hillenbrand, and F. H. L. Koppens, “Highly confined low-loss plasmons in graphene-boron nitride heterostructures,” Nat. Mater. 14(4), 421–425 (2015).
    [Crossref] [PubMed]
  25. Y. Jia, H. Zhao, Q. Guo, X. Wang, H. Wang, and F. Xia, “Tunable plasmon-phonon polaritons in layered graphene–hexagonal boron nitride heterostructures,” ACS Photonics 2(7), 907–912 (2015).
    [Crossref]
  26. L. Gilburd, X. G. Xu, Y. Bando, D. Golberg, and G. C. Walker, “Near-field infrared pump-probe imaging of surface phonon coupling in boron nitride nanotubes,” J. Phys. Chem. Lett. 7(2), 289–294 (2016).
    [Crossref] [PubMed]
  27. Y. Wu, L. Jiang, H. Xu, X. Dai, Y. Xiang, and D. Fan, “Hybrid nonlinear surface-phonon-plasmon-polaritons at the interface of nolinear medium and graphene-covered hexagonal boron nitride crystal,” Opt. Express 24(3), 2109–2124 (2016).
    [Crossref] [PubMed]
  28. P. Li, M. Lewin, A. V. Kretinin, J. D. Caldwell, K. S. Novoselov, T. Taniguchi, K. Watanabe, F. Gaussmann, and T. Taubner, “Hyperbolic phonon-polaritons in boron nitride for near-field optical imaging and focusing,” Nat. Commun. 6, 7507 (2015).
    [Crossref] [PubMed]
  29. A. A. Sayem, M. M. Rahman, M. R. C. Mahdy, I. Jahangir, and M. S. Rahman, “Negative refraction with superior transmission in graphene-hexagonal boron nitride (hBN) multilayer hyper crystal,” Sci. Rep. 6(1), 25442 (2016).
    [Crossref] [PubMed]
  30. D. G. Baranov, J. H. Edgar, T. Hoffman, N. Bassim, and J. D. Caldwell, “Perfect interferenceless absorption at infrared frequencies by a van der Waals crystal,” Phys. Rev. B 92(20), 201405 (2015).
    [Crossref]
  31. J. Wu, H. Wang, L. Jiang, J. Guo, X. Dai, Y. Xiang, and S. Wen, “Critical coupling using the hexagonal boron nitride crystals in the mid-infrared range,” J. Appl. Phys. 119(20), 203107 (2016).
    [Crossref]
  32. Y. C. Chang, A. V. Kildishev, E. E. Narimanov, and T. B. Norris, “Metasurface perfect absorber based on guided resonance of a photonic hypercrystal,” Phys. Rev. B 94(15), 155430 (2016).
    [Crossref]
  33. J. Wu, L. Jiang, J. Guo, X. Dai, Y. Xiang, and S. Wen, “Turnable perfect absorption at infrared frequencies by a graphene-hBN hyper crystal,” Opt. Express 24(15), 17103–17114 (2016).
    [Crossref] [PubMed]
  34. B. Zhao and Z. M. Zhang, “Perfect mid-infrared absorption by hybrid phonon-plasmon polaritons in hBN/metal-grating anisotropic structures,” Int. J. Heat Mass Tran. 106, 1025–1034 (2017).
    [Crossref]
  35. K. Shi, F. Bao, and S. He, “Enhanced near-field thermal radiation based on multilayer graphene-hBN heterostructures,” ACS Photonics 4(4), 971–978 (2017).
    [Crossref]
  36. B. Zhao and Z. M. Zhang, “Resonance perfect absorption by exciting hyperbolic phonon polaritons in 1D hBN gratings,” Opt. Express 25(7), 7791–7796 (2017).
    [Crossref] [PubMed]
  37. E. Yoxall, M. Schnell, A. Y. Nikitin, O. Txoperena, A. Woessner, M. B. Lundeberg, F. Casanova, L. E. Hueso, F. H. L. Koppens, and R. Hillenbrand, “Direct observation of ultraslow hyperbolic polariton propagation with negative phase velocity,” Nat. Photonics 9(10), 674–678 (2015).
    [Crossref]
  38. Y. Gao, G. Ren, B. Zhu, J. Wang, and S. Jian, “Single-mode graphene-coated nanowire plasmonic waveguide,” Opt. Lett. 39(20), 5909–5912 (2014).
    [Crossref] [PubMed]
  39. D. A. Kuzmin, I. V. Bychkov, V. G. Shavrov, and L. N. Kotov, “Transverse-electric plasmonic modes of cylindrical graphene-based waveguide at near-infrared and visible frequencies,” Sci. Rep. 6(1), 26915 (2016).
    [Crossref] [PubMed]
  40. Y. Zhou, Y. Y. Zhu, K. Zhang, H. W. Wu, R. W. Peng, R. H. Fan, and M. Wang, “Plasmonic band structures in doped graphene tubes,” Opt. Express 25(11), 12081–12089 (2017).
    [Crossref]

2017 (8)

T. Low, A. Chaves, J. D. Caldwell, A. Kumar, N. X. Fang, P. Avouris, T. F. Heinz, F. Guinea, L. Martin-Moreno, and F. Koppens, “Polaritons in layered two-dimensional materials,” Nat. Mater. 16(2), 182–194 (2017).
[Crossref] [PubMed]

P. Li, I. Dolado, F. J. Alfaro-Mozaz, A. Y. Nikitin, F. Casanova, L. E. Hueso, S. Vélez, and R. Hillenbrand, “Optical nanoimaging of hyperbolic surface polaritons at the edges of van der Waals materials,” Nano Lett. 17(1), 228–235 (2017).
[Crossref] [PubMed]

H. Hajian, A. Ghobadi, S. A. Dereshgi, B. Butun, and E. Ozbay, “Hybrid plasmon-phonon polariton bands in graphene-hexagonal boron nitride metamaterials,” J. Opt. Soc. Am. B 34(7), D29–D35 (2017).
[Crossref]

L. Gilburd, K. S. Kim, K. Ho, D. Trajanoski, A. Maiti, D. Halverson, S. de Beer, and G. C. Walker, “Hexagonal boron nitride self-launches hyperbolic phonon polaritons,” J. Phys. Chem. Lett. 8(10), 2158–2162 (2017).
[Crossref] [PubMed]

B. Zhao and Z. M. Zhang, “Perfect mid-infrared absorption by hybrid phonon-plasmon polaritons in hBN/metal-grating anisotropic structures,” Int. J. Heat Mass Tran. 106, 1025–1034 (2017).
[Crossref]

K. Shi, F. Bao, and S. He, “Enhanced near-field thermal radiation based on multilayer graphene-hBN heterostructures,” ACS Photonics 4(4), 971–978 (2017).
[Crossref]

B. Zhao and Z. M. Zhang, “Resonance perfect absorption by exciting hyperbolic phonon polaritons in 1D hBN gratings,” Opt. Express 25(7), 7791–7796 (2017).
[Crossref] [PubMed]

Y. Zhou, Y. Y. Zhu, K. Zhang, H. W. Wu, R. W. Peng, R. H. Fan, and M. Wang, “Plasmonic band structures in doped graphene tubes,” Opt. Express 25(11), 12081–12089 (2017).
[Crossref]

2016 (14)

D. A. Kuzmin, I. V. Bychkov, V. G. Shavrov, and L. N. Kotov, “Transverse-electric plasmonic modes of cylindrical graphene-based waveguide at near-infrared and visible frequencies,” Sci. Rep. 6(1), 26915 (2016).
[Crossref] [PubMed]

A. A. Sayem, M. M. Rahman, M. R. C. Mahdy, I. Jahangir, and M. S. Rahman, “Negative refraction with superior transmission in graphene-hexagonal boron nitride (hBN) multilayer hyper crystal,” Sci. Rep. 6(1), 25442 (2016).
[Crossref] [PubMed]

J. Wu, H. Wang, L. Jiang, J. Guo, X. Dai, Y. Xiang, and S. Wen, “Critical coupling using the hexagonal boron nitride crystals in the mid-infrared range,” J. Appl. Phys. 119(20), 203107 (2016).
[Crossref]

Y. C. Chang, A. V. Kildishev, E. E. Narimanov, and T. B. Norris, “Metasurface perfect absorber based on guided resonance of a photonic hypercrystal,” Phys. Rev. B 94(15), 155430 (2016).
[Crossref]

J. Wu, L. Jiang, J. Guo, X. Dai, Y. Xiang, and S. Wen, “Turnable perfect absorption at infrared frequencies by a graphene-hBN hyper crystal,” Opt. Express 24(15), 17103–17114 (2016).
[Crossref] [PubMed]

L. Gilburd, X. G. Xu, Y. Bando, D. Golberg, and G. C. Walker, “Near-field infrared pump-probe imaging of surface phonon coupling in boron nitride nanotubes,” J. Phys. Chem. Lett. 7(2), 289–294 (2016).
[Crossref] [PubMed]

Y. Wu, L. Jiang, H. Xu, X. Dai, Y. Xiang, and D. Fan, “Hybrid nonlinear surface-phonon-plasmon-polaritons at the interface of nolinear medium and graphene-covered hexagonal boron nitride crystal,” Opt. Express 24(3), 2109–2124 (2016).
[Crossref] [PubMed]

Z. W. Zhao, H. W. Wu, and Y. Zhou, “Surface-confined edge phonon polaritons in hexagonal boron nitride thin films and nanoribbons,” Opt. Express 24(20), 22930–22942 (2016).
[Crossref] [PubMed]

B. Zhu, G. Ren, Y. Gao, H. Li, B. Wu, and S. Jian, “Strong light confinement and gradient force in a hexagonal boron nitride slot waveguide,” Opt. Lett. 41(21), 4991–4994 (2016).
[Crossref] [PubMed]

B. Zhu, G. Ren, B. Wu, Y. Gao, H. Li, and S. Jian, “Nanofocusing of hybrid plasmons-phonons-polaritons in a graphene-hexagonal boron nitride heterostructure,” Opt. Lett. 41(19), 4578–4581 (2016).
[Crossref] [PubMed]

Y. Xu, N. Premkumar, Y. Yang, and B. A. Lail, “Hybrid surface phononic waveguide using hyperbolic boron nitride,” Opt. Express 24(15), 17183–17192 (2016).
[Crossref] [PubMed]

A. Y. Nikitin, E. Yoxall, M. Schnell, S. Vélez, I. Dolado, P. Alonso-Gonzalez, F. Casanova, L. E. Hueso, and R. Hillenbrand, “Nanofocusing of hyperbolic phonon polaritons in a tapered boron nitride slab,” ACS Photonics 3(6), 924–929 (2016).
[Crossref]

D. N. Basov, M. M. Fogler, and F. J. García de Abajo, “Polaritons in van der Waals materials,” Science 354(6309), 6309 (2016).
[Crossref] [PubMed]

J. D. Caldwell, I. Vurgaftman, J. G. Tischler, O. J. Glembocki, J. C. Owrutsky, and T. L. Reinecke, “Atomic-scale photonic hybrids for mid-infrared and terahertz nanophotonics,” Nat. Nanotechnol. 11(1), 9–15 (2016).
[Crossref] [PubMed]

2015 (11)

S. Dai, Q. Ma, T. Andersen, A. S. Mcleod, Z. Fei, M. K. Liu, M. Wagner, K. Watanabe, T. Taniguchi, M. Thiemens, F. Keilmann, P. Jarillo-Herrero, M. M. Fogler, and D. N. Basov, “Subdiffractional focusing and guiding of polaritonic rays in a natural hyperbolic material,” Nat. Commun. 6, 6963 (2015).
[Crossref] [PubMed]

A. Tomadin, A. Principi, J. C. W. Song, L. S. Levitov, and M. Polini, “Accessing phonon polaritons in hyperbolic crystals by angle-resolved photoemission spectroscopy,” Phys. Rev. Lett. 115(8), 087401 (2015).
[Crossref] [PubMed]

Z. Shi, H. A. Bechtel, S. Berweger, Y. Sun, B. Zeng, C. Jin, H. Chang, M. C. Martin, M. B. Raschke, and F. Wang, “Amplitude- and phase-resolved nanospectral imaging of phonon polaritons in hexagonal boron nitride,” ACS Photonics 2(7), 790–796 (2015).
[Crossref]

L. Wang and X. G. Xu, “Scattering-type scanning near-field optical microscopy with reconstruction of vertical interaction,” Nat. Commun. 6, 8973 (2015).
[Crossref] [PubMed]

P. Li, M. Lewin, A. V. Kretinin, J. D. Caldwell, K. S. Novoselov, T. Taniguchi, K. Watanabe, F. Gaussmann, and T. Taubner, “Hyperbolic phonon-polaritons in boron nitride for near-field optical imaging and focusing,” Nat. Commun. 6, 7507 (2015).
[Crossref] [PubMed]

A. Kumar, T. Low, K. H. Fung, P. Avouris, and N. X. Fang, “Tunable light-matter interaction and the role of hyperbolicity in graphene-hBN system,” Nano Lett. 15(5), 3172–3180 (2015).
[Crossref] [PubMed]

S. Dai, Q. Ma, M. K. Liu, T. Andersen, Z. Fei, M. D. Goldflam, M. Wagner, K. Watanabe, T. Taniguchi, M. Thiemens, F. Keilmann, G. C. A. M. Janssen, S.-E. Zhu, P. Jarillo-Herrero, M. M. Fogler, and D. N. Basov, “Graphene on hexagonal boron nitride as a tunable hyperbolic metamaterial,” Nat. Nanotechnol. 10(8), 682–686 (2015).
[Crossref] [PubMed]

A. Woessner, M. B. Lundeberg, Y. Gao, A. Principi, P. Alonso-González, M. Carrega, K. Watanabe, T. Taniguchi, G. Vignale, M. Polini, J. Hone, R. Hillenbrand, and F. H. L. Koppens, “Highly confined low-loss plasmons in graphene-boron nitride heterostructures,” Nat. Mater. 14(4), 421–425 (2015).
[Crossref] [PubMed]

Y. Jia, H. Zhao, Q. Guo, X. Wang, H. Wang, and F. Xia, “Tunable plasmon-phonon polaritons in layered graphene–hexagonal boron nitride heterostructures,” ACS Photonics 2(7), 907–912 (2015).
[Crossref]

D. G. Baranov, J. H. Edgar, T. Hoffman, N. Bassim, and J. D. Caldwell, “Perfect interferenceless absorption at infrared frequencies by a van der Waals crystal,” Phys. Rev. B 92(20), 201405 (2015).
[Crossref]

E. Yoxall, M. Schnell, A. Y. Nikitin, O. Txoperena, A. Woessner, M. B. Lundeberg, F. Casanova, L. E. Hueso, F. H. L. Koppens, and R. Hillenbrand, “Direct observation of ultraslow hyperbolic polariton propagation with negative phase velocity,” Nat. Photonics 9(10), 674–678 (2015).
[Crossref]

2014 (6)

Y. Gao, G. Ren, B. Zhu, J. Wang, and S. Jian, “Single-mode graphene-coated nanowire plasmonic waveguide,” Opt. Lett. 39(20), 5909–5912 (2014).
[Crossref] [PubMed]

S. Dai, Z. Fei, Q. Ma, A. S. Rodin, M. Wagner, A. S. McLeod, M. K. Liu, W. Gannett, W. Regan, K. Watanabe, T. Taniguchi, M. Thiemens, G. Dominguez, A. H. C. Neto, A. Zettl, F. Keilmann, P. Jarillo-Herrero, M. M. Fogler, and D. N. Basov, “Tunable phonon polaritons in atomically thin van der waals crystals of boron nitride,” Science 343(6175), 1125–1129 (2014).
[Crossref] [PubMed]

X. G. Xu, B. G. Ghamsari, J. H. Jiang, L. Gilburd, G. O. Andreev, C. Zhi, Y. Bando, D. Golberg, P. Berini, and G. C. Walker, “One-dimensional surface phonon polaritons in boron nitride nanotubes,” Nat. Commun. 5, 4782 (2014).
[Crossref] [PubMed]

J. D. Caldwell, A. V. Kretinin, Y. Chen, V. Giannini, M. M. Fogler, Y. Francescato, C. T. Ellis, J. G. Tischler, C. R. Woods, A. J. Giles, M. Hong, K. Watanabe, T. Taniguchi, S. A. Maier, and K. S. Novoselov, “Sub-diffractional volume-confined polaritons in the natural hyperbolic material hexagonal boron nitride,” Nat. Commun. 5, 5221 (2014).
[Crossref] [PubMed]

V. W. Brar, M. S. Jang, M. Sherrott, S. Kim, J. J. Lopez, L. B. Kim, M. Choi, and H. Atwater, “Hybrid surface-phonon-plasmon polariton modes in graphene/monolayer h-BN heterostructures,” Nano Lett. 14(7), 3876–3880 (2014).
[Crossref] [PubMed]

X. G. Xu, J. H. Jiang, L. Gilburd, R. G. Rensing, K. S. Burch, C. Zhi, Y. Bando, D. Golberg, and G. C. Walker, “Mid-infrared polaritonic coupling between boron nitride nanotubes and graphene,” ACS Nano 8(11), 11305–11312 (2014).
[Crossref] [PubMed]

2002 (1)

R. Hillenbrand, T. Taubner, and F. Keilmann, “Phonon-enhanced light matter interaction at the nanometre scale,” Nature 418(6894), 159–162 (2002).
[Crossref] [PubMed]

Alfaro-Mozaz, F. J.

P. Li, I. Dolado, F. J. Alfaro-Mozaz, A. Y. Nikitin, F. Casanova, L. E. Hueso, S. Vélez, and R. Hillenbrand, “Optical nanoimaging of hyperbolic surface polaritons at the edges of van der Waals materials,” Nano Lett. 17(1), 228–235 (2017).
[Crossref] [PubMed]

Alonso-Gonzalez, P.

A. Y. Nikitin, E. Yoxall, M. Schnell, S. Vélez, I. Dolado, P. Alonso-Gonzalez, F. Casanova, L. E. Hueso, and R. Hillenbrand, “Nanofocusing of hyperbolic phonon polaritons in a tapered boron nitride slab,” ACS Photonics 3(6), 924–929 (2016).
[Crossref]

Alonso-González, P.

A. Woessner, M. B. Lundeberg, Y. Gao, A. Principi, P. Alonso-González, M. Carrega, K. Watanabe, T. Taniguchi, G. Vignale, M. Polini, J. Hone, R. Hillenbrand, and F. H. L. Koppens, “Highly confined low-loss plasmons in graphene-boron nitride heterostructures,” Nat. Mater. 14(4), 421–425 (2015).
[Crossref] [PubMed]

Andersen, T.

S. Dai, Q. Ma, M. K. Liu, T. Andersen, Z. Fei, M. D. Goldflam, M. Wagner, K. Watanabe, T. Taniguchi, M. Thiemens, F. Keilmann, G. C. A. M. Janssen, S.-E. Zhu, P. Jarillo-Herrero, M. M. Fogler, and D. N. Basov, “Graphene on hexagonal boron nitride as a tunable hyperbolic metamaterial,” Nat. Nanotechnol. 10(8), 682–686 (2015).
[Crossref] [PubMed]

S. Dai, Q. Ma, T. Andersen, A. S. Mcleod, Z. Fei, M. K. Liu, M. Wagner, K. Watanabe, T. Taniguchi, M. Thiemens, F. Keilmann, P. Jarillo-Herrero, M. M. Fogler, and D. N. Basov, “Subdiffractional focusing and guiding of polaritonic rays in a natural hyperbolic material,” Nat. Commun. 6, 6963 (2015).
[Crossref] [PubMed]

Andreev, G. O.

X. G. Xu, B. G. Ghamsari, J. H. Jiang, L. Gilburd, G. O. Andreev, C. Zhi, Y. Bando, D. Golberg, P. Berini, and G. C. Walker, “One-dimensional surface phonon polaritons in boron nitride nanotubes,” Nat. Commun. 5, 4782 (2014).
[Crossref] [PubMed]

Atwater, H.

V. W. Brar, M. S. Jang, M. Sherrott, S. Kim, J. J. Lopez, L. B. Kim, M. Choi, and H. Atwater, “Hybrid surface-phonon-plasmon polariton modes in graphene/monolayer h-BN heterostructures,” Nano Lett. 14(7), 3876–3880 (2014).
[Crossref] [PubMed]

Avouris, P.

T. Low, A. Chaves, J. D. Caldwell, A. Kumar, N. X. Fang, P. Avouris, T. F. Heinz, F. Guinea, L. Martin-Moreno, and F. Koppens, “Polaritons in layered two-dimensional materials,” Nat. Mater. 16(2), 182–194 (2017).
[Crossref] [PubMed]

A. Kumar, T. Low, K. H. Fung, P. Avouris, and N. X. Fang, “Tunable light-matter interaction and the role of hyperbolicity in graphene-hBN system,” Nano Lett. 15(5), 3172–3180 (2015).
[Crossref] [PubMed]

Bando, Y.

L. Gilburd, X. G. Xu, Y. Bando, D. Golberg, and G. C. Walker, “Near-field infrared pump-probe imaging of surface phonon coupling in boron nitride nanotubes,” J. Phys. Chem. Lett. 7(2), 289–294 (2016).
[Crossref] [PubMed]

X. G. Xu, J. H. Jiang, L. Gilburd, R. G. Rensing, K. S. Burch, C. Zhi, Y. Bando, D. Golberg, and G. C. Walker, “Mid-infrared polaritonic coupling between boron nitride nanotubes and graphene,” ACS Nano 8(11), 11305–11312 (2014).
[Crossref] [PubMed]

X. G. Xu, B. G. Ghamsari, J. H. Jiang, L. Gilburd, G. O. Andreev, C. Zhi, Y. Bando, D. Golberg, P. Berini, and G. C. Walker, “One-dimensional surface phonon polaritons in boron nitride nanotubes,” Nat. Commun. 5, 4782 (2014).
[Crossref] [PubMed]

Bao, F.

K. Shi, F. Bao, and S. He, “Enhanced near-field thermal radiation based on multilayer graphene-hBN heterostructures,” ACS Photonics 4(4), 971–978 (2017).
[Crossref]

Baranov, D. G.

D. G. Baranov, J. H. Edgar, T. Hoffman, N. Bassim, and J. D. Caldwell, “Perfect interferenceless absorption at infrared frequencies by a van der Waals crystal,” Phys. Rev. B 92(20), 201405 (2015).
[Crossref]

Basov, D. N.

D. N. Basov, M. M. Fogler, and F. J. García de Abajo, “Polaritons in van der Waals materials,” Science 354(6309), 6309 (2016).
[Crossref] [PubMed]

S. Dai, Q. Ma, T. Andersen, A. S. Mcleod, Z. Fei, M. K. Liu, M. Wagner, K. Watanabe, T. Taniguchi, M. Thiemens, F. Keilmann, P. Jarillo-Herrero, M. M. Fogler, and D. N. Basov, “Subdiffractional focusing and guiding of polaritonic rays in a natural hyperbolic material,” Nat. Commun. 6, 6963 (2015).
[Crossref] [PubMed]

S. Dai, Q. Ma, M. K. Liu, T. Andersen, Z. Fei, M. D. Goldflam, M. Wagner, K. Watanabe, T. Taniguchi, M. Thiemens, F. Keilmann, G. C. A. M. Janssen, S.-E. Zhu, P. Jarillo-Herrero, M. M. Fogler, and D. N. Basov, “Graphene on hexagonal boron nitride as a tunable hyperbolic metamaterial,” Nat. Nanotechnol. 10(8), 682–686 (2015).
[Crossref] [PubMed]

S. Dai, Z. Fei, Q. Ma, A. S. Rodin, M. Wagner, A. S. McLeod, M. K. Liu, W. Gannett, W. Regan, K. Watanabe, T. Taniguchi, M. Thiemens, G. Dominguez, A. H. C. Neto, A. Zettl, F. Keilmann, P. Jarillo-Herrero, M. M. Fogler, and D. N. Basov, “Tunable phonon polaritons in atomically thin van der waals crystals of boron nitride,” Science 343(6175), 1125–1129 (2014).
[Crossref] [PubMed]

Bassim, N.

D. G. Baranov, J. H. Edgar, T. Hoffman, N. Bassim, and J. D. Caldwell, “Perfect interferenceless absorption at infrared frequencies by a van der Waals crystal,” Phys. Rev. B 92(20), 201405 (2015).
[Crossref]

Bechtel, H. A.

Z. Shi, H. A. Bechtel, S. Berweger, Y. Sun, B. Zeng, C. Jin, H. Chang, M. C. Martin, M. B. Raschke, and F. Wang, “Amplitude- and phase-resolved nanospectral imaging of phonon polaritons in hexagonal boron nitride,” ACS Photonics 2(7), 790–796 (2015).
[Crossref]

Berini, P.

X. G. Xu, B. G. Ghamsari, J. H. Jiang, L. Gilburd, G. O. Andreev, C. Zhi, Y. Bando, D. Golberg, P. Berini, and G. C. Walker, “One-dimensional surface phonon polaritons in boron nitride nanotubes,” Nat. Commun. 5, 4782 (2014).
[Crossref] [PubMed]

Berweger, S.

Z. Shi, H. A. Bechtel, S. Berweger, Y. Sun, B. Zeng, C. Jin, H. Chang, M. C. Martin, M. B. Raschke, and F. Wang, “Amplitude- and phase-resolved nanospectral imaging of phonon polaritons in hexagonal boron nitride,” ACS Photonics 2(7), 790–796 (2015).
[Crossref]

Brar, V. W.

V. W. Brar, M. S. Jang, M. Sherrott, S. Kim, J. J. Lopez, L. B. Kim, M. Choi, and H. Atwater, “Hybrid surface-phonon-plasmon polariton modes in graphene/monolayer h-BN heterostructures,” Nano Lett. 14(7), 3876–3880 (2014).
[Crossref] [PubMed]

Burch, K. S.

X. G. Xu, J. H. Jiang, L. Gilburd, R. G. Rensing, K. S. Burch, C. Zhi, Y. Bando, D. Golberg, and G. C. Walker, “Mid-infrared polaritonic coupling between boron nitride nanotubes and graphene,” ACS Nano 8(11), 11305–11312 (2014).
[Crossref] [PubMed]

Butun, B.

Bychkov, I. V.

D. A. Kuzmin, I. V. Bychkov, V. G. Shavrov, and L. N. Kotov, “Transverse-electric plasmonic modes of cylindrical graphene-based waveguide at near-infrared and visible frequencies,” Sci. Rep. 6(1), 26915 (2016).
[Crossref] [PubMed]

Caldwell, J. D.

T. Low, A. Chaves, J. D. Caldwell, A. Kumar, N. X. Fang, P. Avouris, T. F. Heinz, F. Guinea, L. Martin-Moreno, and F. Koppens, “Polaritons in layered two-dimensional materials,” Nat. Mater. 16(2), 182–194 (2017).
[Crossref] [PubMed]

J. D. Caldwell, I. Vurgaftman, J. G. Tischler, O. J. Glembocki, J. C. Owrutsky, and T. L. Reinecke, “Atomic-scale photonic hybrids for mid-infrared and terahertz nanophotonics,” Nat. Nanotechnol. 11(1), 9–15 (2016).
[Crossref] [PubMed]

D. G. Baranov, J. H. Edgar, T. Hoffman, N. Bassim, and J. D. Caldwell, “Perfect interferenceless absorption at infrared frequencies by a van der Waals crystal,” Phys. Rev. B 92(20), 201405 (2015).
[Crossref]

P. Li, M. Lewin, A. V. Kretinin, J. D. Caldwell, K. S. Novoselov, T. Taniguchi, K. Watanabe, F. Gaussmann, and T. Taubner, “Hyperbolic phonon-polaritons in boron nitride for near-field optical imaging and focusing,” Nat. Commun. 6, 7507 (2015).
[Crossref] [PubMed]

J. D. Caldwell, A. V. Kretinin, Y. Chen, V. Giannini, M. M. Fogler, Y. Francescato, C. T. Ellis, J. G. Tischler, C. R. Woods, A. J. Giles, M. Hong, K. Watanabe, T. Taniguchi, S. A. Maier, and K. S. Novoselov, “Sub-diffractional volume-confined polaritons in the natural hyperbolic material hexagonal boron nitride,” Nat. Commun. 5, 5221 (2014).
[Crossref] [PubMed]

Carrega, M.

A. Woessner, M. B. Lundeberg, Y. Gao, A. Principi, P. Alonso-González, M. Carrega, K. Watanabe, T. Taniguchi, G. Vignale, M. Polini, J. Hone, R. Hillenbrand, and F. H. L. Koppens, “Highly confined low-loss plasmons in graphene-boron nitride heterostructures,” Nat. Mater. 14(4), 421–425 (2015).
[Crossref] [PubMed]

Casanova, F.

P. Li, I. Dolado, F. J. Alfaro-Mozaz, A. Y. Nikitin, F. Casanova, L. E. Hueso, S. Vélez, and R. Hillenbrand, “Optical nanoimaging of hyperbolic surface polaritons at the edges of van der Waals materials,” Nano Lett. 17(1), 228–235 (2017).
[Crossref] [PubMed]

A. Y. Nikitin, E. Yoxall, M. Schnell, S. Vélez, I. Dolado, P. Alonso-Gonzalez, F. Casanova, L. E. Hueso, and R. Hillenbrand, “Nanofocusing of hyperbolic phonon polaritons in a tapered boron nitride slab,” ACS Photonics 3(6), 924–929 (2016).
[Crossref]

E. Yoxall, M. Schnell, A. Y. Nikitin, O. Txoperena, A. Woessner, M. B. Lundeberg, F. Casanova, L. E. Hueso, F. H. L. Koppens, and R. Hillenbrand, “Direct observation of ultraslow hyperbolic polariton propagation with negative phase velocity,” Nat. Photonics 9(10), 674–678 (2015).
[Crossref]

Chang, H.

Z. Shi, H. A. Bechtel, S. Berweger, Y. Sun, B. Zeng, C. Jin, H. Chang, M. C. Martin, M. B. Raschke, and F. Wang, “Amplitude- and phase-resolved nanospectral imaging of phonon polaritons in hexagonal boron nitride,” ACS Photonics 2(7), 790–796 (2015).
[Crossref]

Chang, Y. C.

Y. C. Chang, A. V. Kildishev, E. E. Narimanov, and T. B. Norris, “Metasurface perfect absorber based on guided resonance of a photonic hypercrystal,” Phys. Rev. B 94(15), 155430 (2016).
[Crossref]

Chaves, A.

T. Low, A. Chaves, J. D. Caldwell, A. Kumar, N. X. Fang, P. Avouris, T. F. Heinz, F. Guinea, L. Martin-Moreno, and F. Koppens, “Polaritons in layered two-dimensional materials,” Nat. Mater. 16(2), 182–194 (2017).
[Crossref] [PubMed]

Chen, Y.

J. D. Caldwell, A. V. Kretinin, Y. Chen, V. Giannini, M. M. Fogler, Y. Francescato, C. T. Ellis, J. G. Tischler, C. R. Woods, A. J. Giles, M. Hong, K. Watanabe, T. Taniguchi, S. A. Maier, and K. S. Novoselov, “Sub-diffractional volume-confined polaritons in the natural hyperbolic material hexagonal boron nitride,” Nat. Commun. 5, 5221 (2014).
[Crossref] [PubMed]

Choi, M.

V. W. Brar, M. S. Jang, M. Sherrott, S. Kim, J. J. Lopez, L. B. Kim, M. Choi, and H. Atwater, “Hybrid surface-phonon-plasmon polariton modes in graphene/monolayer h-BN heterostructures,” Nano Lett. 14(7), 3876–3880 (2014).
[Crossref] [PubMed]

Dai, S.

S. Dai, Q. Ma, M. K. Liu, T. Andersen, Z. Fei, M. D. Goldflam, M. Wagner, K. Watanabe, T. Taniguchi, M. Thiemens, F. Keilmann, G. C. A. M. Janssen, S.-E. Zhu, P. Jarillo-Herrero, M. M. Fogler, and D. N. Basov, “Graphene on hexagonal boron nitride as a tunable hyperbolic metamaterial,” Nat. Nanotechnol. 10(8), 682–686 (2015).
[Crossref] [PubMed]

S. Dai, Q. Ma, T. Andersen, A. S. Mcleod, Z. Fei, M. K. Liu, M. Wagner, K. Watanabe, T. Taniguchi, M. Thiemens, F. Keilmann, P. Jarillo-Herrero, M. M. Fogler, and D. N. Basov, “Subdiffractional focusing and guiding of polaritonic rays in a natural hyperbolic material,” Nat. Commun. 6, 6963 (2015).
[Crossref] [PubMed]

S. Dai, Z. Fei, Q. Ma, A. S. Rodin, M. Wagner, A. S. McLeod, M. K. Liu, W. Gannett, W. Regan, K. Watanabe, T. Taniguchi, M. Thiemens, G. Dominguez, A. H. C. Neto, A. Zettl, F. Keilmann, P. Jarillo-Herrero, M. M. Fogler, and D. N. Basov, “Tunable phonon polaritons in atomically thin van der waals crystals of boron nitride,” Science 343(6175), 1125–1129 (2014).
[Crossref] [PubMed]

Dai, X.

de Beer, S.

L. Gilburd, K. S. Kim, K. Ho, D. Trajanoski, A. Maiti, D. Halverson, S. de Beer, and G. C. Walker, “Hexagonal boron nitride self-launches hyperbolic phonon polaritons,” J. Phys. Chem. Lett. 8(10), 2158–2162 (2017).
[Crossref] [PubMed]

Dereshgi, S. A.

Dolado, I.

P. Li, I. Dolado, F. J. Alfaro-Mozaz, A. Y. Nikitin, F. Casanova, L. E. Hueso, S. Vélez, and R. Hillenbrand, “Optical nanoimaging of hyperbolic surface polaritons at the edges of van der Waals materials,” Nano Lett. 17(1), 228–235 (2017).
[Crossref] [PubMed]

A. Y. Nikitin, E. Yoxall, M. Schnell, S. Vélez, I. Dolado, P. Alonso-Gonzalez, F. Casanova, L. E. Hueso, and R. Hillenbrand, “Nanofocusing of hyperbolic phonon polaritons in a tapered boron nitride slab,” ACS Photonics 3(6), 924–929 (2016).
[Crossref]

Dominguez, G.

S. Dai, Z. Fei, Q. Ma, A. S. Rodin, M. Wagner, A. S. McLeod, M. K. Liu, W. Gannett, W. Regan, K. Watanabe, T. Taniguchi, M. Thiemens, G. Dominguez, A. H. C. Neto, A. Zettl, F. Keilmann, P. Jarillo-Herrero, M. M. Fogler, and D. N. Basov, “Tunable phonon polaritons in atomically thin van der waals crystals of boron nitride,” Science 343(6175), 1125–1129 (2014).
[Crossref] [PubMed]

Edgar, J. H.

D. G. Baranov, J. H. Edgar, T. Hoffman, N. Bassim, and J. D. Caldwell, “Perfect interferenceless absorption at infrared frequencies by a van der Waals crystal,” Phys. Rev. B 92(20), 201405 (2015).
[Crossref]

Ellis, C. T.

J. D. Caldwell, A. V. Kretinin, Y. Chen, V. Giannini, M. M. Fogler, Y. Francescato, C. T. Ellis, J. G. Tischler, C. R. Woods, A. J. Giles, M. Hong, K. Watanabe, T. Taniguchi, S. A. Maier, and K. S. Novoselov, “Sub-diffractional volume-confined polaritons in the natural hyperbolic material hexagonal boron nitride,” Nat. Commun. 5, 5221 (2014).
[Crossref] [PubMed]

Fan, D.

Fan, R. H.

Fang, N. X.

T. Low, A. Chaves, J. D. Caldwell, A. Kumar, N. X. Fang, P. Avouris, T. F. Heinz, F. Guinea, L. Martin-Moreno, and F. Koppens, “Polaritons in layered two-dimensional materials,” Nat. Mater. 16(2), 182–194 (2017).
[Crossref] [PubMed]

A. Kumar, T. Low, K. H. Fung, P. Avouris, and N. X. Fang, “Tunable light-matter interaction and the role of hyperbolicity in graphene-hBN system,” Nano Lett. 15(5), 3172–3180 (2015).
[Crossref] [PubMed]

Fei, Z.

S. Dai, Q. Ma, M. K. Liu, T. Andersen, Z. Fei, M. D. Goldflam, M. Wagner, K. Watanabe, T. Taniguchi, M. Thiemens, F. Keilmann, G. C. A. M. Janssen, S.-E. Zhu, P. Jarillo-Herrero, M. M. Fogler, and D. N. Basov, “Graphene on hexagonal boron nitride as a tunable hyperbolic metamaterial,” Nat. Nanotechnol. 10(8), 682–686 (2015).
[Crossref] [PubMed]

S. Dai, Q. Ma, T. Andersen, A. S. Mcleod, Z. Fei, M. K. Liu, M. Wagner, K. Watanabe, T. Taniguchi, M. Thiemens, F. Keilmann, P. Jarillo-Herrero, M. M. Fogler, and D. N. Basov, “Subdiffractional focusing and guiding of polaritonic rays in a natural hyperbolic material,” Nat. Commun. 6, 6963 (2015).
[Crossref] [PubMed]

S. Dai, Z. Fei, Q. Ma, A. S. Rodin, M. Wagner, A. S. McLeod, M. K. Liu, W. Gannett, W. Regan, K. Watanabe, T. Taniguchi, M. Thiemens, G. Dominguez, A. H. C. Neto, A. Zettl, F. Keilmann, P. Jarillo-Herrero, M. M. Fogler, and D. N. Basov, “Tunable phonon polaritons in atomically thin van der waals crystals of boron nitride,” Science 343(6175), 1125–1129 (2014).
[Crossref] [PubMed]

Fogler, M. M.

D. N. Basov, M. M. Fogler, and F. J. García de Abajo, “Polaritons in van der Waals materials,” Science 354(6309), 6309 (2016).
[Crossref] [PubMed]

S. Dai, Q. Ma, T. Andersen, A. S. Mcleod, Z. Fei, M. K. Liu, M. Wagner, K. Watanabe, T. Taniguchi, M. Thiemens, F. Keilmann, P. Jarillo-Herrero, M. M. Fogler, and D. N. Basov, “Subdiffractional focusing and guiding of polaritonic rays in a natural hyperbolic material,” Nat. Commun. 6, 6963 (2015).
[Crossref] [PubMed]

S. Dai, Q. Ma, M. K. Liu, T. Andersen, Z. Fei, M. D. Goldflam, M. Wagner, K. Watanabe, T. Taniguchi, M. Thiemens, F. Keilmann, G. C. A. M. Janssen, S.-E. Zhu, P. Jarillo-Herrero, M. M. Fogler, and D. N. Basov, “Graphene on hexagonal boron nitride as a tunable hyperbolic metamaterial,” Nat. Nanotechnol. 10(8), 682–686 (2015).
[Crossref] [PubMed]

J. D. Caldwell, A. V. Kretinin, Y. Chen, V. Giannini, M. M. Fogler, Y. Francescato, C. T. Ellis, J. G. Tischler, C. R. Woods, A. J. Giles, M. Hong, K. Watanabe, T. Taniguchi, S. A. Maier, and K. S. Novoselov, “Sub-diffractional volume-confined polaritons in the natural hyperbolic material hexagonal boron nitride,” Nat. Commun. 5, 5221 (2014).
[Crossref] [PubMed]

S. Dai, Z. Fei, Q. Ma, A. S. Rodin, M. Wagner, A. S. McLeod, M. K. Liu, W. Gannett, W. Regan, K. Watanabe, T. Taniguchi, M. Thiemens, G. Dominguez, A. H. C. Neto, A. Zettl, F. Keilmann, P. Jarillo-Herrero, M. M. Fogler, and D. N. Basov, “Tunable phonon polaritons in atomically thin van der waals crystals of boron nitride,” Science 343(6175), 1125–1129 (2014).
[Crossref] [PubMed]

Francescato, Y.

J. D. Caldwell, A. V. Kretinin, Y. Chen, V. Giannini, M. M. Fogler, Y. Francescato, C. T. Ellis, J. G. Tischler, C. R. Woods, A. J. Giles, M. Hong, K. Watanabe, T. Taniguchi, S. A. Maier, and K. S. Novoselov, “Sub-diffractional volume-confined polaritons in the natural hyperbolic material hexagonal boron nitride,” Nat. Commun. 5, 5221 (2014).
[Crossref] [PubMed]

Fung, K. H.

A. Kumar, T. Low, K. H. Fung, P. Avouris, and N. X. Fang, “Tunable light-matter interaction and the role of hyperbolicity in graphene-hBN system,” Nano Lett. 15(5), 3172–3180 (2015).
[Crossref] [PubMed]

Gannett, W.

S. Dai, Z. Fei, Q. Ma, A. S. Rodin, M. Wagner, A. S. McLeod, M. K. Liu, W. Gannett, W. Regan, K. Watanabe, T. Taniguchi, M. Thiemens, G. Dominguez, A. H. C. Neto, A. Zettl, F. Keilmann, P. Jarillo-Herrero, M. M. Fogler, and D. N. Basov, “Tunable phonon polaritons in atomically thin van der waals crystals of boron nitride,” Science 343(6175), 1125–1129 (2014).
[Crossref] [PubMed]

Gao, Y.

García de Abajo, F. J.

D. N. Basov, M. M. Fogler, and F. J. García de Abajo, “Polaritons in van der Waals materials,” Science 354(6309), 6309 (2016).
[Crossref] [PubMed]

Gaussmann, F.

P. Li, M. Lewin, A. V. Kretinin, J. D. Caldwell, K. S. Novoselov, T. Taniguchi, K. Watanabe, F. Gaussmann, and T. Taubner, “Hyperbolic phonon-polaritons in boron nitride for near-field optical imaging and focusing,” Nat. Commun. 6, 7507 (2015).
[Crossref] [PubMed]

Ghamsari, B. G.

X. G. Xu, B. G. Ghamsari, J. H. Jiang, L. Gilburd, G. O. Andreev, C. Zhi, Y. Bando, D. Golberg, P. Berini, and G. C. Walker, “One-dimensional surface phonon polaritons in boron nitride nanotubes,” Nat. Commun. 5, 4782 (2014).
[Crossref] [PubMed]

Ghobadi, A.

Giannini, V.

J. D. Caldwell, A. V. Kretinin, Y. Chen, V. Giannini, M. M. Fogler, Y. Francescato, C. T. Ellis, J. G. Tischler, C. R. Woods, A. J. Giles, M. Hong, K. Watanabe, T. Taniguchi, S. A. Maier, and K. S. Novoselov, “Sub-diffractional volume-confined polaritons in the natural hyperbolic material hexagonal boron nitride,” Nat. Commun. 5, 5221 (2014).
[Crossref] [PubMed]

Gilburd, L.

L. Gilburd, K. S. Kim, K. Ho, D. Trajanoski, A. Maiti, D. Halverson, S. de Beer, and G. C. Walker, “Hexagonal boron nitride self-launches hyperbolic phonon polaritons,” J. Phys. Chem. Lett. 8(10), 2158–2162 (2017).
[Crossref] [PubMed]

L. Gilburd, X. G. Xu, Y. Bando, D. Golberg, and G. C. Walker, “Near-field infrared pump-probe imaging of surface phonon coupling in boron nitride nanotubes,” J. Phys. Chem. Lett. 7(2), 289–294 (2016).
[Crossref] [PubMed]

X. G. Xu, J. H. Jiang, L. Gilburd, R. G. Rensing, K. S. Burch, C. Zhi, Y. Bando, D. Golberg, and G. C. Walker, “Mid-infrared polaritonic coupling between boron nitride nanotubes and graphene,” ACS Nano 8(11), 11305–11312 (2014).
[Crossref] [PubMed]

X. G. Xu, B. G. Ghamsari, J. H. Jiang, L. Gilburd, G. O. Andreev, C. Zhi, Y. Bando, D. Golberg, P. Berini, and G. C. Walker, “One-dimensional surface phonon polaritons in boron nitride nanotubes,” Nat. Commun. 5, 4782 (2014).
[Crossref] [PubMed]

Giles, A. J.

J. D. Caldwell, A. V. Kretinin, Y. Chen, V. Giannini, M. M. Fogler, Y. Francescato, C. T. Ellis, J. G. Tischler, C. R. Woods, A. J. Giles, M. Hong, K. Watanabe, T. Taniguchi, S. A. Maier, and K. S. Novoselov, “Sub-diffractional volume-confined polaritons in the natural hyperbolic material hexagonal boron nitride,” Nat. Commun. 5, 5221 (2014).
[Crossref] [PubMed]

Glembocki, O. J.

J. D. Caldwell, I. Vurgaftman, J. G. Tischler, O. J. Glembocki, J. C. Owrutsky, and T. L. Reinecke, “Atomic-scale photonic hybrids for mid-infrared and terahertz nanophotonics,” Nat. Nanotechnol. 11(1), 9–15 (2016).
[Crossref] [PubMed]

Golberg, D.

L. Gilburd, X. G. Xu, Y. Bando, D. Golberg, and G. C. Walker, “Near-field infrared pump-probe imaging of surface phonon coupling in boron nitride nanotubes,” J. Phys. Chem. Lett. 7(2), 289–294 (2016).
[Crossref] [PubMed]

X. G. Xu, J. H. Jiang, L. Gilburd, R. G. Rensing, K. S. Burch, C. Zhi, Y. Bando, D. Golberg, and G. C. Walker, “Mid-infrared polaritonic coupling between boron nitride nanotubes and graphene,” ACS Nano 8(11), 11305–11312 (2014).
[Crossref] [PubMed]

X. G. Xu, B. G. Ghamsari, J. H. Jiang, L. Gilburd, G. O. Andreev, C. Zhi, Y. Bando, D. Golberg, P. Berini, and G. C. Walker, “One-dimensional surface phonon polaritons in boron nitride nanotubes,” Nat. Commun. 5, 4782 (2014).
[Crossref] [PubMed]

Goldflam, M. D.

S. Dai, Q. Ma, M. K. Liu, T. Andersen, Z. Fei, M. D. Goldflam, M. Wagner, K. Watanabe, T. Taniguchi, M. Thiemens, F. Keilmann, G. C. A. M. Janssen, S.-E. Zhu, P. Jarillo-Herrero, M. M. Fogler, and D. N. Basov, “Graphene on hexagonal boron nitride as a tunable hyperbolic metamaterial,” Nat. Nanotechnol. 10(8), 682–686 (2015).
[Crossref] [PubMed]

Guinea, F.

T. Low, A. Chaves, J. D. Caldwell, A. Kumar, N. X. Fang, P. Avouris, T. F. Heinz, F. Guinea, L. Martin-Moreno, and F. Koppens, “Polaritons in layered two-dimensional materials,” Nat. Mater. 16(2), 182–194 (2017).
[Crossref] [PubMed]

Guo, J.

J. Wu, H. Wang, L. Jiang, J. Guo, X. Dai, Y. Xiang, and S. Wen, “Critical coupling using the hexagonal boron nitride crystals in the mid-infrared range,” J. Appl. Phys. 119(20), 203107 (2016).
[Crossref]

J. Wu, L. Jiang, J. Guo, X. Dai, Y. Xiang, and S. Wen, “Turnable perfect absorption at infrared frequencies by a graphene-hBN hyper crystal,” Opt. Express 24(15), 17103–17114 (2016).
[Crossref] [PubMed]

Guo, Q.

Y. Jia, H. Zhao, Q. Guo, X. Wang, H. Wang, and F. Xia, “Tunable plasmon-phonon polaritons in layered graphene–hexagonal boron nitride heterostructures,” ACS Photonics 2(7), 907–912 (2015).
[Crossref]

Hajian, H.

Halverson, D.

L. Gilburd, K. S. Kim, K. Ho, D. Trajanoski, A. Maiti, D. Halverson, S. de Beer, and G. C. Walker, “Hexagonal boron nitride self-launches hyperbolic phonon polaritons,” J. Phys. Chem. Lett. 8(10), 2158–2162 (2017).
[Crossref] [PubMed]

He, S.

K. Shi, F. Bao, and S. He, “Enhanced near-field thermal radiation based on multilayer graphene-hBN heterostructures,” ACS Photonics 4(4), 971–978 (2017).
[Crossref]

Heinz, T. F.

T. Low, A. Chaves, J. D. Caldwell, A. Kumar, N. X. Fang, P. Avouris, T. F. Heinz, F. Guinea, L. Martin-Moreno, and F. Koppens, “Polaritons in layered two-dimensional materials,” Nat. Mater. 16(2), 182–194 (2017).
[Crossref] [PubMed]

Hillenbrand, R.

P. Li, I. Dolado, F. J. Alfaro-Mozaz, A. Y. Nikitin, F. Casanova, L. E. Hueso, S. Vélez, and R. Hillenbrand, “Optical nanoimaging of hyperbolic surface polaritons at the edges of van der Waals materials,” Nano Lett. 17(1), 228–235 (2017).
[Crossref] [PubMed]

A. Y. Nikitin, E. Yoxall, M. Schnell, S. Vélez, I. Dolado, P. Alonso-Gonzalez, F. Casanova, L. E. Hueso, and R. Hillenbrand, “Nanofocusing of hyperbolic phonon polaritons in a tapered boron nitride slab,” ACS Photonics 3(6), 924–929 (2016).
[Crossref]

E. Yoxall, M. Schnell, A. Y. Nikitin, O. Txoperena, A. Woessner, M. B. Lundeberg, F. Casanova, L. E. Hueso, F. H. L. Koppens, and R. Hillenbrand, “Direct observation of ultraslow hyperbolic polariton propagation with negative phase velocity,” Nat. Photonics 9(10), 674–678 (2015).
[Crossref]

A. Woessner, M. B. Lundeberg, Y. Gao, A. Principi, P. Alonso-González, M. Carrega, K. Watanabe, T. Taniguchi, G. Vignale, M. Polini, J. Hone, R. Hillenbrand, and F. H. L. Koppens, “Highly confined low-loss plasmons in graphene-boron nitride heterostructures,” Nat. Mater. 14(4), 421–425 (2015).
[Crossref] [PubMed]

R. Hillenbrand, T. Taubner, and F. Keilmann, “Phonon-enhanced light matter interaction at the nanometre scale,” Nature 418(6894), 159–162 (2002).
[Crossref] [PubMed]

Ho, K.

L. Gilburd, K. S. Kim, K. Ho, D. Trajanoski, A. Maiti, D. Halverson, S. de Beer, and G. C. Walker, “Hexagonal boron nitride self-launches hyperbolic phonon polaritons,” J. Phys. Chem. Lett. 8(10), 2158–2162 (2017).
[Crossref] [PubMed]

Hoffman, T.

D. G. Baranov, J. H. Edgar, T. Hoffman, N. Bassim, and J. D. Caldwell, “Perfect interferenceless absorption at infrared frequencies by a van der Waals crystal,” Phys. Rev. B 92(20), 201405 (2015).
[Crossref]

Hone, J.

A. Woessner, M. B. Lundeberg, Y. Gao, A. Principi, P. Alonso-González, M. Carrega, K. Watanabe, T. Taniguchi, G. Vignale, M. Polini, J. Hone, R. Hillenbrand, and F. H. L. Koppens, “Highly confined low-loss plasmons in graphene-boron nitride heterostructures,” Nat. Mater. 14(4), 421–425 (2015).
[Crossref] [PubMed]

Hong, M.

J. D. Caldwell, A. V. Kretinin, Y. Chen, V. Giannini, M. M. Fogler, Y. Francescato, C. T. Ellis, J. G. Tischler, C. R. Woods, A. J. Giles, M. Hong, K. Watanabe, T. Taniguchi, S. A. Maier, and K. S. Novoselov, “Sub-diffractional volume-confined polaritons in the natural hyperbolic material hexagonal boron nitride,” Nat. Commun. 5, 5221 (2014).
[Crossref] [PubMed]

Hueso, L. E.

P. Li, I. Dolado, F. J. Alfaro-Mozaz, A. Y. Nikitin, F. Casanova, L. E. Hueso, S. Vélez, and R. Hillenbrand, “Optical nanoimaging of hyperbolic surface polaritons at the edges of van der Waals materials,” Nano Lett. 17(1), 228–235 (2017).
[Crossref] [PubMed]

A. Y. Nikitin, E. Yoxall, M. Schnell, S. Vélez, I. Dolado, P. Alonso-Gonzalez, F. Casanova, L. E. Hueso, and R. Hillenbrand, “Nanofocusing of hyperbolic phonon polaritons in a tapered boron nitride slab,” ACS Photonics 3(6), 924–929 (2016).
[Crossref]

E. Yoxall, M. Schnell, A. Y. Nikitin, O. Txoperena, A. Woessner, M. B. Lundeberg, F. Casanova, L. E. Hueso, F. H. L. Koppens, and R. Hillenbrand, “Direct observation of ultraslow hyperbolic polariton propagation with negative phase velocity,” Nat. Photonics 9(10), 674–678 (2015).
[Crossref]

Jahangir, I.

A. A. Sayem, M. M. Rahman, M. R. C. Mahdy, I. Jahangir, and M. S. Rahman, “Negative refraction with superior transmission in graphene-hexagonal boron nitride (hBN) multilayer hyper crystal,” Sci. Rep. 6(1), 25442 (2016).
[Crossref] [PubMed]

Jang, M. S.

V. W. Brar, M. S. Jang, M. Sherrott, S. Kim, J. J. Lopez, L. B. Kim, M. Choi, and H. Atwater, “Hybrid surface-phonon-plasmon polariton modes in graphene/monolayer h-BN heterostructures,” Nano Lett. 14(7), 3876–3880 (2014).
[Crossref] [PubMed]

Janssen, G. C. A. M.

S. Dai, Q. Ma, M. K. Liu, T. Andersen, Z. Fei, M. D. Goldflam, M. Wagner, K. Watanabe, T. Taniguchi, M. Thiemens, F. Keilmann, G. C. A. M. Janssen, S.-E. Zhu, P. Jarillo-Herrero, M. M. Fogler, and D. N. Basov, “Graphene on hexagonal boron nitride as a tunable hyperbolic metamaterial,” Nat. Nanotechnol. 10(8), 682–686 (2015).
[Crossref] [PubMed]

Jarillo-Herrero, P.

S. Dai, Q. Ma, M. K. Liu, T. Andersen, Z. Fei, M. D. Goldflam, M. Wagner, K. Watanabe, T. Taniguchi, M. Thiemens, F. Keilmann, G. C. A. M. Janssen, S.-E. Zhu, P. Jarillo-Herrero, M. M. Fogler, and D. N. Basov, “Graphene on hexagonal boron nitride as a tunable hyperbolic metamaterial,” Nat. Nanotechnol. 10(8), 682–686 (2015).
[Crossref] [PubMed]

S. Dai, Q. Ma, T. Andersen, A. S. Mcleod, Z. Fei, M. K. Liu, M. Wagner, K. Watanabe, T. Taniguchi, M. Thiemens, F. Keilmann, P. Jarillo-Herrero, M. M. Fogler, and D. N. Basov, “Subdiffractional focusing and guiding of polaritonic rays in a natural hyperbolic material,” Nat. Commun. 6, 6963 (2015).
[Crossref] [PubMed]

S. Dai, Z. Fei, Q. Ma, A. S. Rodin, M. Wagner, A. S. McLeod, M. K. Liu, W. Gannett, W. Regan, K. Watanabe, T. Taniguchi, M. Thiemens, G. Dominguez, A. H. C. Neto, A. Zettl, F. Keilmann, P. Jarillo-Herrero, M. M. Fogler, and D. N. Basov, “Tunable phonon polaritons in atomically thin van der waals crystals of boron nitride,” Science 343(6175), 1125–1129 (2014).
[Crossref] [PubMed]

Jia, Y.

Y. Jia, H. Zhao, Q. Guo, X. Wang, H. Wang, and F. Xia, “Tunable plasmon-phonon polaritons in layered graphene–hexagonal boron nitride heterostructures,” ACS Photonics 2(7), 907–912 (2015).
[Crossref]

Jian, S.

Jiang, J. H.

X. G. Xu, J. H. Jiang, L. Gilburd, R. G. Rensing, K. S. Burch, C. Zhi, Y. Bando, D. Golberg, and G. C. Walker, “Mid-infrared polaritonic coupling between boron nitride nanotubes and graphene,” ACS Nano 8(11), 11305–11312 (2014).
[Crossref] [PubMed]

X. G. Xu, B. G. Ghamsari, J. H. Jiang, L. Gilburd, G. O. Andreev, C. Zhi, Y. Bando, D. Golberg, P. Berini, and G. C. Walker, “One-dimensional surface phonon polaritons in boron nitride nanotubes,” Nat. Commun. 5, 4782 (2014).
[Crossref] [PubMed]

Jiang, L.

Jin, C.

Z. Shi, H. A. Bechtel, S. Berweger, Y. Sun, B. Zeng, C. Jin, H. Chang, M. C. Martin, M. B. Raschke, and F. Wang, “Amplitude- and phase-resolved nanospectral imaging of phonon polaritons in hexagonal boron nitride,” ACS Photonics 2(7), 790–796 (2015).
[Crossref]

Keilmann, F.

S. Dai, Q. Ma, T. Andersen, A. S. Mcleod, Z. Fei, M. K. Liu, M. Wagner, K. Watanabe, T. Taniguchi, M. Thiemens, F. Keilmann, P. Jarillo-Herrero, M. M. Fogler, and D. N. Basov, “Subdiffractional focusing and guiding of polaritonic rays in a natural hyperbolic material,” Nat. Commun. 6, 6963 (2015).
[Crossref] [PubMed]

S. Dai, Q. Ma, M. K. Liu, T. Andersen, Z. Fei, M. D. Goldflam, M. Wagner, K. Watanabe, T. Taniguchi, M. Thiemens, F. Keilmann, G. C. A. M. Janssen, S.-E. Zhu, P. Jarillo-Herrero, M. M. Fogler, and D. N. Basov, “Graphene on hexagonal boron nitride as a tunable hyperbolic metamaterial,” Nat. Nanotechnol. 10(8), 682–686 (2015).
[Crossref] [PubMed]

S. Dai, Z. Fei, Q. Ma, A. S. Rodin, M. Wagner, A. S. McLeod, M. K. Liu, W. Gannett, W. Regan, K. Watanabe, T. Taniguchi, M. Thiemens, G. Dominguez, A. H. C. Neto, A. Zettl, F. Keilmann, P. Jarillo-Herrero, M. M. Fogler, and D. N. Basov, “Tunable phonon polaritons in atomically thin van der waals crystals of boron nitride,” Science 343(6175), 1125–1129 (2014).
[Crossref] [PubMed]

R. Hillenbrand, T. Taubner, and F. Keilmann, “Phonon-enhanced light matter interaction at the nanometre scale,” Nature 418(6894), 159–162 (2002).
[Crossref] [PubMed]

Kildishev, A. V.

Y. C. Chang, A. V. Kildishev, E. E. Narimanov, and T. B. Norris, “Metasurface perfect absorber based on guided resonance of a photonic hypercrystal,” Phys. Rev. B 94(15), 155430 (2016).
[Crossref]

Kim, K. S.

L. Gilburd, K. S. Kim, K. Ho, D. Trajanoski, A. Maiti, D. Halverson, S. de Beer, and G. C. Walker, “Hexagonal boron nitride self-launches hyperbolic phonon polaritons,” J. Phys. Chem. Lett. 8(10), 2158–2162 (2017).
[Crossref] [PubMed]

Kim, L. B.

V. W. Brar, M. S. Jang, M. Sherrott, S. Kim, J. J. Lopez, L. B. Kim, M. Choi, and H. Atwater, “Hybrid surface-phonon-plasmon polariton modes in graphene/monolayer h-BN heterostructures,” Nano Lett. 14(7), 3876–3880 (2014).
[Crossref] [PubMed]

Kim, S.

V. W. Brar, M. S. Jang, M. Sherrott, S. Kim, J. J. Lopez, L. B. Kim, M. Choi, and H. Atwater, “Hybrid surface-phonon-plasmon polariton modes in graphene/monolayer h-BN heterostructures,” Nano Lett. 14(7), 3876–3880 (2014).
[Crossref] [PubMed]

Koppens, F.

T. Low, A. Chaves, J. D. Caldwell, A. Kumar, N. X. Fang, P. Avouris, T. F. Heinz, F. Guinea, L. Martin-Moreno, and F. Koppens, “Polaritons in layered two-dimensional materials,” Nat. Mater. 16(2), 182–194 (2017).
[Crossref] [PubMed]

Koppens, F. H. L.

A. Woessner, M. B. Lundeberg, Y. Gao, A. Principi, P. Alonso-González, M. Carrega, K. Watanabe, T. Taniguchi, G. Vignale, M. Polini, J. Hone, R. Hillenbrand, and F. H. L. Koppens, “Highly confined low-loss plasmons in graphene-boron nitride heterostructures,” Nat. Mater. 14(4), 421–425 (2015).
[Crossref] [PubMed]

E. Yoxall, M. Schnell, A. Y. Nikitin, O. Txoperena, A. Woessner, M. B. Lundeberg, F. Casanova, L. E. Hueso, F. H. L. Koppens, and R. Hillenbrand, “Direct observation of ultraslow hyperbolic polariton propagation with negative phase velocity,” Nat. Photonics 9(10), 674–678 (2015).
[Crossref]

Kotov, L. N.

D. A. Kuzmin, I. V. Bychkov, V. G. Shavrov, and L. N. Kotov, “Transverse-electric plasmonic modes of cylindrical graphene-based waveguide at near-infrared and visible frequencies,” Sci. Rep. 6(1), 26915 (2016).
[Crossref] [PubMed]

Kretinin, A. V.

P. Li, M. Lewin, A. V. Kretinin, J. D. Caldwell, K. S. Novoselov, T. Taniguchi, K. Watanabe, F. Gaussmann, and T. Taubner, “Hyperbolic phonon-polaritons in boron nitride for near-field optical imaging and focusing,” Nat. Commun. 6, 7507 (2015).
[Crossref] [PubMed]

J. D. Caldwell, A. V. Kretinin, Y. Chen, V. Giannini, M. M. Fogler, Y. Francescato, C. T. Ellis, J. G. Tischler, C. R. Woods, A. J. Giles, M. Hong, K. Watanabe, T. Taniguchi, S. A. Maier, and K. S. Novoselov, “Sub-diffractional volume-confined polaritons in the natural hyperbolic material hexagonal boron nitride,” Nat. Commun. 5, 5221 (2014).
[Crossref] [PubMed]

Kumar, A.

T. Low, A. Chaves, J. D. Caldwell, A. Kumar, N. X. Fang, P. Avouris, T. F. Heinz, F. Guinea, L. Martin-Moreno, and F. Koppens, “Polaritons in layered two-dimensional materials,” Nat. Mater. 16(2), 182–194 (2017).
[Crossref] [PubMed]

A. Kumar, T. Low, K. H. Fung, P. Avouris, and N. X. Fang, “Tunable light-matter interaction and the role of hyperbolicity in graphene-hBN system,” Nano Lett. 15(5), 3172–3180 (2015).
[Crossref] [PubMed]

Kuzmin, D. A.

D. A. Kuzmin, I. V. Bychkov, V. G. Shavrov, and L. N. Kotov, “Transverse-electric plasmonic modes of cylindrical graphene-based waveguide at near-infrared and visible frequencies,” Sci. Rep. 6(1), 26915 (2016).
[Crossref] [PubMed]

Lail, B. A.

Levitov, L. S.

A. Tomadin, A. Principi, J. C. W. Song, L. S. Levitov, and M. Polini, “Accessing phonon polaritons in hyperbolic crystals by angle-resolved photoemission spectroscopy,” Phys. Rev. Lett. 115(8), 087401 (2015).
[Crossref] [PubMed]

Lewin, M.

P. Li, M. Lewin, A. V. Kretinin, J. D. Caldwell, K. S. Novoselov, T. Taniguchi, K. Watanabe, F. Gaussmann, and T. Taubner, “Hyperbolic phonon-polaritons in boron nitride for near-field optical imaging and focusing,” Nat. Commun. 6, 7507 (2015).
[Crossref] [PubMed]

Li, H.

Li, P.

P. Li, I. Dolado, F. J. Alfaro-Mozaz, A. Y. Nikitin, F. Casanova, L. E. Hueso, S. Vélez, and R. Hillenbrand, “Optical nanoimaging of hyperbolic surface polaritons at the edges of van der Waals materials,” Nano Lett. 17(1), 228–235 (2017).
[Crossref] [PubMed]

P. Li, M. Lewin, A. V. Kretinin, J. D. Caldwell, K. S. Novoselov, T. Taniguchi, K. Watanabe, F. Gaussmann, and T. Taubner, “Hyperbolic phonon-polaritons in boron nitride for near-field optical imaging and focusing,” Nat. Commun. 6, 7507 (2015).
[Crossref] [PubMed]

Liu, M. K.

S. Dai, Q. Ma, M. K. Liu, T. Andersen, Z. Fei, M. D. Goldflam, M. Wagner, K. Watanabe, T. Taniguchi, M. Thiemens, F. Keilmann, G. C. A. M. Janssen, S.-E. Zhu, P. Jarillo-Herrero, M. M. Fogler, and D. N. Basov, “Graphene on hexagonal boron nitride as a tunable hyperbolic metamaterial,” Nat. Nanotechnol. 10(8), 682–686 (2015).
[Crossref] [PubMed]

S. Dai, Q. Ma, T. Andersen, A. S. Mcleod, Z. Fei, M. K. Liu, M. Wagner, K. Watanabe, T. Taniguchi, M. Thiemens, F. Keilmann, P. Jarillo-Herrero, M. M. Fogler, and D. N. Basov, “Subdiffractional focusing and guiding of polaritonic rays in a natural hyperbolic material,” Nat. Commun. 6, 6963 (2015).
[Crossref] [PubMed]

S. Dai, Z. Fei, Q. Ma, A. S. Rodin, M. Wagner, A. S. McLeod, M. K. Liu, W. Gannett, W. Regan, K. Watanabe, T. Taniguchi, M. Thiemens, G. Dominguez, A. H. C. Neto, A. Zettl, F. Keilmann, P. Jarillo-Herrero, M. M. Fogler, and D. N. Basov, “Tunable phonon polaritons in atomically thin van der waals crystals of boron nitride,” Science 343(6175), 1125–1129 (2014).
[Crossref] [PubMed]

Lopez, J. J.

V. W. Brar, M. S. Jang, M. Sherrott, S. Kim, J. J. Lopez, L. B. Kim, M. Choi, and H. Atwater, “Hybrid surface-phonon-plasmon polariton modes in graphene/monolayer h-BN heterostructures,” Nano Lett. 14(7), 3876–3880 (2014).
[Crossref] [PubMed]

Low, T.

T. Low, A. Chaves, J. D. Caldwell, A. Kumar, N. X. Fang, P. Avouris, T. F. Heinz, F. Guinea, L. Martin-Moreno, and F. Koppens, “Polaritons in layered two-dimensional materials,” Nat. Mater. 16(2), 182–194 (2017).
[Crossref] [PubMed]

A. Kumar, T. Low, K. H. Fung, P. Avouris, and N. X. Fang, “Tunable light-matter interaction and the role of hyperbolicity in graphene-hBN system,” Nano Lett. 15(5), 3172–3180 (2015).
[Crossref] [PubMed]

Lundeberg, M. B.

A. Woessner, M. B. Lundeberg, Y. Gao, A. Principi, P. Alonso-González, M. Carrega, K. Watanabe, T. Taniguchi, G. Vignale, M. Polini, J. Hone, R. Hillenbrand, and F. H. L. Koppens, “Highly confined low-loss plasmons in graphene-boron nitride heterostructures,” Nat. Mater. 14(4), 421–425 (2015).
[Crossref] [PubMed]

E. Yoxall, M. Schnell, A. Y. Nikitin, O. Txoperena, A. Woessner, M. B. Lundeberg, F. Casanova, L. E. Hueso, F. H. L. Koppens, and R. Hillenbrand, “Direct observation of ultraslow hyperbolic polariton propagation with negative phase velocity,” Nat. Photonics 9(10), 674–678 (2015).
[Crossref]

Ma, Q.

S. Dai, Q. Ma, M. K. Liu, T. Andersen, Z. Fei, M. D. Goldflam, M. Wagner, K. Watanabe, T. Taniguchi, M. Thiemens, F. Keilmann, G. C. A. M. Janssen, S.-E. Zhu, P. Jarillo-Herrero, M. M. Fogler, and D. N. Basov, “Graphene on hexagonal boron nitride as a tunable hyperbolic metamaterial,” Nat. Nanotechnol. 10(8), 682–686 (2015).
[Crossref] [PubMed]

S. Dai, Q. Ma, T. Andersen, A. S. Mcleod, Z. Fei, M. K. Liu, M. Wagner, K. Watanabe, T. Taniguchi, M. Thiemens, F. Keilmann, P. Jarillo-Herrero, M. M. Fogler, and D. N. Basov, “Subdiffractional focusing and guiding of polaritonic rays in a natural hyperbolic material,” Nat. Commun. 6, 6963 (2015).
[Crossref] [PubMed]

S. Dai, Z. Fei, Q. Ma, A. S. Rodin, M. Wagner, A. S. McLeod, M. K. Liu, W. Gannett, W. Regan, K. Watanabe, T. Taniguchi, M. Thiemens, G. Dominguez, A. H. C. Neto, A. Zettl, F. Keilmann, P. Jarillo-Herrero, M. M. Fogler, and D. N. Basov, “Tunable phonon polaritons in atomically thin van der waals crystals of boron nitride,” Science 343(6175), 1125–1129 (2014).
[Crossref] [PubMed]

Mahdy, M. R. C.

A. A. Sayem, M. M. Rahman, M. R. C. Mahdy, I. Jahangir, and M. S. Rahman, “Negative refraction with superior transmission in graphene-hexagonal boron nitride (hBN) multilayer hyper crystal,” Sci. Rep. 6(1), 25442 (2016).
[Crossref] [PubMed]

Maier, S. A.

J. D. Caldwell, A. V. Kretinin, Y. Chen, V. Giannini, M. M. Fogler, Y. Francescato, C. T. Ellis, J. G. Tischler, C. R. Woods, A. J. Giles, M. Hong, K. Watanabe, T. Taniguchi, S. A. Maier, and K. S. Novoselov, “Sub-diffractional volume-confined polaritons in the natural hyperbolic material hexagonal boron nitride,” Nat. Commun. 5, 5221 (2014).
[Crossref] [PubMed]

Maiti, A.

L. Gilburd, K. S. Kim, K. Ho, D. Trajanoski, A. Maiti, D. Halverson, S. de Beer, and G. C. Walker, “Hexagonal boron nitride self-launches hyperbolic phonon polaritons,” J. Phys. Chem. Lett. 8(10), 2158–2162 (2017).
[Crossref] [PubMed]

Martin, M. C.

Z. Shi, H. A. Bechtel, S. Berweger, Y. Sun, B. Zeng, C. Jin, H. Chang, M. C. Martin, M. B. Raschke, and F. Wang, “Amplitude- and phase-resolved nanospectral imaging of phonon polaritons in hexagonal boron nitride,” ACS Photonics 2(7), 790–796 (2015).
[Crossref]

Martin-Moreno, L.

T. Low, A. Chaves, J. D. Caldwell, A. Kumar, N. X. Fang, P. Avouris, T. F. Heinz, F. Guinea, L. Martin-Moreno, and F. Koppens, “Polaritons in layered two-dimensional materials,” Nat. Mater. 16(2), 182–194 (2017).
[Crossref] [PubMed]

Mcleod, A. S.

S. Dai, Q. Ma, T. Andersen, A. S. Mcleod, Z. Fei, M. K. Liu, M. Wagner, K. Watanabe, T. Taniguchi, M. Thiemens, F. Keilmann, P. Jarillo-Herrero, M. M. Fogler, and D. N. Basov, “Subdiffractional focusing and guiding of polaritonic rays in a natural hyperbolic material,” Nat. Commun. 6, 6963 (2015).
[Crossref] [PubMed]

S. Dai, Z. Fei, Q. Ma, A. S. Rodin, M. Wagner, A. S. McLeod, M. K. Liu, W. Gannett, W. Regan, K. Watanabe, T. Taniguchi, M. Thiemens, G. Dominguez, A. H. C. Neto, A. Zettl, F. Keilmann, P. Jarillo-Herrero, M. M. Fogler, and D. N. Basov, “Tunable phonon polaritons in atomically thin van der waals crystals of boron nitride,” Science 343(6175), 1125–1129 (2014).
[Crossref] [PubMed]

Narimanov, E. E.

Y. C. Chang, A. V. Kildishev, E. E. Narimanov, and T. B. Norris, “Metasurface perfect absorber based on guided resonance of a photonic hypercrystal,” Phys. Rev. B 94(15), 155430 (2016).
[Crossref]

Neto, A. H. C.

S. Dai, Z. Fei, Q. Ma, A. S. Rodin, M. Wagner, A. S. McLeod, M. K. Liu, W. Gannett, W. Regan, K. Watanabe, T. Taniguchi, M. Thiemens, G. Dominguez, A. H. C. Neto, A. Zettl, F. Keilmann, P. Jarillo-Herrero, M. M. Fogler, and D. N. Basov, “Tunable phonon polaritons in atomically thin van der waals crystals of boron nitride,” Science 343(6175), 1125–1129 (2014).
[Crossref] [PubMed]

Nikitin, A. Y.

P. Li, I. Dolado, F. J. Alfaro-Mozaz, A. Y. Nikitin, F. Casanova, L. E. Hueso, S. Vélez, and R. Hillenbrand, “Optical nanoimaging of hyperbolic surface polaritons at the edges of van der Waals materials,” Nano Lett. 17(1), 228–235 (2017).
[Crossref] [PubMed]

A. Y. Nikitin, E. Yoxall, M. Schnell, S. Vélez, I. Dolado, P. Alonso-Gonzalez, F. Casanova, L. E. Hueso, and R. Hillenbrand, “Nanofocusing of hyperbolic phonon polaritons in a tapered boron nitride slab,” ACS Photonics 3(6), 924–929 (2016).
[Crossref]

E. Yoxall, M. Schnell, A. Y. Nikitin, O. Txoperena, A. Woessner, M. B. Lundeberg, F. Casanova, L. E. Hueso, F. H. L. Koppens, and R. Hillenbrand, “Direct observation of ultraslow hyperbolic polariton propagation with negative phase velocity,” Nat. Photonics 9(10), 674–678 (2015).
[Crossref]

Norris, T. B.

Y. C. Chang, A. V. Kildishev, E. E. Narimanov, and T. B. Norris, “Metasurface perfect absorber based on guided resonance of a photonic hypercrystal,” Phys. Rev. B 94(15), 155430 (2016).
[Crossref]

Novoselov, K. S.

P. Li, M. Lewin, A. V. Kretinin, J. D. Caldwell, K. S. Novoselov, T. Taniguchi, K. Watanabe, F. Gaussmann, and T. Taubner, “Hyperbolic phonon-polaritons in boron nitride for near-field optical imaging and focusing,” Nat. Commun. 6, 7507 (2015).
[Crossref] [PubMed]

J. D. Caldwell, A. V. Kretinin, Y. Chen, V. Giannini, M. M. Fogler, Y. Francescato, C. T. Ellis, J. G. Tischler, C. R. Woods, A. J. Giles, M. Hong, K. Watanabe, T. Taniguchi, S. A. Maier, and K. S. Novoselov, “Sub-diffractional volume-confined polaritons in the natural hyperbolic material hexagonal boron nitride,” Nat. Commun. 5, 5221 (2014).
[Crossref] [PubMed]

Owrutsky, J. C.

J. D. Caldwell, I. Vurgaftman, J. G. Tischler, O. J. Glembocki, J. C. Owrutsky, and T. L. Reinecke, “Atomic-scale photonic hybrids for mid-infrared and terahertz nanophotonics,” Nat. Nanotechnol. 11(1), 9–15 (2016).
[Crossref] [PubMed]

Ozbay, E.

Peng, R. W.

Polini, M.

A. Woessner, M. B. Lundeberg, Y. Gao, A. Principi, P. Alonso-González, M. Carrega, K. Watanabe, T. Taniguchi, G. Vignale, M. Polini, J. Hone, R. Hillenbrand, and F. H. L. Koppens, “Highly confined low-loss plasmons in graphene-boron nitride heterostructures,” Nat. Mater. 14(4), 421–425 (2015).
[Crossref] [PubMed]

A. Tomadin, A. Principi, J. C. W. Song, L. S. Levitov, and M. Polini, “Accessing phonon polaritons in hyperbolic crystals by angle-resolved photoemission spectroscopy,” Phys. Rev. Lett. 115(8), 087401 (2015).
[Crossref] [PubMed]

Premkumar, N.

Principi, A.

A. Tomadin, A. Principi, J. C. W. Song, L. S. Levitov, and M. Polini, “Accessing phonon polaritons in hyperbolic crystals by angle-resolved photoemission spectroscopy,” Phys. Rev. Lett. 115(8), 087401 (2015).
[Crossref] [PubMed]

A. Woessner, M. B. Lundeberg, Y. Gao, A. Principi, P. Alonso-González, M. Carrega, K. Watanabe, T. Taniguchi, G. Vignale, M. Polini, J. Hone, R. Hillenbrand, and F. H. L. Koppens, “Highly confined low-loss plasmons in graphene-boron nitride heterostructures,” Nat. Mater. 14(4), 421–425 (2015).
[Crossref] [PubMed]

Rahman, M. M.

A. A. Sayem, M. M. Rahman, M. R. C. Mahdy, I. Jahangir, and M. S. Rahman, “Negative refraction with superior transmission in graphene-hexagonal boron nitride (hBN) multilayer hyper crystal,” Sci. Rep. 6(1), 25442 (2016).
[Crossref] [PubMed]

Rahman, M. S.

A. A. Sayem, M. M. Rahman, M. R. C. Mahdy, I. Jahangir, and M. S. Rahman, “Negative refraction with superior transmission in graphene-hexagonal boron nitride (hBN) multilayer hyper crystal,” Sci. Rep. 6(1), 25442 (2016).
[Crossref] [PubMed]

Raschke, M. B.

Z. Shi, H. A. Bechtel, S. Berweger, Y. Sun, B. Zeng, C. Jin, H. Chang, M. C. Martin, M. B. Raschke, and F. Wang, “Amplitude- and phase-resolved nanospectral imaging of phonon polaritons in hexagonal boron nitride,” ACS Photonics 2(7), 790–796 (2015).
[Crossref]

Regan, W.

S. Dai, Z. Fei, Q. Ma, A. S. Rodin, M. Wagner, A. S. McLeod, M. K. Liu, W. Gannett, W. Regan, K. Watanabe, T. Taniguchi, M. Thiemens, G. Dominguez, A. H. C. Neto, A. Zettl, F. Keilmann, P. Jarillo-Herrero, M. M. Fogler, and D. N. Basov, “Tunable phonon polaritons in atomically thin van der waals crystals of boron nitride,” Science 343(6175), 1125–1129 (2014).
[Crossref] [PubMed]

Reinecke, T. L.

J. D. Caldwell, I. Vurgaftman, J. G. Tischler, O. J. Glembocki, J. C. Owrutsky, and T. L. Reinecke, “Atomic-scale photonic hybrids for mid-infrared and terahertz nanophotonics,” Nat. Nanotechnol. 11(1), 9–15 (2016).
[Crossref] [PubMed]

Ren, G.

Rensing, R. G.

X. G. Xu, J. H. Jiang, L. Gilburd, R. G. Rensing, K. S. Burch, C. Zhi, Y. Bando, D. Golberg, and G. C. Walker, “Mid-infrared polaritonic coupling between boron nitride nanotubes and graphene,” ACS Nano 8(11), 11305–11312 (2014).
[Crossref] [PubMed]

Rodin, A. S.

S. Dai, Z. Fei, Q. Ma, A. S. Rodin, M. Wagner, A. S. McLeod, M. K. Liu, W. Gannett, W. Regan, K. Watanabe, T. Taniguchi, M. Thiemens, G. Dominguez, A. H. C. Neto, A. Zettl, F. Keilmann, P. Jarillo-Herrero, M. M. Fogler, and D. N. Basov, “Tunable phonon polaritons in atomically thin van der waals crystals of boron nitride,” Science 343(6175), 1125–1129 (2014).
[Crossref] [PubMed]

Sayem, A. A.

A. A. Sayem, M. M. Rahman, M. R. C. Mahdy, I. Jahangir, and M. S. Rahman, “Negative refraction with superior transmission in graphene-hexagonal boron nitride (hBN) multilayer hyper crystal,” Sci. Rep. 6(1), 25442 (2016).
[Crossref] [PubMed]

Schnell, M.

A. Y. Nikitin, E. Yoxall, M. Schnell, S. Vélez, I. Dolado, P. Alonso-Gonzalez, F. Casanova, L. E. Hueso, and R. Hillenbrand, “Nanofocusing of hyperbolic phonon polaritons in a tapered boron nitride slab,” ACS Photonics 3(6), 924–929 (2016).
[Crossref]

E. Yoxall, M. Schnell, A. Y. Nikitin, O. Txoperena, A. Woessner, M. B. Lundeberg, F. Casanova, L. E. Hueso, F. H. L. Koppens, and R. Hillenbrand, “Direct observation of ultraslow hyperbolic polariton propagation with negative phase velocity,” Nat. Photonics 9(10), 674–678 (2015).
[Crossref]

Shavrov, V. G.

D. A. Kuzmin, I. V. Bychkov, V. G. Shavrov, and L. N. Kotov, “Transverse-electric plasmonic modes of cylindrical graphene-based waveguide at near-infrared and visible frequencies,” Sci. Rep. 6(1), 26915 (2016).
[Crossref] [PubMed]

Sherrott, M.

V. W. Brar, M. S. Jang, M. Sherrott, S. Kim, J. J. Lopez, L. B. Kim, M. Choi, and H. Atwater, “Hybrid surface-phonon-plasmon polariton modes in graphene/monolayer h-BN heterostructures,” Nano Lett. 14(7), 3876–3880 (2014).
[Crossref] [PubMed]

Shi, K.

K. Shi, F. Bao, and S. He, “Enhanced near-field thermal radiation based on multilayer graphene-hBN heterostructures,” ACS Photonics 4(4), 971–978 (2017).
[Crossref]

Shi, Z.

Z. Shi, H. A. Bechtel, S. Berweger, Y. Sun, B. Zeng, C. Jin, H. Chang, M. C. Martin, M. B. Raschke, and F. Wang, “Amplitude- and phase-resolved nanospectral imaging of phonon polaritons in hexagonal boron nitride,” ACS Photonics 2(7), 790–796 (2015).
[Crossref]

Song, J. C. W.

A. Tomadin, A. Principi, J. C. W. Song, L. S. Levitov, and M. Polini, “Accessing phonon polaritons in hyperbolic crystals by angle-resolved photoemission spectroscopy,” Phys. Rev. Lett. 115(8), 087401 (2015).
[Crossref] [PubMed]

Sun, Y.

Z. Shi, H. A. Bechtel, S. Berweger, Y. Sun, B. Zeng, C. Jin, H. Chang, M. C. Martin, M. B. Raschke, and F. Wang, “Amplitude- and phase-resolved nanospectral imaging of phonon polaritons in hexagonal boron nitride,” ACS Photonics 2(7), 790–796 (2015).
[Crossref]

Taniguchi, T.

S. Dai, Q. Ma, T. Andersen, A. S. Mcleod, Z. Fei, M. K. Liu, M. Wagner, K. Watanabe, T. Taniguchi, M. Thiemens, F. Keilmann, P. Jarillo-Herrero, M. M. Fogler, and D. N. Basov, “Subdiffractional focusing and guiding of polaritonic rays in a natural hyperbolic material,” Nat. Commun. 6, 6963 (2015).
[Crossref] [PubMed]

P. Li, M. Lewin, A. V. Kretinin, J. D. Caldwell, K. S. Novoselov, T. Taniguchi, K. Watanabe, F. Gaussmann, and T. Taubner, “Hyperbolic phonon-polaritons in boron nitride for near-field optical imaging and focusing,” Nat. Commun. 6, 7507 (2015).
[Crossref] [PubMed]

S. Dai, Q. Ma, M. K. Liu, T. Andersen, Z. Fei, M. D. Goldflam, M. Wagner, K. Watanabe, T. Taniguchi, M. Thiemens, F. Keilmann, G. C. A. M. Janssen, S.-E. Zhu, P. Jarillo-Herrero, M. M. Fogler, and D. N. Basov, “Graphene on hexagonal boron nitride as a tunable hyperbolic metamaterial,” Nat. Nanotechnol. 10(8), 682–686 (2015).
[Crossref] [PubMed]

A. Woessner, M. B. Lundeberg, Y. Gao, A. Principi, P. Alonso-González, M. Carrega, K. Watanabe, T. Taniguchi, G. Vignale, M. Polini, J. Hone, R. Hillenbrand, and F. H. L. Koppens, “Highly confined low-loss plasmons in graphene-boron nitride heterostructures,” Nat. Mater. 14(4), 421–425 (2015).
[Crossref] [PubMed]

J. D. Caldwell, A. V. Kretinin, Y. Chen, V. Giannini, M. M. Fogler, Y. Francescato, C. T. Ellis, J. G. Tischler, C. R. Woods, A. J. Giles, M. Hong, K. Watanabe, T. Taniguchi, S. A. Maier, and K. S. Novoselov, “Sub-diffractional volume-confined polaritons in the natural hyperbolic material hexagonal boron nitride,” Nat. Commun. 5, 5221 (2014).
[Crossref] [PubMed]

S. Dai, Z. Fei, Q. Ma, A. S. Rodin, M. Wagner, A. S. McLeod, M. K. Liu, W. Gannett, W. Regan, K. Watanabe, T. Taniguchi, M. Thiemens, G. Dominguez, A. H. C. Neto, A. Zettl, F. Keilmann, P. Jarillo-Herrero, M. M. Fogler, and D. N. Basov, “Tunable phonon polaritons in atomically thin van der waals crystals of boron nitride,” Science 343(6175), 1125–1129 (2014).
[Crossref] [PubMed]

Taubner, T.

P. Li, M. Lewin, A. V. Kretinin, J. D. Caldwell, K. S. Novoselov, T. Taniguchi, K. Watanabe, F. Gaussmann, and T. Taubner, “Hyperbolic phonon-polaritons in boron nitride for near-field optical imaging and focusing,” Nat. Commun. 6, 7507 (2015).
[Crossref] [PubMed]

R. Hillenbrand, T. Taubner, and F. Keilmann, “Phonon-enhanced light matter interaction at the nanometre scale,” Nature 418(6894), 159–162 (2002).
[Crossref] [PubMed]

Thiemens, M.

S. Dai, Q. Ma, T. Andersen, A. S. Mcleod, Z. Fei, M. K. Liu, M. Wagner, K. Watanabe, T. Taniguchi, M. Thiemens, F. Keilmann, P. Jarillo-Herrero, M. M. Fogler, and D. N. Basov, “Subdiffractional focusing and guiding of polaritonic rays in a natural hyperbolic material,” Nat. Commun. 6, 6963 (2015).
[Crossref] [PubMed]

S. Dai, Q. Ma, M. K. Liu, T. Andersen, Z. Fei, M. D. Goldflam, M. Wagner, K. Watanabe, T. Taniguchi, M. Thiemens, F. Keilmann, G. C. A. M. Janssen, S.-E. Zhu, P. Jarillo-Herrero, M. M. Fogler, and D. N. Basov, “Graphene on hexagonal boron nitride as a tunable hyperbolic metamaterial,” Nat. Nanotechnol. 10(8), 682–686 (2015).
[Crossref] [PubMed]

S. Dai, Z. Fei, Q. Ma, A. S. Rodin, M. Wagner, A. S. McLeod, M. K. Liu, W. Gannett, W. Regan, K. Watanabe, T. Taniguchi, M. Thiemens, G. Dominguez, A. H. C. Neto, A. Zettl, F. Keilmann, P. Jarillo-Herrero, M. M. Fogler, and D. N. Basov, “Tunable phonon polaritons in atomically thin van der waals crystals of boron nitride,” Science 343(6175), 1125–1129 (2014).
[Crossref] [PubMed]

Tischler, J. G.

J. D. Caldwell, I. Vurgaftman, J. G. Tischler, O. J. Glembocki, J. C. Owrutsky, and T. L. Reinecke, “Atomic-scale photonic hybrids for mid-infrared and terahertz nanophotonics,” Nat. Nanotechnol. 11(1), 9–15 (2016).
[Crossref] [PubMed]

J. D. Caldwell, A. V. Kretinin, Y. Chen, V. Giannini, M. M. Fogler, Y. Francescato, C. T. Ellis, J. G. Tischler, C. R. Woods, A. J. Giles, M. Hong, K. Watanabe, T. Taniguchi, S. A. Maier, and K. S. Novoselov, “Sub-diffractional volume-confined polaritons in the natural hyperbolic material hexagonal boron nitride,” Nat. Commun. 5, 5221 (2014).
[Crossref] [PubMed]

Tomadin, A.

A. Tomadin, A. Principi, J. C. W. Song, L. S. Levitov, and M. Polini, “Accessing phonon polaritons in hyperbolic crystals by angle-resolved photoemission spectroscopy,” Phys. Rev. Lett. 115(8), 087401 (2015).
[Crossref] [PubMed]

Trajanoski, D.

L. Gilburd, K. S. Kim, K. Ho, D. Trajanoski, A. Maiti, D. Halverson, S. de Beer, and G. C. Walker, “Hexagonal boron nitride self-launches hyperbolic phonon polaritons,” J. Phys. Chem. Lett. 8(10), 2158–2162 (2017).
[Crossref] [PubMed]

Txoperena, O.

E. Yoxall, M. Schnell, A. Y. Nikitin, O. Txoperena, A. Woessner, M. B. Lundeberg, F. Casanova, L. E. Hueso, F. H. L. Koppens, and R. Hillenbrand, “Direct observation of ultraslow hyperbolic polariton propagation with negative phase velocity,” Nat. Photonics 9(10), 674–678 (2015).
[Crossref]

Vélez, S.

P. Li, I. Dolado, F. J. Alfaro-Mozaz, A. Y. Nikitin, F. Casanova, L. E. Hueso, S. Vélez, and R. Hillenbrand, “Optical nanoimaging of hyperbolic surface polaritons at the edges of van der Waals materials,” Nano Lett. 17(1), 228–235 (2017).
[Crossref] [PubMed]

A. Y. Nikitin, E. Yoxall, M. Schnell, S. Vélez, I. Dolado, P. Alonso-Gonzalez, F. Casanova, L. E. Hueso, and R. Hillenbrand, “Nanofocusing of hyperbolic phonon polaritons in a tapered boron nitride slab,” ACS Photonics 3(6), 924–929 (2016).
[Crossref]

Vignale, G.

A. Woessner, M. B. Lundeberg, Y. Gao, A. Principi, P. Alonso-González, M. Carrega, K. Watanabe, T. Taniguchi, G. Vignale, M. Polini, J. Hone, R. Hillenbrand, and F. H. L. Koppens, “Highly confined low-loss plasmons in graphene-boron nitride heterostructures,” Nat. Mater. 14(4), 421–425 (2015).
[Crossref] [PubMed]

Vurgaftman, I.

J. D. Caldwell, I. Vurgaftman, J. G. Tischler, O. J. Glembocki, J. C. Owrutsky, and T. L. Reinecke, “Atomic-scale photonic hybrids for mid-infrared and terahertz nanophotonics,” Nat. Nanotechnol. 11(1), 9–15 (2016).
[Crossref] [PubMed]

Wagner, M.

S. Dai, Q. Ma, T. Andersen, A. S. Mcleod, Z. Fei, M. K. Liu, M. Wagner, K. Watanabe, T. Taniguchi, M. Thiemens, F. Keilmann, P. Jarillo-Herrero, M. M. Fogler, and D. N. Basov, “Subdiffractional focusing and guiding of polaritonic rays in a natural hyperbolic material,” Nat. Commun. 6, 6963 (2015).
[Crossref] [PubMed]

S. Dai, Q. Ma, M. K. Liu, T. Andersen, Z. Fei, M. D. Goldflam, M. Wagner, K. Watanabe, T. Taniguchi, M. Thiemens, F. Keilmann, G. C. A. M. Janssen, S.-E. Zhu, P. Jarillo-Herrero, M. M. Fogler, and D. N. Basov, “Graphene on hexagonal boron nitride as a tunable hyperbolic metamaterial,” Nat. Nanotechnol. 10(8), 682–686 (2015).
[Crossref] [PubMed]

S. Dai, Z. Fei, Q. Ma, A. S. Rodin, M. Wagner, A. S. McLeod, M. K. Liu, W. Gannett, W. Regan, K. Watanabe, T. Taniguchi, M. Thiemens, G. Dominguez, A. H. C. Neto, A. Zettl, F. Keilmann, P. Jarillo-Herrero, M. M. Fogler, and D. N. Basov, “Tunable phonon polaritons in atomically thin van der waals crystals of boron nitride,” Science 343(6175), 1125–1129 (2014).
[Crossref] [PubMed]

Walker, G. C.

L. Gilburd, K. S. Kim, K. Ho, D. Trajanoski, A. Maiti, D. Halverson, S. de Beer, and G. C. Walker, “Hexagonal boron nitride self-launches hyperbolic phonon polaritons,” J. Phys. Chem. Lett. 8(10), 2158–2162 (2017).
[Crossref] [PubMed]

L. Gilburd, X. G. Xu, Y. Bando, D. Golberg, and G. C. Walker, “Near-field infrared pump-probe imaging of surface phonon coupling in boron nitride nanotubes,” J. Phys. Chem. Lett. 7(2), 289–294 (2016).
[Crossref] [PubMed]

X. G. Xu, J. H. Jiang, L. Gilburd, R. G. Rensing, K. S. Burch, C. Zhi, Y. Bando, D. Golberg, and G. C. Walker, “Mid-infrared polaritonic coupling between boron nitride nanotubes and graphene,” ACS Nano 8(11), 11305–11312 (2014).
[Crossref] [PubMed]

X. G. Xu, B. G. Ghamsari, J. H. Jiang, L. Gilburd, G. O. Andreev, C. Zhi, Y. Bando, D. Golberg, P. Berini, and G. C. Walker, “One-dimensional surface phonon polaritons in boron nitride nanotubes,” Nat. Commun. 5, 4782 (2014).
[Crossref] [PubMed]

Wang, F.

Z. Shi, H. A. Bechtel, S. Berweger, Y. Sun, B. Zeng, C. Jin, H. Chang, M. C. Martin, M. B. Raschke, and F. Wang, “Amplitude- and phase-resolved nanospectral imaging of phonon polaritons in hexagonal boron nitride,” ACS Photonics 2(7), 790–796 (2015).
[Crossref]

Wang, H.

J. Wu, H. Wang, L. Jiang, J. Guo, X. Dai, Y. Xiang, and S. Wen, “Critical coupling using the hexagonal boron nitride crystals in the mid-infrared range,” J. Appl. Phys. 119(20), 203107 (2016).
[Crossref]

Y. Jia, H. Zhao, Q. Guo, X. Wang, H. Wang, and F. Xia, “Tunable plasmon-phonon polaritons in layered graphene–hexagonal boron nitride heterostructures,” ACS Photonics 2(7), 907–912 (2015).
[Crossref]

Wang, J.

Wang, L.

L. Wang and X. G. Xu, “Scattering-type scanning near-field optical microscopy with reconstruction of vertical interaction,” Nat. Commun. 6, 8973 (2015).
[Crossref] [PubMed]

Wang, M.

Wang, X.

Y. Jia, H. Zhao, Q. Guo, X. Wang, H. Wang, and F. Xia, “Tunable plasmon-phonon polaritons in layered graphene–hexagonal boron nitride heterostructures,” ACS Photonics 2(7), 907–912 (2015).
[Crossref]

Watanabe, K.

A. Woessner, M. B. Lundeberg, Y. Gao, A. Principi, P. Alonso-González, M. Carrega, K. Watanabe, T. Taniguchi, G. Vignale, M. Polini, J. Hone, R. Hillenbrand, and F. H. L. Koppens, “Highly confined low-loss plasmons in graphene-boron nitride heterostructures,” Nat. Mater. 14(4), 421–425 (2015).
[Crossref] [PubMed]

S. Dai, Q. Ma, M. K. Liu, T. Andersen, Z. Fei, M. D. Goldflam, M. Wagner, K. Watanabe, T. Taniguchi, M. Thiemens, F. Keilmann, G. C. A. M. Janssen, S.-E. Zhu, P. Jarillo-Herrero, M. M. Fogler, and D. N. Basov, “Graphene on hexagonal boron nitride as a tunable hyperbolic metamaterial,” Nat. Nanotechnol. 10(8), 682–686 (2015).
[Crossref] [PubMed]

P. Li, M. Lewin, A. V. Kretinin, J. D. Caldwell, K. S. Novoselov, T. Taniguchi, K. Watanabe, F. Gaussmann, and T. Taubner, “Hyperbolic phonon-polaritons in boron nitride for near-field optical imaging and focusing,” Nat. Commun. 6, 7507 (2015).
[Crossref] [PubMed]

S. Dai, Q. Ma, T. Andersen, A. S. Mcleod, Z. Fei, M. K. Liu, M. Wagner, K. Watanabe, T. Taniguchi, M. Thiemens, F. Keilmann, P. Jarillo-Herrero, M. M. Fogler, and D. N. Basov, “Subdiffractional focusing and guiding of polaritonic rays in a natural hyperbolic material,” Nat. Commun. 6, 6963 (2015).
[Crossref] [PubMed]

J. D. Caldwell, A. V. Kretinin, Y. Chen, V. Giannini, M. M. Fogler, Y. Francescato, C. T. Ellis, J. G. Tischler, C. R. Woods, A. J. Giles, M. Hong, K. Watanabe, T. Taniguchi, S. A. Maier, and K. S. Novoselov, “Sub-diffractional volume-confined polaritons in the natural hyperbolic material hexagonal boron nitride,” Nat. Commun. 5, 5221 (2014).
[Crossref] [PubMed]

S. Dai, Z. Fei, Q. Ma, A. S. Rodin, M. Wagner, A. S. McLeod, M. K. Liu, W. Gannett, W. Regan, K. Watanabe, T. Taniguchi, M. Thiemens, G. Dominguez, A. H. C. Neto, A. Zettl, F. Keilmann, P. Jarillo-Herrero, M. M. Fogler, and D. N. Basov, “Tunable phonon polaritons in atomically thin van der waals crystals of boron nitride,” Science 343(6175), 1125–1129 (2014).
[Crossref] [PubMed]

Wen, S.

J. Wu, H. Wang, L. Jiang, J. Guo, X. Dai, Y. Xiang, and S. Wen, “Critical coupling using the hexagonal boron nitride crystals in the mid-infrared range,” J. Appl. Phys. 119(20), 203107 (2016).
[Crossref]

J. Wu, L. Jiang, J. Guo, X. Dai, Y. Xiang, and S. Wen, “Turnable perfect absorption at infrared frequencies by a graphene-hBN hyper crystal,” Opt. Express 24(15), 17103–17114 (2016).
[Crossref] [PubMed]

Woessner, A.

E. Yoxall, M. Schnell, A. Y. Nikitin, O. Txoperena, A. Woessner, M. B. Lundeberg, F. Casanova, L. E. Hueso, F. H. L. Koppens, and R. Hillenbrand, “Direct observation of ultraslow hyperbolic polariton propagation with negative phase velocity,” Nat. Photonics 9(10), 674–678 (2015).
[Crossref]

A. Woessner, M. B. Lundeberg, Y. Gao, A. Principi, P. Alonso-González, M. Carrega, K. Watanabe, T. Taniguchi, G. Vignale, M. Polini, J. Hone, R. Hillenbrand, and F. H. L. Koppens, “Highly confined low-loss plasmons in graphene-boron nitride heterostructures,” Nat. Mater. 14(4), 421–425 (2015).
[Crossref] [PubMed]

Woods, C. R.

J. D. Caldwell, A. V. Kretinin, Y. Chen, V. Giannini, M. M. Fogler, Y. Francescato, C. T. Ellis, J. G. Tischler, C. R. Woods, A. J. Giles, M. Hong, K. Watanabe, T. Taniguchi, S. A. Maier, and K. S. Novoselov, “Sub-diffractional volume-confined polaritons in the natural hyperbolic material hexagonal boron nitride,” Nat. Commun. 5, 5221 (2014).
[Crossref] [PubMed]

Wu, B.

Wu, H. W.

Wu, J.

J. Wu, L. Jiang, J. Guo, X. Dai, Y. Xiang, and S. Wen, “Turnable perfect absorption at infrared frequencies by a graphene-hBN hyper crystal,” Opt. Express 24(15), 17103–17114 (2016).
[Crossref] [PubMed]

J. Wu, H. Wang, L. Jiang, J. Guo, X. Dai, Y. Xiang, and S. Wen, “Critical coupling using the hexagonal boron nitride crystals in the mid-infrared range,” J. Appl. Phys. 119(20), 203107 (2016).
[Crossref]

Wu, Y.

Xia, F.

Y. Jia, H. Zhao, Q. Guo, X. Wang, H. Wang, and F. Xia, “Tunable plasmon-phonon polaritons in layered graphene–hexagonal boron nitride heterostructures,” ACS Photonics 2(7), 907–912 (2015).
[Crossref]

Xiang, Y.

Xu, H.

Xu, X. G.

L. Gilburd, X. G. Xu, Y. Bando, D. Golberg, and G. C. Walker, “Near-field infrared pump-probe imaging of surface phonon coupling in boron nitride nanotubes,” J. Phys. Chem. Lett. 7(2), 289–294 (2016).
[Crossref] [PubMed]

L. Wang and X. G. Xu, “Scattering-type scanning near-field optical microscopy with reconstruction of vertical interaction,” Nat. Commun. 6, 8973 (2015).
[Crossref] [PubMed]

X. G. Xu, B. G. Ghamsari, J. H. Jiang, L. Gilburd, G. O. Andreev, C. Zhi, Y. Bando, D. Golberg, P. Berini, and G. C. Walker, “One-dimensional surface phonon polaritons in boron nitride nanotubes,” Nat. Commun. 5, 4782 (2014).
[Crossref] [PubMed]

X. G. Xu, J. H. Jiang, L. Gilburd, R. G. Rensing, K. S. Burch, C. Zhi, Y. Bando, D. Golberg, and G. C. Walker, “Mid-infrared polaritonic coupling between boron nitride nanotubes and graphene,” ACS Nano 8(11), 11305–11312 (2014).
[Crossref] [PubMed]

Xu, Y.

Yang, Y.

Yoxall, E.

A. Y. Nikitin, E. Yoxall, M. Schnell, S. Vélez, I. Dolado, P. Alonso-Gonzalez, F. Casanova, L. E. Hueso, and R. Hillenbrand, “Nanofocusing of hyperbolic phonon polaritons in a tapered boron nitride slab,” ACS Photonics 3(6), 924–929 (2016).
[Crossref]

E. Yoxall, M. Schnell, A. Y. Nikitin, O. Txoperena, A. Woessner, M. B. Lundeberg, F. Casanova, L. E. Hueso, F. H. L. Koppens, and R. Hillenbrand, “Direct observation of ultraslow hyperbolic polariton propagation with negative phase velocity,” Nat. Photonics 9(10), 674–678 (2015).
[Crossref]

Zeng, B.

Z. Shi, H. A. Bechtel, S. Berweger, Y. Sun, B. Zeng, C. Jin, H. Chang, M. C. Martin, M. B. Raschke, and F. Wang, “Amplitude- and phase-resolved nanospectral imaging of phonon polaritons in hexagonal boron nitride,” ACS Photonics 2(7), 790–796 (2015).
[Crossref]

Zettl, A.

S. Dai, Z. Fei, Q. Ma, A. S. Rodin, M. Wagner, A. S. McLeod, M. K. Liu, W. Gannett, W. Regan, K. Watanabe, T. Taniguchi, M. Thiemens, G. Dominguez, A. H. C. Neto, A. Zettl, F. Keilmann, P. Jarillo-Herrero, M. M. Fogler, and D. N. Basov, “Tunable phonon polaritons in atomically thin van der waals crystals of boron nitride,” Science 343(6175), 1125–1129 (2014).
[Crossref] [PubMed]

Zhang, K.

Zhang, Z. M.

B. Zhao and Z. M. Zhang, “Resonance perfect absorption by exciting hyperbolic phonon polaritons in 1D hBN gratings,” Opt. Express 25(7), 7791–7796 (2017).
[Crossref] [PubMed]

B. Zhao and Z. M. Zhang, “Perfect mid-infrared absorption by hybrid phonon-plasmon polaritons in hBN/metal-grating anisotropic structures,” Int. J. Heat Mass Tran. 106, 1025–1034 (2017).
[Crossref]

Zhao, B.

B. Zhao and Z. M. Zhang, “Resonance perfect absorption by exciting hyperbolic phonon polaritons in 1D hBN gratings,” Opt. Express 25(7), 7791–7796 (2017).
[Crossref] [PubMed]

B. Zhao and Z. M. Zhang, “Perfect mid-infrared absorption by hybrid phonon-plasmon polaritons in hBN/metal-grating anisotropic structures,” Int. J. Heat Mass Tran. 106, 1025–1034 (2017).
[Crossref]

Zhao, H.

Y. Jia, H. Zhao, Q. Guo, X. Wang, H. Wang, and F. Xia, “Tunable plasmon-phonon polaritons in layered graphene–hexagonal boron nitride heterostructures,” ACS Photonics 2(7), 907–912 (2015).
[Crossref]

Zhao, Z. W.

Zhi, C.

X. G. Xu, B. G. Ghamsari, J. H. Jiang, L. Gilburd, G. O. Andreev, C. Zhi, Y. Bando, D. Golberg, P. Berini, and G. C. Walker, “One-dimensional surface phonon polaritons in boron nitride nanotubes,” Nat. Commun. 5, 4782 (2014).
[Crossref] [PubMed]

X. G. Xu, J. H. Jiang, L. Gilburd, R. G. Rensing, K. S. Burch, C. Zhi, Y. Bando, D. Golberg, and G. C. Walker, “Mid-infrared polaritonic coupling between boron nitride nanotubes and graphene,” ACS Nano 8(11), 11305–11312 (2014).
[Crossref] [PubMed]

Zhou, Y.

Zhu, B.

Zhu, S.-E.

S. Dai, Q. Ma, M. K. Liu, T. Andersen, Z. Fei, M. D. Goldflam, M. Wagner, K. Watanabe, T. Taniguchi, M. Thiemens, F. Keilmann, G. C. A. M. Janssen, S.-E. Zhu, P. Jarillo-Herrero, M. M. Fogler, and D. N. Basov, “Graphene on hexagonal boron nitride as a tunable hyperbolic metamaterial,” Nat. Nanotechnol. 10(8), 682–686 (2015).
[Crossref] [PubMed]

Zhu, Y. Y.

ACS Nano (1)

X. G. Xu, J. H. Jiang, L. Gilburd, R. G. Rensing, K. S. Burch, C. Zhi, Y. Bando, D. Golberg, and G. C. Walker, “Mid-infrared polaritonic coupling between boron nitride nanotubes and graphene,” ACS Nano 8(11), 11305–11312 (2014).
[Crossref] [PubMed]

ACS Photonics (4)

Y. Jia, H. Zhao, Q. Guo, X. Wang, H. Wang, and F. Xia, “Tunable plasmon-phonon polaritons in layered graphene–hexagonal boron nitride heterostructures,” ACS Photonics 2(7), 907–912 (2015).
[Crossref]

K. Shi, F. Bao, and S. He, “Enhanced near-field thermal radiation based on multilayer graphene-hBN heterostructures,” ACS Photonics 4(4), 971–978 (2017).
[Crossref]

Z. Shi, H. A. Bechtel, S. Berweger, Y. Sun, B. Zeng, C. Jin, H. Chang, M. C. Martin, M. B. Raschke, and F. Wang, “Amplitude- and phase-resolved nanospectral imaging of phonon polaritons in hexagonal boron nitride,” ACS Photonics 2(7), 790–796 (2015).
[Crossref]

A. Y. Nikitin, E. Yoxall, M. Schnell, S. Vélez, I. Dolado, P. Alonso-Gonzalez, F. Casanova, L. E. Hueso, and R. Hillenbrand, “Nanofocusing of hyperbolic phonon polaritons in a tapered boron nitride slab,” ACS Photonics 3(6), 924–929 (2016).
[Crossref]

Int. J. Heat Mass Tran. (1)

B. Zhao and Z. M. Zhang, “Perfect mid-infrared absorption by hybrid phonon-plasmon polaritons in hBN/metal-grating anisotropic structures,” Int. J. Heat Mass Tran. 106, 1025–1034 (2017).
[Crossref]

J. Appl. Phys. (1)

J. Wu, H. Wang, L. Jiang, J. Guo, X. Dai, Y. Xiang, and S. Wen, “Critical coupling using the hexagonal boron nitride crystals in the mid-infrared range,” J. Appl. Phys. 119(20), 203107 (2016).
[Crossref]

J. Opt. Soc. Am. B (1)

J. Phys. Chem. Lett. (2)

L. Gilburd, K. S. Kim, K. Ho, D. Trajanoski, A. Maiti, D. Halverson, S. de Beer, and G. C. Walker, “Hexagonal boron nitride self-launches hyperbolic phonon polaritons,” J. Phys. Chem. Lett. 8(10), 2158–2162 (2017).
[Crossref] [PubMed]

L. Gilburd, X. G. Xu, Y. Bando, D. Golberg, and G. C. Walker, “Near-field infrared pump-probe imaging of surface phonon coupling in boron nitride nanotubes,” J. Phys. Chem. Lett. 7(2), 289–294 (2016).
[Crossref] [PubMed]

Nano Lett. (3)

A. Kumar, T. Low, K. H. Fung, P. Avouris, and N. X. Fang, “Tunable light-matter interaction and the role of hyperbolicity in graphene-hBN system,” Nano Lett. 15(5), 3172–3180 (2015).
[Crossref] [PubMed]

V. W. Brar, M. S. Jang, M. Sherrott, S. Kim, J. J. Lopez, L. B. Kim, M. Choi, and H. Atwater, “Hybrid surface-phonon-plasmon polariton modes in graphene/monolayer h-BN heterostructures,” Nano Lett. 14(7), 3876–3880 (2014).
[Crossref] [PubMed]

P. Li, I. Dolado, F. J. Alfaro-Mozaz, A. Y. Nikitin, F. Casanova, L. E. Hueso, S. Vélez, and R. Hillenbrand, “Optical nanoimaging of hyperbolic surface polaritons at the edges of van der Waals materials,” Nano Lett. 17(1), 228–235 (2017).
[Crossref] [PubMed]

Nat. Commun. (5)

L. Wang and X. G. Xu, “Scattering-type scanning near-field optical microscopy with reconstruction of vertical interaction,” Nat. Commun. 6, 8973 (2015).
[Crossref] [PubMed]

X. G. Xu, B. G. Ghamsari, J. H. Jiang, L. Gilburd, G. O. Andreev, C. Zhi, Y. Bando, D. Golberg, P. Berini, and G. C. Walker, “One-dimensional surface phonon polaritons in boron nitride nanotubes,” Nat. Commun. 5, 4782 (2014).
[Crossref] [PubMed]

J. D. Caldwell, A. V. Kretinin, Y. Chen, V. Giannini, M. M. Fogler, Y. Francescato, C. T. Ellis, J. G. Tischler, C. R. Woods, A. J. Giles, M. Hong, K. Watanabe, T. Taniguchi, S. A. Maier, and K. S. Novoselov, “Sub-diffractional volume-confined polaritons in the natural hyperbolic material hexagonal boron nitride,” Nat. Commun. 5, 5221 (2014).
[Crossref] [PubMed]

S. Dai, Q. Ma, T. Andersen, A. S. Mcleod, Z. Fei, M. K. Liu, M. Wagner, K. Watanabe, T. Taniguchi, M. Thiemens, F. Keilmann, P. Jarillo-Herrero, M. M. Fogler, and D. N. Basov, “Subdiffractional focusing and guiding of polaritonic rays in a natural hyperbolic material,” Nat. Commun. 6, 6963 (2015).
[Crossref] [PubMed]

P. Li, M. Lewin, A. V. Kretinin, J. D. Caldwell, K. S. Novoselov, T. Taniguchi, K. Watanabe, F. Gaussmann, and T. Taubner, “Hyperbolic phonon-polaritons in boron nitride for near-field optical imaging and focusing,” Nat. Commun. 6, 7507 (2015).
[Crossref] [PubMed]

Nat. Mater. (2)

A. Woessner, M. B. Lundeberg, Y. Gao, A. Principi, P. Alonso-González, M. Carrega, K. Watanabe, T. Taniguchi, G. Vignale, M. Polini, J. Hone, R. Hillenbrand, and F. H. L. Koppens, “Highly confined low-loss plasmons in graphene-boron nitride heterostructures,” Nat. Mater. 14(4), 421–425 (2015).
[Crossref] [PubMed]

T. Low, A. Chaves, J. D. Caldwell, A. Kumar, N. X. Fang, P. Avouris, T. F. Heinz, F. Guinea, L. Martin-Moreno, and F. Koppens, “Polaritons in layered two-dimensional materials,” Nat. Mater. 16(2), 182–194 (2017).
[Crossref] [PubMed]

Nat. Nanotechnol. (2)

J. D. Caldwell, I. Vurgaftman, J. G. Tischler, O. J. Glembocki, J. C. Owrutsky, and T. L. Reinecke, “Atomic-scale photonic hybrids for mid-infrared and terahertz nanophotonics,” Nat. Nanotechnol. 11(1), 9–15 (2016).
[Crossref] [PubMed]

S. Dai, Q. Ma, M. K. Liu, T. Andersen, Z. Fei, M. D. Goldflam, M. Wagner, K. Watanabe, T. Taniguchi, M. Thiemens, F. Keilmann, G. C. A. M. Janssen, S.-E. Zhu, P. Jarillo-Herrero, M. M. Fogler, and D. N. Basov, “Graphene on hexagonal boron nitride as a tunable hyperbolic metamaterial,” Nat. Nanotechnol. 10(8), 682–686 (2015).
[Crossref] [PubMed]

Nat. Photonics (1)

E. Yoxall, M. Schnell, A. Y. Nikitin, O. Txoperena, A. Woessner, M. B. Lundeberg, F. Casanova, L. E. Hueso, F. H. L. Koppens, and R. Hillenbrand, “Direct observation of ultraslow hyperbolic polariton propagation with negative phase velocity,” Nat. Photonics 9(10), 674–678 (2015).
[Crossref]

Nature (1)

R. Hillenbrand, T. Taubner, and F. Keilmann, “Phonon-enhanced light matter interaction at the nanometre scale,” Nature 418(6894), 159–162 (2002).
[Crossref] [PubMed]

Opt. Express (6)

Opt. Lett. (3)

Phys. Rev. B (2)

D. G. Baranov, J. H. Edgar, T. Hoffman, N. Bassim, and J. D. Caldwell, “Perfect interferenceless absorption at infrared frequencies by a van der Waals crystal,” Phys. Rev. B 92(20), 201405 (2015).
[Crossref]

Y. C. Chang, A. V. Kildishev, E. E. Narimanov, and T. B. Norris, “Metasurface perfect absorber based on guided resonance of a photonic hypercrystal,” Phys. Rev. B 94(15), 155430 (2016).
[Crossref]

Phys. Rev. Lett. (1)

A. Tomadin, A. Principi, J. C. W. Song, L. S. Levitov, and M. Polini, “Accessing phonon polaritons in hyperbolic crystals by angle-resolved photoemission spectroscopy,” Phys. Rev. Lett. 115(8), 087401 (2015).
[Crossref] [PubMed]

Sci. Rep. (2)

D. A. Kuzmin, I. V. Bychkov, V. G. Shavrov, and L. N. Kotov, “Transverse-electric plasmonic modes of cylindrical graphene-based waveguide at near-infrared and visible frequencies,” Sci. Rep. 6(1), 26915 (2016).
[Crossref] [PubMed]

A. A. Sayem, M. M. Rahman, M. R. C. Mahdy, I. Jahangir, and M. S. Rahman, “Negative refraction with superior transmission in graphene-hexagonal boron nitride (hBN) multilayer hyper crystal,” Sci. Rep. 6(1), 25442 (2016).
[Crossref] [PubMed]

Science (2)

S. Dai, Z. Fei, Q. Ma, A. S. Rodin, M. Wagner, A. S. McLeod, M. K. Liu, W. Gannett, W. Regan, K. Watanabe, T. Taniguchi, M. Thiemens, G. Dominguez, A. H. C. Neto, A. Zettl, F. Keilmann, P. Jarillo-Herrero, M. M. Fogler, and D. N. Basov, “Tunable phonon polaritons in atomically thin van der waals crystals of boron nitride,” Science 343(6175), 1125–1129 (2014).
[Crossref] [PubMed]

D. N. Basov, M. M. Fogler, and F. J. García de Abajo, “Polaritons in van der Waals materials,” Science 354(6309), 6309 (2016).
[Crossref] [PubMed]

Cited By

Optica participates in Crossref's Cited-By Linking service. Citing articles from Optica Publishing Group journals and other participating publishers are listed here.

Alert me when this article is cited.


Figures (5)

Fig. 1
Fig. 1 (a) Schematic of the cylindrically curved h-BN thin film, where the c-axis originally perpendicular to the boron nitride plane in planar h-BN thin films is now in the radial direction. A dielectric core has been incorporated. (b) Model for the cylindrically curved h-BN thin films. For h-BN layer, the permittivities in the axial and azimuthal directions are ε, while the permittivity in the radial direction is ε//. (c) The permittivities ε// and ε of h-BN near the Reststrahlen bands. Only the real parts are plotted.
Fig. 2
Fig. 2 (a) The normalized |E| of the phonon polariton modes with m = 0, m = 1 and m = 2 at 1500 cm−1. The dielectric core has a diameter of 40 nm, and the thickness of h-BN is 10 nm. (b) The effective indexes neff,r and the ratios neff,r/neff,i of the modes in (a). (c) The normalized |E| of the phonon polariton modes with m = 0, m = 1 and m = 2 at 1500 cm−1. The dielectric core has a diameter of 200 nm, and the thickness of h-BN is still 10 nm. (d) The effective indexes neff,r and the ratios neff,r/neff,i of the modes in (c).
Fig. 3
Fig. 3 (a) Ez and |E| of the three representative modes in the small dimer structure, where the diameter of the core is 40 nm and the thickness of h-BN is 10 nm. (b) The effective indexes neff,r and the ratios neff,r/neff,i of the modes in (a). (c) Ez and |E| of the four representative modes in the large dimer structure, where the diameter of the core is 200 nm and the thickness of h-BN is still 10 nm. (d) The effective indexes neff,r and the ratios neff,r/neff,i of the modes in (c).
Fig. 4
Fig. 4 (a) Ez and |E| distributions of the three representative modes, where the whole structure is placed on Si substrate. (b) The effective indexes neff,r and the ratios neff,r/neff,i of the modes in (a). The diameter of the dielectric core is 200 nm; the thickness of the h-BN is 10 nm.
Fig. 5
Fig. 5 (a) neff,r and neff,r/neff,i of the m = 0, m = 1, and m = 2 modes as functions of the core radius, while the thickness of the h-BN layer is 10 nm. (b) neff,r and neff,r/neff,i of the m = 0, m = 1, and m = 2 modes as functions of the h-BN thickness, while the radius of the core is fixed at 20 nm. (c) neff,r and neff,r/neff,i of the 1st, 2nd, 3rd and 4th modes as functions of the dimer gap. (d) neff,r and neff,r/neff,i of the 1st, 2nd and 3rd modes as functions of the gap with the substrate. All the data in this figure are plotted at 1500 cm−1.

Equations (1)

Equations on this page are rendered with MathJax. Learn more.

ε i = ε i, + ε i, ( ω LO,i ) 2 ( ω TO,i ) 2 ( ω TO,i ) 2 ω 2 i Γ i ω

Metrics

Select as filters


Select Topics Cancel
© Copyright 2022 | Optica Publishing Group. All Rights Reserved