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

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References

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    [Crossref]
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    [Crossref]
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    [Crossref]
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    [Crossref] [PubMed]
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    [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).
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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).
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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).
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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).
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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).
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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).
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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).
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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).
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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).
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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).
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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).
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D. N. Basov, M. M. Fogler, and F. J. García de Abajo, “Polaritons in van der Waals materials,” Science 354(6309), 6309 (2016).
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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).
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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).
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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).
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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).
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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).
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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).
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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).
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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).
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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).
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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).
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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).
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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).
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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).
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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).
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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).
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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).
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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).
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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).
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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).
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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).
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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).
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R. Hillenbrand, T. Taubner, and F. Keilmann, “Phonon-enhanced light matter interaction at the nanometre scale,” Nature 418(6894), 159–162 (2002).
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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).
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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).
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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).
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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).
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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).
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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).
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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).
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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).
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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).
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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).
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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).
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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).
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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).
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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).
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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).
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R. Hillenbrand, T. Taubner, and F. Keilmann, “Phonon-enhanced light matter interaction at the nanometre scale,” Nature 418(6894), 159–162 (2002).
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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).
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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).
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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).
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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).
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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).
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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).
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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).
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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).
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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).
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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).
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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.

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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).
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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).
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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).
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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).
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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).
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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).
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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).
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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).
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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).
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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).
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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).
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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).
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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).
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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).
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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).
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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]

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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)

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

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