Abstract

In-plane photonic spin splitting effect is investigated in tunneling terahertz waves through an epsilon-near-zero metamaterial sandwiched between monolayer black phosphorus (BP). The strong in-plane anisotropy of BP layers will induce in-plane asymmetric spin splitting. The asymmetric spin splitting can be flexibly tuned by the angles between the incident plane and the armchair crystalline directions of the top and bottom BP layers, i.e., ϕ1 and ϕ2. Based on this, an angle-resolved barcode-encryption scheme is discussed. For the special case of ϕ1 = ϕ2 = 0 or 90°, the transmitted beam undergoes Goos-Hänchen shift, which varies with the carrier density of BP. We believe these findings can facilitate the development of novel optoelectronic devices in the Terahertz region.

© 2019 Optical Society of America under the terms of the OSA Open Access Publishing Agreement

Full Article  |  PDF Article
OSA Recommended Articles
Tunable spin splitting of Laguerre–Gaussian beams in graphene metamaterials

Wenguo Zhu, Mengjiang Jiang, Heyuan Guan, Jianhui Yu, Huihui Lu, Jun Zhang, and Zhe Chen
Photon. Res. 5(6) 684-688 (2017)

Large spatial and angular spin splitting in a thin anisotropic ε-near-zero metamaterial

Wenguo Zhu, Jianhui Yu, Heyuan Guan, Huihui Lu, Jieyuan Tang, Yuanhan Luo, and Zhe Chen
Opt. Express 25(5) 5196-5205 (2017)

Giant spin splitting induced by orbital angular momentum in an epsilon-near-zero metamaterial slab

Mengjiang Jiang, Wenguo Zhu, Heyuan Guan, Jianhui Yu, Huihui Lu, Jieyuan Tan, Jun Zhang, and Zhe Chen
Opt. Lett. 42(17) 3259-3262 (2017)

References

  • View by:
  • |
  • |
  • |

  1. O. Hosten and P. Kwiat, “Observation of the spin hall effect of light via weak measurements,” Science 319(5864), 787–790 (2008).
    [Crossref] [PubMed]
  2. K. Y. Bliokh, C. T. Samlan, C. Prajapati, G. Puentes, N. K. Viswanathan, and F. Nori, “Spin - Hall effect and circular birefringence of a uniaxial crystal plate,” optia 3, 1039 (2016).
    [Crossref]
  3. X. Qiu, Z. Zhang, L. Xie, J. Qiu, F. Gao, and J. Du, “Incident-polarization-sensitive and large in-plane-photonic-spin-splitting at the Brewster angle,” Opt. Lett. 40(6), 1018–1021 (2015).
    [Crossref] [PubMed]
  4. W. Zhu, J. Yu, H. Guan, H. Lu, J. Tang, J. Zhang, Y. Luo, and Z. Chen, “The upper limit of the in-plane spin splitting of Gaussian beam reflected from a glass-air interface,” Sci. Rep. 7(1), 1150 (2017).
    [Crossref] [PubMed]
  5. X. Zhou, L. Sheng, and X. Ling, “Photonic spin Hall effect enabled refractive index sensor using weak measurements,” Sci. Rep. 8(1), 1221 (2018).
    [Crossref] [PubMed]
  6. X. Zhou, Z. Xiao, H. Luo, S. Wen, Z. Xiao, Z. H. Luo, and S. Wen, “Experimental observation of the spin Hall effect of light on a nanometal film via weak measurements,” Phys. Rev. A 85(4), 043809 (2012).
    [Crossref]
  7. X. Zhou, X. Ling, H. Luo, and S. Wen, “Identifying graphene layers via spin Hall effect of light,” Appl. Phys. Lett. 101(25), 251602 (2012).
    [Crossref]
  8. K. Y. Bliokh and Y. P. Bliokh, “Conservation of angular momentum, transverse shift, and spin Hall effect in reflection and refraction of an electromagnetic wave packet,” Phys. Rev. Lett. 96(7), 073903 (2006).
    [Crossref] [PubMed]
  9. J. B. Götte and M. R. Dennis, “Generalized shifts and weak values for polarization components of reflected light beams,” New J. Phys. 14(7), 073016 (2012).
    [Crossref]
  10. X. Zhou, L. Xie, X. Ling, S. Cheng, Z. Zhang, H. Luo, and H. Sun, “Large in-plane asymmetric spin angular shifts of a light beam near the critical angle,” Opt. Lett. 44(2), 207–210 (2019).
    [Crossref] [PubMed]
  11. A. Alù, M. G. Silveirinha, A. Salandrino, and N. Engheta, “Epsilon-near-zero metamaterials and lectromagnetic sources: Tailoring the radiation phase pattern,” Phys. Rev. B Condens. Matter Mater. Phys. 75(15), 155410 (2007).
    [Crossref]
  12. I. Liberal and N. Engheta, “Near-zero refractive index photonics,” Nat. Photonics 11(3), 149–158 (2017).
    [Crossref]
  13. L. H. Nicholls, F. J. Rodríguez-Fortuño, M. E. Nasir, R. M. Córdova-Castro, N. Olivier, G. A. Wurtz, and A. V. Zayats, “Ultrafast synthesis and switching of light polarization in nonlinear anisotropic metamaterials,” Nat. Photonics 11(10), 628–633 (2017).
    [Crossref]
  14. M. Z. Alam, I. De Leon, and R. W. Boyd, “Large optical nonlinearity of indium tin oxide in its epsilon-near-zero region,” Science 352(6287), 795–797 (2016).
    [Crossref] [PubMed]
  15. A. V. Chebykin, A. A. Orlov, A. S. Shalin, A. N. Poddubny, and P. A. Belov, “Strong Purcell effect in anisotropic ε-near-zero metamaterials,” Phys. Rev. B Condens. Matter Mater. Phys. 91(20), 205126 (2015).
    [Crossref]
  16. I. Liberal, A. M. Mahmoud, Y. Li, B. Edwards, and N. Engheta, “Photonic doping of epsilon-near-zero media,” Science 355(6329), 1058–1062 (2017).
    [Crossref] [PubMed]
  17. X. Niu, X. Hu, S. Chu, and Q. Gong, “Epsilon-Near-Zero Photonics: A New Platform for Integrated Devices,” Adv. Opt. Mater. 6(10), 1701292 (2018).
    [Crossref]
  18. Y. Xu, C. T. Chan, and H. Chen, “Goos-Hänchen effect in epsilon-near-zero metamaterials,” Sci. Rep. 5(1), 8681 (2015).
    [Crossref] [PubMed]
  19. W. Zhu and W. She, “Enhanced spin Hall effect of transmitted light through a thin epsilon-near-zero slab,” Opt. Lett. 40(13), 2961–2964 (2015).
    [Crossref] [PubMed]
  20. M. Jiang, W. Zhu, H. Guan, J. Yu, H. Lu, J. Tan, J. Zhang, and Z. Chen, “Giant spin splitting induced by orbital angular momentum in an epsilon-near-zero metamaterial slab,” Opt. Lett. 42(17), 3259–3262 (2017).
    [Crossref] [PubMed]
  21. X. Wang and S. Lan, “Optical properties of black phosphorus,” Adv. Opt. Photonics 8(4), 618 (2016).
    [Crossref]
  22. R. Peng, K. Khaliji, N. Youngblood, R. Grassi, T. Low, and M. Li, “Midinfrared Electro-optic Modulation in Few-Layer Black Phosphorus,” Nano Lett. 17(10), 6315–6320 (2017).
    [Crossref] [PubMed]
  23. B. Deng, R. Frisenda, C. Li, X. Chen, A. Castellanos-Gomez, and F. Xia, “Progress on Black Phosphorus Photonics,” Adv. Opt. Mater. 6(19), 1800365 (2018).
    [Crossref]
  24. N. Mao, J. Tang, L. Xie, J. Wu, B. Han, J. Lin, S. Deng, W. Ji, H. Xu, K. Liu, L. Tong, and J. Zhang, “Optical Anisotropy of Black Phosphorus in the Visible Regime,” J. Am. Chem. Soc. 138(1), 300–305 (2016).
    [Crossref] [PubMed]
  25. Y. Wang, F. Zhang, X. Tang, X. Chen, Y. Chen, W. Huang, Z. Liang, L. Wu, Y. Ge, Y. Song, J. Liu, D. Zhang, J. Li, and H. Zhang, “All-Optical Phosphorene Phase Modulator with Enhanced Stability Under Ambient Conditions,” Laser Photonics Rev. 12(6), 1800016 (2018).
    [Crossref]
  26. W. Shu, J. Zhang, H. Luo, S. Chen, W. Zhang, W. Wu, S. Wen, and X. Ling, “Photonic spin Hall effect on the surface of anisotropic two-dimensional atomic crystals,” Photon. Res. 6(6), 511 (2018).
    [Crossref]
  27. H. Lin, B. Chen, S. Yang, W. Zhu, J. Yu, H. Guan, H. Lu, Y. Luo, and Z. Chen, “Photonic spin Hall effect of monolayer black phosphorus in the Terahertz region,” Nanophotonics 7(12), 1929–1937 (2018).
    [Crossref]
  28. T. Low, R. Roldán, H. Wang, F. Xia, P. Avouris, L. M. Moreno, and F. Guinea, “Plasmons and screening in monolayer and multilayer black phosphorus,” Phys. Rev. Lett. 113(10), 106802 (2014).
    [Crossref] [PubMed]
  29. A. Yariv and P. Yeh, Photonics: Optical Electronics in Modern Communications, 6th ed. New York, (Oxford University, 2007).
  30. T. Zhan, X. Shi, Y. Dai, X. Liu, and J. Zi, “Transfer matrix method for optics in graphene layers,” J. Phys. Condens. Matter 25(21), 215301 (2013).
    [Crossref] [PubMed]
  31. M. Liu, L. Cai, S. Chen, Y. Liu, H. Luo, and S. Wen, “Strong spin-orbit interaction of light on the surface of atomically thin crystals,” Phys. Rev. A (Coll. Park) 95(6), 063827 (2017).
    [Crossref]
  32. K. Y. Bliokh and A. Aiello, “Goos–Hänchen and Imbert–Fedorov beam shifts: an overview,” J. Opt. 15(1), 014001 (2013).
    [Crossref]
  33. X. Zhang, A. Shkurinov, and Y. Zhang, “Extreme terahertz science,” Nat. Photonics 11(1), 16–18 (2017).
    [Crossref]
  34. M. Jiang, H. Lin, L. Zhuo, W. Zhu, H. Guan, J. Yu, H. Lu, J. Tan, and Z. Chen, “Chirality induced asymmetric spin splitting of light beams reflected from an air-chiral interface,” Opt. Express 26(6), 6593–6601 (2018).
    [Crossref] [PubMed]
  35. M. Kafesaki, A. A. Basharin, E. N. Economou, and C. M. Soukoulis, “THz metamaterials made of phonon-polariton materials,” Photon. Nanostructures 12(4), 376–386 (2014).
    [Crossref]
  36. V. Pacheco-Peña, N. Engheta, S. Kuznetsov, A. Gentselev, and M. Beruete, “Experimental Realization of an Epsilon-Near-Zero Graded-Index Metalens at Terahertz Frequencies,” Phys. Rev. Appl. 8(3), 034036 (2017).
    [Crossref]
  37. M. A. K. Othman, C. Guclu, and F. Capolino, “Graphene-Dielectric Composite Metamaterials: Evolution from Elliptic to Hyperbolic Wavevector Dispersion and The Transverse Epsilon-Near-Zero Condition,” Nanophotonics 7(1), 073089 (2013).
    [Crossref]
  38. T. Tang, J. Li, L. Luo, P. Sun, and J. Yao, “Magneto-Optical Modulation of Photonic Spin Hall Effect of Graphene in Terahertz Region,” Adv. Opt. Mater. 6(7), 201701212 (2018).
    [Crossref]
  39. Y. Cao, V. Fatemi, A. Demir, S. Fang, S. L. Tomarken, J. Y. Luo, J. D. Sanchez-Yamagishi, K. Watanabe, T. Taniguchi, E. Kaxiras, R. C. Ashoori, and P. Jarillo-Herrero, “Correlated Insulator Behaviour at Half-Filling in Magic-Angle Graphene Superlattices,” Nature 556(7699), 80–84 (2018).
    [Crossref] [PubMed]
  40. J. B. Smith, D. Hagaman, and H. F. Ji, “Growth of 2D black phosphorus film from chemical vapor deposition,” Nanotechnology 27(21), 215602 (2016).
    [Crossref] [PubMed]
  41. T. Niu, “New properties with old materials: Layered black phosphorous,” Nano Today 12, 7–9 (2017).
    [Crossref]
  42. A. Dathbun, Y. Kim, S. Kim, Y. Yoo, M. S. Kang, C. Lee, and J. H. Cho, “Large-Area CVD-Grown Sub-2 V ReS2 Transistors and Logic Gates,” Nano Lett. 17(5), 2999–3005 (2017).
    [Crossref] [PubMed]

2019 (1)

2018 (9)

M. Jiang, H. Lin, L. Zhuo, W. Zhu, H. Guan, J. Yu, H. Lu, J. Tan, and Z. Chen, “Chirality induced asymmetric spin splitting of light beams reflected from an air-chiral interface,” Opt. Express 26(6), 6593–6601 (2018).
[Crossref] [PubMed]

W. Shu, J. Zhang, H. Luo, S. Chen, W. Zhang, W. Wu, S. Wen, and X. Ling, “Photonic spin Hall effect on the surface of anisotropic two-dimensional atomic crystals,” Photon. Res. 6(6), 511 (2018).
[Crossref]

X. Niu, X. Hu, S. Chu, and Q. Gong, “Epsilon-Near-Zero Photonics: A New Platform for Integrated Devices,” Adv. Opt. Mater. 6(10), 1701292 (2018).
[Crossref]

X. Zhou, L. Sheng, and X. Ling, “Photonic spin Hall effect enabled refractive index sensor using weak measurements,” Sci. Rep. 8(1), 1221 (2018).
[Crossref] [PubMed]

B. Deng, R. Frisenda, C. Li, X. Chen, A. Castellanos-Gomez, and F. Xia, “Progress on Black Phosphorus Photonics,” Adv. Opt. Mater. 6(19), 1800365 (2018).
[Crossref]

Y. Wang, F. Zhang, X. Tang, X. Chen, Y. Chen, W. Huang, Z. Liang, L. Wu, Y. Ge, Y. Song, J. Liu, D. Zhang, J. Li, and H. Zhang, “All-Optical Phosphorene Phase Modulator with Enhanced Stability Under Ambient Conditions,” Laser Photonics Rev. 12(6), 1800016 (2018).
[Crossref]

T. Tang, J. Li, L. Luo, P. Sun, and J. Yao, “Magneto-Optical Modulation of Photonic Spin Hall Effect of Graphene in Terahertz Region,” Adv. Opt. Mater. 6(7), 201701212 (2018).
[Crossref]

Y. Cao, V. Fatemi, A. Demir, S. Fang, S. L. Tomarken, J. Y. Luo, J. D. Sanchez-Yamagishi, K. Watanabe, T. Taniguchi, E. Kaxiras, R. C. Ashoori, and P. Jarillo-Herrero, “Correlated Insulator Behaviour at Half-Filling in Magic-Angle Graphene Superlattices,” Nature 556(7699), 80–84 (2018).
[Crossref] [PubMed]

H. Lin, B. Chen, S. Yang, W. Zhu, J. Yu, H. Guan, H. Lu, Y. Luo, and Z. Chen, “Photonic spin Hall effect of monolayer black phosphorus in the Terahertz region,” Nanophotonics 7(12), 1929–1937 (2018).
[Crossref]

2017 (11)

T. Niu, “New properties with old materials: Layered black phosphorous,” Nano Today 12, 7–9 (2017).
[Crossref]

A. Dathbun, Y. Kim, S. Kim, Y. Yoo, M. S. Kang, C. Lee, and J. H. Cho, “Large-Area CVD-Grown Sub-2 V ReS2 Transistors and Logic Gates,” Nano Lett. 17(5), 2999–3005 (2017).
[Crossref] [PubMed]

M. Liu, L. Cai, S. Chen, Y. Liu, H. Luo, and S. Wen, “Strong spin-orbit interaction of light on the surface of atomically thin crystals,” Phys. Rev. A (Coll. Park) 95(6), 063827 (2017).
[Crossref]

X. Zhang, A. Shkurinov, and Y. Zhang, “Extreme terahertz science,” Nat. Photonics 11(1), 16–18 (2017).
[Crossref]

V. Pacheco-Peña, N. Engheta, S. Kuznetsov, A. Gentselev, and M. Beruete, “Experimental Realization of an Epsilon-Near-Zero Graded-Index Metalens at Terahertz Frequencies,” Phys. Rev. Appl. 8(3), 034036 (2017).
[Crossref]

W. Zhu, J. Yu, H. Guan, H. Lu, J. Tang, J. Zhang, Y. Luo, and Z. Chen, “The upper limit of the in-plane spin splitting of Gaussian beam reflected from a glass-air interface,” Sci. Rep. 7(1), 1150 (2017).
[Crossref] [PubMed]

R. Peng, K. Khaliji, N. Youngblood, R. Grassi, T. Low, and M. Li, “Midinfrared Electro-optic Modulation in Few-Layer Black Phosphorus,” Nano Lett. 17(10), 6315–6320 (2017).
[Crossref] [PubMed]

I. Liberal, A. M. Mahmoud, Y. Li, B. Edwards, and N. Engheta, “Photonic doping of epsilon-near-zero media,” Science 355(6329), 1058–1062 (2017).
[Crossref] [PubMed]

I. Liberal and N. Engheta, “Near-zero refractive index photonics,” Nat. Photonics 11(3), 149–158 (2017).
[Crossref]

L. H. Nicholls, F. J. Rodríguez-Fortuño, M. E. Nasir, R. M. Córdova-Castro, N. Olivier, G. A. Wurtz, and A. V. Zayats, “Ultrafast synthesis and switching of light polarization in nonlinear anisotropic metamaterials,” Nat. Photonics 11(10), 628–633 (2017).
[Crossref]

M. Jiang, W. Zhu, H. Guan, J. Yu, H. Lu, J. Tan, J. Zhang, and Z. Chen, “Giant spin splitting induced by orbital angular momentum in an epsilon-near-zero metamaterial slab,” Opt. Lett. 42(17), 3259–3262 (2017).
[Crossref] [PubMed]

2016 (4)

M. Z. Alam, I. De Leon, and R. W. Boyd, “Large optical nonlinearity of indium tin oxide in its epsilon-near-zero region,” Science 352(6287), 795–797 (2016).
[Crossref] [PubMed]

X. Wang and S. Lan, “Optical properties of black phosphorus,” Adv. Opt. Photonics 8(4), 618 (2016).
[Crossref]

J. B. Smith, D. Hagaman, and H. F. Ji, “Growth of 2D black phosphorus film from chemical vapor deposition,” Nanotechnology 27(21), 215602 (2016).
[Crossref] [PubMed]

N. Mao, J. Tang, L. Xie, J. Wu, B. Han, J. Lin, S. Deng, W. Ji, H. Xu, K. Liu, L. Tong, and J. Zhang, “Optical Anisotropy of Black Phosphorus in the Visible Regime,” J. Am. Chem. Soc. 138(1), 300–305 (2016).
[Crossref] [PubMed]

2015 (4)

A. V. Chebykin, A. A. Orlov, A. S. Shalin, A. N. Poddubny, and P. A. Belov, “Strong Purcell effect in anisotropic ε-near-zero metamaterials,” Phys. Rev. B Condens. Matter Mater. Phys. 91(20), 205126 (2015).
[Crossref]

Y. Xu, C. T. Chan, and H. Chen, “Goos-Hänchen effect in epsilon-near-zero metamaterials,” Sci. Rep. 5(1), 8681 (2015).
[Crossref] [PubMed]

X. Qiu, Z. Zhang, L. Xie, J. Qiu, F. Gao, and J. Du, “Incident-polarization-sensitive and large in-plane-photonic-spin-splitting at the Brewster angle,” Opt. Lett. 40(6), 1018–1021 (2015).
[Crossref] [PubMed]

W. Zhu and W. She, “Enhanced spin Hall effect of transmitted light through a thin epsilon-near-zero slab,” Opt. Lett. 40(13), 2961–2964 (2015).
[Crossref] [PubMed]

2014 (2)

M. Kafesaki, A. A. Basharin, E. N. Economou, and C. M. Soukoulis, “THz metamaterials made of phonon-polariton materials,” Photon. Nanostructures 12(4), 376–386 (2014).
[Crossref]

T. Low, R. Roldán, H. Wang, F. Xia, P. Avouris, L. M. Moreno, and F. Guinea, “Plasmons and screening in monolayer and multilayer black phosphorus,” Phys. Rev. Lett. 113(10), 106802 (2014).
[Crossref] [PubMed]

2013 (3)

T. Zhan, X. Shi, Y. Dai, X. Liu, and J. Zi, “Transfer matrix method for optics in graphene layers,” J. Phys. Condens. Matter 25(21), 215301 (2013).
[Crossref] [PubMed]

K. Y. Bliokh and A. Aiello, “Goos–Hänchen and Imbert–Fedorov beam shifts: an overview,” J. Opt. 15(1), 014001 (2013).
[Crossref]

M. A. K. Othman, C. Guclu, and F. Capolino, “Graphene-Dielectric Composite Metamaterials: Evolution from Elliptic to Hyperbolic Wavevector Dispersion and The Transverse Epsilon-Near-Zero Condition,” Nanophotonics 7(1), 073089 (2013).
[Crossref]

2012 (3)

J. B. Götte and M. R. Dennis, “Generalized shifts and weak values for polarization components of reflected light beams,” New J. Phys. 14(7), 073016 (2012).
[Crossref]

X. Zhou, Z. Xiao, H. Luo, S. Wen, Z. Xiao, Z. H. Luo, and S. Wen, “Experimental observation of the spin Hall effect of light on a nanometal film via weak measurements,” Phys. Rev. A 85(4), 043809 (2012).
[Crossref]

X. Zhou, X. Ling, H. Luo, and S. Wen, “Identifying graphene layers via spin Hall effect of light,” Appl. Phys. Lett. 101(25), 251602 (2012).
[Crossref]

2008 (1)

O. Hosten and P. Kwiat, “Observation of the spin hall effect of light via weak measurements,” Science 319(5864), 787–790 (2008).
[Crossref] [PubMed]

2007 (1)

A. Alù, M. G. Silveirinha, A. Salandrino, and N. Engheta, “Epsilon-near-zero metamaterials and lectromagnetic sources: Tailoring the radiation phase pattern,” Phys. Rev. B Condens. Matter Mater. Phys. 75(15), 155410 (2007).
[Crossref]

2006 (1)

K. Y. Bliokh and Y. P. Bliokh, “Conservation of angular momentum, transverse shift, and spin Hall effect in reflection and refraction of an electromagnetic wave packet,” Phys. Rev. Lett. 96(7), 073903 (2006).
[Crossref] [PubMed]

Aiello, A.

K. Y. Bliokh and A. Aiello, “Goos–Hänchen and Imbert–Fedorov beam shifts: an overview,” J. Opt. 15(1), 014001 (2013).
[Crossref]

Alam, M. Z.

M. Z. Alam, I. De Leon, and R. W. Boyd, “Large optical nonlinearity of indium tin oxide in its epsilon-near-zero region,” Science 352(6287), 795–797 (2016).
[Crossref] [PubMed]

Alù, A.

A. Alù, M. G. Silveirinha, A. Salandrino, and N. Engheta, “Epsilon-near-zero metamaterials and lectromagnetic sources: Tailoring the radiation phase pattern,” Phys. Rev. B Condens. Matter Mater. Phys. 75(15), 155410 (2007).
[Crossref]

Ashoori, R. C.

Y. Cao, V. Fatemi, A. Demir, S. Fang, S. L. Tomarken, J. Y. Luo, J. D. Sanchez-Yamagishi, K. Watanabe, T. Taniguchi, E. Kaxiras, R. C. Ashoori, and P. Jarillo-Herrero, “Correlated Insulator Behaviour at Half-Filling in Magic-Angle Graphene Superlattices,” Nature 556(7699), 80–84 (2018).
[Crossref] [PubMed]

Avouris, P.

T. Low, R. Roldán, H. Wang, F. Xia, P. Avouris, L. M. Moreno, and F. Guinea, “Plasmons and screening in monolayer and multilayer black phosphorus,” Phys. Rev. Lett. 113(10), 106802 (2014).
[Crossref] [PubMed]

Basharin, A. A.

M. Kafesaki, A. A. Basharin, E. N. Economou, and C. M. Soukoulis, “THz metamaterials made of phonon-polariton materials,” Photon. Nanostructures 12(4), 376–386 (2014).
[Crossref]

Belov, P. A.

A. V. Chebykin, A. A. Orlov, A. S. Shalin, A. N. Poddubny, and P. A. Belov, “Strong Purcell effect in anisotropic ε-near-zero metamaterials,” Phys. Rev. B Condens. Matter Mater. Phys. 91(20), 205126 (2015).
[Crossref]

Beruete, M.

V. Pacheco-Peña, N. Engheta, S. Kuznetsov, A. Gentselev, and M. Beruete, “Experimental Realization of an Epsilon-Near-Zero Graded-Index Metalens at Terahertz Frequencies,” Phys. Rev. Appl. 8(3), 034036 (2017).
[Crossref]

Bliokh, K. Y.

K. Y. Bliokh and A. Aiello, “Goos–Hänchen and Imbert–Fedorov beam shifts: an overview,” J. Opt. 15(1), 014001 (2013).
[Crossref]

K. Y. Bliokh and Y. P. Bliokh, “Conservation of angular momentum, transverse shift, and spin Hall effect in reflection and refraction of an electromagnetic wave packet,” Phys. Rev. Lett. 96(7), 073903 (2006).
[Crossref] [PubMed]

Bliokh, Y. P.

K. Y. Bliokh and Y. P. Bliokh, “Conservation of angular momentum, transverse shift, and spin Hall effect in reflection and refraction of an electromagnetic wave packet,” Phys. Rev. Lett. 96(7), 073903 (2006).
[Crossref] [PubMed]

Boyd, R. W.

M. Z. Alam, I. De Leon, and R. W. Boyd, “Large optical nonlinearity of indium tin oxide in its epsilon-near-zero region,” Science 352(6287), 795–797 (2016).
[Crossref] [PubMed]

Cai, L.

M. Liu, L. Cai, S. Chen, Y. Liu, H. Luo, and S. Wen, “Strong spin-orbit interaction of light on the surface of atomically thin crystals,” Phys. Rev. A (Coll. Park) 95(6), 063827 (2017).
[Crossref]

Cao, Y.

Y. Cao, V. Fatemi, A. Demir, S. Fang, S. L. Tomarken, J. Y. Luo, J. D. Sanchez-Yamagishi, K. Watanabe, T. Taniguchi, E. Kaxiras, R. C. Ashoori, and P. Jarillo-Herrero, “Correlated Insulator Behaviour at Half-Filling in Magic-Angle Graphene Superlattices,” Nature 556(7699), 80–84 (2018).
[Crossref] [PubMed]

Capolino, F.

M. A. K. Othman, C. Guclu, and F. Capolino, “Graphene-Dielectric Composite Metamaterials: Evolution from Elliptic to Hyperbolic Wavevector Dispersion and The Transverse Epsilon-Near-Zero Condition,” Nanophotonics 7(1), 073089 (2013).
[Crossref]

Castellanos-Gomez, A.

B. Deng, R. Frisenda, C. Li, X. Chen, A. Castellanos-Gomez, and F. Xia, “Progress on Black Phosphorus Photonics,” Adv. Opt. Mater. 6(19), 1800365 (2018).
[Crossref]

Chan, C. T.

Y. Xu, C. T. Chan, and H. Chen, “Goos-Hänchen effect in epsilon-near-zero metamaterials,” Sci. Rep. 5(1), 8681 (2015).
[Crossref] [PubMed]

Chebykin, A. V.

A. V. Chebykin, A. A. Orlov, A. S. Shalin, A. N. Poddubny, and P. A. Belov, “Strong Purcell effect in anisotropic ε-near-zero metamaterials,” Phys. Rev. B Condens. Matter Mater. Phys. 91(20), 205126 (2015).
[Crossref]

Chen, B.

H. Lin, B. Chen, S. Yang, W. Zhu, J. Yu, H. Guan, H. Lu, Y. Luo, and Z. Chen, “Photonic spin Hall effect of monolayer black phosphorus in the Terahertz region,” Nanophotonics 7(12), 1929–1937 (2018).
[Crossref]

Chen, H.

Y. Xu, C. T. Chan, and H. Chen, “Goos-Hänchen effect in epsilon-near-zero metamaterials,” Sci. Rep. 5(1), 8681 (2015).
[Crossref] [PubMed]

Chen, S.

W. Shu, J. Zhang, H. Luo, S. Chen, W. Zhang, W. Wu, S. Wen, and X. Ling, “Photonic spin Hall effect on the surface of anisotropic two-dimensional atomic crystals,” Photon. Res. 6(6), 511 (2018).
[Crossref]

M. Liu, L. Cai, S. Chen, Y. Liu, H. Luo, and S. Wen, “Strong spin-orbit interaction of light on the surface of atomically thin crystals,” Phys. Rev. A (Coll. Park) 95(6), 063827 (2017).
[Crossref]

Chen, X.

B. Deng, R. Frisenda, C. Li, X. Chen, A. Castellanos-Gomez, and F. Xia, “Progress on Black Phosphorus Photonics,” Adv. Opt. Mater. 6(19), 1800365 (2018).
[Crossref]

Y. Wang, F. Zhang, X. Tang, X. Chen, Y. Chen, W. Huang, Z. Liang, L. Wu, Y. Ge, Y. Song, J. Liu, D. Zhang, J. Li, and H. Zhang, “All-Optical Phosphorene Phase Modulator with Enhanced Stability Under Ambient Conditions,” Laser Photonics Rev. 12(6), 1800016 (2018).
[Crossref]

Chen, Y.

Y. Wang, F. Zhang, X. Tang, X. Chen, Y. Chen, W. Huang, Z. Liang, L. Wu, Y. Ge, Y. Song, J. Liu, D. Zhang, J. Li, and H. Zhang, “All-Optical Phosphorene Phase Modulator with Enhanced Stability Under Ambient Conditions,” Laser Photonics Rev. 12(6), 1800016 (2018).
[Crossref]

Chen, Z.

H. Lin, B. Chen, S. Yang, W. Zhu, J. Yu, H. Guan, H. Lu, Y. Luo, and Z. Chen, “Photonic spin Hall effect of monolayer black phosphorus in the Terahertz region,” Nanophotonics 7(12), 1929–1937 (2018).
[Crossref]

M. Jiang, H. Lin, L. Zhuo, W. Zhu, H. Guan, J. Yu, H. Lu, J. Tan, and Z. Chen, “Chirality induced asymmetric spin splitting of light beams reflected from an air-chiral interface,” Opt. Express 26(6), 6593–6601 (2018).
[Crossref] [PubMed]

M. Jiang, W. Zhu, H. Guan, J. Yu, H. Lu, J. Tan, J. Zhang, and Z. Chen, “Giant spin splitting induced by orbital angular momentum in an epsilon-near-zero metamaterial slab,” Opt. Lett. 42(17), 3259–3262 (2017).
[Crossref] [PubMed]

W. Zhu, J. Yu, H. Guan, H. Lu, J. Tang, J. Zhang, Y. Luo, and Z. Chen, “The upper limit of the in-plane spin splitting of Gaussian beam reflected from a glass-air interface,” Sci. Rep. 7(1), 1150 (2017).
[Crossref] [PubMed]

Cheng, S.

Cho, J. H.

A. Dathbun, Y. Kim, S. Kim, Y. Yoo, M. S. Kang, C. Lee, and J. H. Cho, “Large-Area CVD-Grown Sub-2 V ReS2 Transistors and Logic Gates,” Nano Lett. 17(5), 2999–3005 (2017).
[Crossref] [PubMed]

Chu, S.

X. Niu, X. Hu, S. Chu, and Q. Gong, “Epsilon-Near-Zero Photonics: A New Platform for Integrated Devices,” Adv. Opt. Mater. 6(10), 1701292 (2018).
[Crossref]

Córdova-Castro, R. M.

L. H. Nicholls, F. J. Rodríguez-Fortuño, M. E. Nasir, R. M. Córdova-Castro, N. Olivier, G. A. Wurtz, and A. V. Zayats, “Ultrafast synthesis and switching of light polarization in nonlinear anisotropic metamaterials,” Nat. Photonics 11(10), 628–633 (2017).
[Crossref]

Dai, Y.

T. Zhan, X. Shi, Y. Dai, X. Liu, and J. Zi, “Transfer matrix method for optics in graphene layers,” J. Phys. Condens. Matter 25(21), 215301 (2013).
[Crossref] [PubMed]

Dathbun, A.

A. Dathbun, Y. Kim, S. Kim, Y. Yoo, M. S. Kang, C. Lee, and J. H. Cho, “Large-Area CVD-Grown Sub-2 V ReS2 Transistors and Logic Gates,” Nano Lett. 17(5), 2999–3005 (2017).
[Crossref] [PubMed]

De Leon, I.

M. Z. Alam, I. De Leon, and R. W. Boyd, “Large optical nonlinearity of indium tin oxide in its epsilon-near-zero region,” Science 352(6287), 795–797 (2016).
[Crossref] [PubMed]

Demir, A.

Y. Cao, V. Fatemi, A. Demir, S. Fang, S. L. Tomarken, J. Y. Luo, J. D. Sanchez-Yamagishi, K. Watanabe, T. Taniguchi, E. Kaxiras, R. C. Ashoori, and P. Jarillo-Herrero, “Correlated Insulator Behaviour at Half-Filling in Magic-Angle Graphene Superlattices,” Nature 556(7699), 80–84 (2018).
[Crossref] [PubMed]

Deng, B.

B. Deng, R. Frisenda, C. Li, X. Chen, A. Castellanos-Gomez, and F. Xia, “Progress on Black Phosphorus Photonics,” Adv. Opt. Mater. 6(19), 1800365 (2018).
[Crossref]

Deng, S.

N. Mao, J. Tang, L. Xie, J. Wu, B. Han, J. Lin, S. Deng, W. Ji, H. Xu, K. Liu, L. Tong, and J. Zhang, “Optical Anisotropy of Black Phosphorus in the Visible Regime,” J. Am. Chem. Soc. 138(1), 300–305 (2016).
[Crossref] [PubMed]

Dennis, M. R.

J. B. Götte and M. R. Dennis, “Generalized shifts and weak values for polarization components of reflected light beams,” New J. Phys. 14(7), 073016 (2012).
[Crossref]

Du, J.

Economou, E. N.

M. Kafesaki, A. A. Basharin, E. N. Economou, and C. M. Soukoulis, “THz metamaterials made of phonon-polariton materials,” Photon. Nanostructures 12(4), 376–386 (2014).
[Crossref]

Edwards, B.

I. Liberal, A. M. Mahmoud, Y. Li, B. Edwards, and N. Engheta, “Photonic doping of epsilon-near-zero media,” Science 355(6329), 1058–1062 (2017).
[Crossref] [PubMed]

Engheta, N.

I. Liberal, A. M. Mahmoud, Y. Li, B. Edwards, and N. Engheta, “Photonic doping of epsilon-near-zero media,” Science 355(6329), 1058–1062 (2017).
[Crossref] [PubMed]

I. Liberal and N. Engheta, “Near-zero refractive index photonics,” Nat. Photonics 11(3), 149–158 (2017).
[Crossref]

V. Pacheco-Peña, N. Engheta, S. Kuznetsov, A. Gentselev, and M. Beruete, “Experimental Realization of an Epsilon-Near-Zero Graded-Index Metalens at Terahertz Frequencies,” Phys. Rev. Appl. 8(3), 034036 (2017).
[Crossref]

A. Alù, M. G. Silveirinha, A. Salandrino, and N. Engheta, “Epsilon-near-zero metamaterials and lectromagnetic sources: Tailoring the radiation phase pattern,” Phys. Rev. B Condens. Matter Mater. Phys. 75(15), 155410 (2007).
[Crossref]

Fang, S.

Y. Cao, V. Fatemi, A. Demir, S. Fang, S. L. Tomarken, J. Y. Luo, J. D. Sanchez-Yamagishi, K. Watanabe, T. Taniguchi, E. Kaxiras, R. C. Ashoori, and P. Jarillo-Herrero, “Correlated Insulator Behaviour at Half-Filling in Magic-Angle Graphene Superlattices,” Nature 556(7699), 80–84 (2018).
[Crossref] [PubMed]

Fatemi, V.

Y. Cao, V. Fatemi, A. Demir, S. Fang, S. L. Tomarken, J. Y. Luo, J. D. Sanchez-Yamagishi, K. Watanabe, T. Taniguchi, E. Kaxiras, R. C. Ashoori, and P. Jarillo-Herrero, “Correlated Insulator Behaviour at Half-Filling in Magic-Angle Graphene Superlattices,” Nature 556(7699), 80–84 (2018).
[Crossref] [PubMed]

Frisenda, R.

B. Deng, R. Frisenda, C. Li, X. Chen, A. Castellanos-Gomez, and F. Xia, “Progress on Black Phosphorus Photonics,” Adv. Opt. Mater. 6(19), 1800365 (2018).
[Crossref]

Gao, F.

Ge, Y.

Y. Wang, F. Zhang, X. Tang, X. Chen, Y. Chen, W. Huang, Z. Liang, L. Wu, Y. Ge, Y. Song, J. Liu, D. Zhang, J. Li, and H. Zhang, “All-Optical Phosphorene Phase Modulator with Enhanced Stability Under Ambient Conditions,” Laser Photonics Rev. 12(6), 1800016 (2018).
[Crossref]

Gentselev, A.

V. Pacheco-Peña, N. Engheta, S. Kuznetsov, A. Gentselev, and M. Beruete, “Experimental Realization of an Epsilon-Near-Zero Graded-Index Metalens at Terahertz Frequencies,” Phys. Rev. Appl. 8(3), 034036 (2017).
[Crossref]

Gong, Q.

X. Niu, X. Hu, S. Chu, and Q. Gong, “Epsilon-Near-Zero Photonics: A New Platform for Integrated Devices,” Adv. Opt. Mater. 6(10), 1701292 (2018).
[Crossref]

Götte, J. B.

J. B. Götte and M. R. Dennis, “Generalized shifts and weak values for polarization components of reflected light beams,” New J. Phys. 14(7), 073016 (2012).
[Crossref]

Grassi, R.

R. Peng, K. Khaliji, N. Youngblood, R. Grassi, T. Low, and M. Li, “Midinfrared Electro-optic Modulation in Few-Layer Black Phosphorus,” Nano Lett. 17(10), 6315–6320 (2017).
[Crossref] [PubMed]

Guan, H.

H. Lin, B. Chen, S. Yang, W. Zhu, J. Yu, H. Guan, H. Lu, Y. Luo, and Z. Chen, “Photonic spin Hall effect of monolayer black phosphorus in the Terahertz region,” Nanophotonics 7(12), 1929–1937 (2018).
[Crossref]

M. Jiang, H. Lin, L. Zhuo, W. Zhu, H. Guan, J. Yu, H. Lu, J. Tan, and Z. Chen, “Chirality induced asymmetric spin splitting of light beams reflected from an air-chiral interface,” Opt. Express 26(6), 6593–6601 (2018).
[Crossref] [PubMed]

M. Jiang, W. Zhu, H. Guan, J. Yu, H. Lu, J. Tan, J. Zhang, and Z. Chen, “Giant spin splitting induced by orbital angular momentum in an epsilon-near-zero metamaterial slab,” Opt. Lett. 42(17), 3259–3262 (2017).
[Crossref] [PubMed]

W. Zhu, J. Yu, H. Guan, H. Lu, J. Tang, J. Zhang, Y. Luo, and Z. Chen, “The upper limit of the in-plane spin splitting of Gaussian beam reflected from a glass-air interface,” Sci. Rep. 7(1), 1150 (2017).
[Crossref] [PubMed]

Guclu, C.

M. A. K. Othman, C. Guclu, and F. Capolino, “Graphene-Dielectric Composite Metamaterials: Evolution from Elliptic to Hyperbolic Wavevector Dispersion and The Transverse Epsilon-Near-Zero Condition,” Nanophotonics 7(1), 073089 (2013).
[Crossref]

Guinea, F.

T. Low, R. Roldán, H. Wang, F. Xia, P. Avouris, L. M. Moreno, and F. Guinea, “Plasmons and screening in monolayer and multilayer black phosphorus,” Phys. Rev. Lett. 113(10), 106802 (2014).
[Crossref] [PubMed]

Hagaman, D.

J. B. Smith, D. Hagaman, and H. F. Ji, “Growth of 2D black phosphorus film from chemical vapor deposition,” Nanotechnology 27(21), 215602 (2016).
[Crossref] [PubMed]

Han, B.

N. Mao, J. Tang, L. Xie, J. Wu, B. Han, J. Lin, S. Deng, W. Ji, H. Xu, K. Liu, L. Tong, and J. Zhang, “Optical Anisotropy of Black Phosphorus in the Visible Regime,” J. Am. Chem. Soc. 138(1), 300–305 (2016).
[Crossref] [PubMed]

Hosten, O.

O. Hosten and P. Kwiat, “Observation of the spin hall effect of light via weak measurements,” Science 319(5864), 787–790 (2008).
[Crossref] [PubMed]

Hu, X.

X. Niu, X. Hu, S. Chu, and Q. Gong, “Epsilon-Near-Zero Photonics: A New Platform for Integrated Devices,” Adv. Opt. Mater. 6(10), 1701292 (2018).
[Crossref]

Huang, W.

Y. Wang, F. Zhang, X. Tang, X. Chen, Y. Chen, W. Huang, Z. Liang, L. Wu, Y. Ge, Y. Song, J. Liu, D. Zhang, J. Li, and H. Zhang, “All-Optical Phosphorene Phase Modulator with Enhanced Stability Under Ambient Conditions,” Laser Photonics Rev. 12(6), 1800016 (2018).
[Crossref]

Jarillo-Herrero, P.

Y. Cao, V. Fatemi, A. Demir, S. Fang, S. L. Tomarken, J. Y. Luo, J. D. Sanchez-Yamagishi, K. Watanabe, T. Taniguchi, E. Kaxiras, R. C. Ashoori, and P. Jarillo-Herrero, “Correlated Insulator Behaviour at Half-Filling in Magic-Angle Graphene Superlattices,” Nature 556(7699), 80–84 (2018).
[Crossref] [PubMed]

Ji, H. F.

J. B. Smith, D. Hagaman, and H. F. Ji, “Growth of 2D black phosphorus film from chemical vapor deposition,” Nanotechnology 27(21), 215602 (2016).
[Crossref] [PubMed]

Ji, W.

N. Mao, J. Tang, L. Xie, J. Wu, B. Han, J. Lin, S. Deng, W. Ji, H. Xu, K. Liu, L. Tong, and J. Zhang, “Optical Anisotropy of Black Phosphorus in the Visible Regime,” J. Am. Chem. Soc. 138(1), 300–305 (2016).
[Crossref] [PubMed]

Jiang, M.

Kafesaki, M.

M. Kafesaki, A. A. Basharin, E. N. Economou, and C. M. Soukoulis, “THz metamaterials made of phonon-polariton materials,” Photon. Nanostructures 12(4), 376–386 (2014).
[Crossref]

Kang, M. S.

A. Dathbun, Y. Kim, S. Kim, Y. Yoo, M. S. Kang, C. Lee, and J. H. Cho, “Large-Area CVD-Grown Sub-2 V ReS2 Transistors and Logic Gates,” Nano Lett. 17(5), 2999–3005 (2017).
[Crossref] [PubMed]

Kaxiras, E.

Y. Cao, V. Fatemi, A. Demir, S. Fang, S. L. Tomarken, J. Y. Luo, J. D. Sanchez-Yamagishi, K. Watanabe, T. Taniguchi, E. Kaxiras, R. C. Ashoori, and P. Jarillo-Herrero, “Correlated Insulator Behaviour at Half-Filling in Magic-Angle Graphene Superlattices,” Nature 556(7699), 80–84 (2018).
[Crossref] [PubMed]

Khaliji, K.

R. Peng, K. Khaliji, N. Youngblood, R. Grassi, T. Low, and M. Li, “Midinfrared Electro-optic Modulation in Few-Layer Black Phosphorus,” Nano Lett. 17(10), 6315–6320 (2017).
[Crossref] [PubMed]

Kim, S.

A. Dathbun, Y. Kim, S. Kim, Y. Yoo, M. S. Kang, C. Lee, and J. H. Cho, “Large-Area CVD-Grown Sub-2 V ReS2 Transistors and Logic Gates,” Nano Lett. 17(5), 2999–3005 (2017).
[Crossref] [PubMed]

Kim, Y.

A. Dathbun, Y. Kim, S. Kim, Y. Yoo, M. S. Kang, C. Lee, and J. H. Cho, “Large-Area CVD-Grown Sub-2 V ReS2 Transistors and Logic Gates,” Nano Lett. 17(5), 2999–3005 (2017).
[Crossref] [PubMed]

Kuznetsov, S.

V. Pacheco-Peña, N. Engheta, S. Kuznetsov, A. Gentselev, and M. Beruete, “Experimental Realization of an Epsilon-Near-Zero Graded-Index Metalens at Terahertz Frequencies,” Phys. Rev. Appl. 8(3), 034036 (2017).
[Crossref]

Kwiat, P.

O. Hosten and P. Kwiat, “Observation of the spin hall effect of light via weak measurements,” Science 319(5864), 787–790 (2008).
[Crossref] [PubMed]

Lan, S.

X. Wang and S. Lan, “Optical properties of black phosphorus,” Adv. Opt. Photonics 8(4), 618 (2016).
[Crossref]

Lee, C.

A. Dathbun, Y. Kim, S. Kim, Y. Yoo, M. S. Kang, C. Lee, and J. H. Cho, “Large-Area CVD-Grown Sub-2 V ReS2 Transistors and Logic Gates,” Nano Lett. 17(5), 2999–3005 (2017).
[Crossref] [PubMed]

Li, C.

B. Deng, R. Frisenda, C. Li, X. Chen, A. Castellanos-Gomez, and F. Xia, “Progress on Black Phosphorus Photonics,” Adv. Opt. Mater. 6(19), 1800365 (2018).
[Crossref]

Li, J.

T. Tang, J. Li, L. Luo, P. Sun, and J. Yao, “Magneto-Optical Modulation of Photonic Spin Hall Effect of Graphene in Terahertz Region,” Adv. Opt. Mater. 6(7), 201701212 (2018).
[Crossref]

Y. Wang, F. Zhang, X. Tang, X. Chen, Y. Chen, W. Huang, Z. Liang, L. Wu, Y. Ge, Y. Song, J. Liu, D. Zhang, J. Li, and H. Zhang, “All-Optical Phosphorene Phase Modulator with Enhanced Stability Under Ambient Conditions,” Laser Photonics Rev. 12(6), 1800016 (2018).
[Crossref]

Li, M.

R. Peng, K. Khaliji, N. Youngblood, R. Grassi, T. Low, and M. Li, “Midinfrared Electro-optic Modulation in Few-Layer Black Phosphorus,” Nano Lett. 17(10), 6315–6320 (2017).
[Crossref] [PubMed]

Li, Y.

I. Liberal, A. M. Mahmoud, Y. Li, B. Edwards, and N. Engheta, “Photonic doping of epsilon-near-zero media,” Science 355(6329), 1058–1062 (2017).
[Crossref] [PubMed]

Liang, Z.

Y. Wang, F. Zhang, X. Tang, X. Chen, Y. Chen, W. Huang, Z. Liang, L. Wu, Y. Ge, Y. Song, J. Liu, D. Zhang, J. Li, and H. Zhang, “All-Optical Phosphorene Phase Modulator with Enhanced Stability Under Ambient Conditions,” Laser Photonics Rev. 12(6), 1800016 (2018).
[Crossref]

Liberal, I.

I. Liberal, A. M. Mahmoud, Y. Li, B. Edwards, and N. Engheta, “Photonic doping of epsilon-near-zero media,” Science 355(6329), 1058–1062 (2017).
[Crossref] [PubMed]

I. Liberal and N. Engheta, “Near-zero refractive index photonics,” Nat. Photonics 11(3), 149–158 (2017).
[Crossref]

Lin, H.

H. Lin, B. Chen, S. Yang, W. Zhu, J. Yu, H. Guan, H. Lu, Y. Luo, and Z. Chen, “Photonic spin Hall effect of monolayer black phosphorus in the Terahertz region,” Nanophotonics 7(12), 1929–1937 (2018).
[Crossref]

M. Jiang, H. Lin, L. Zhuo, W. Zhu, H. Guan, J. Yu, H. Lu, J. Tan, and Z. Chen, “Chirality induced asymmetric spin splitting of light beams reflected from an air-chiral interface,” Opt. Express 26(6), 6593–6601 (2018).
[Crossref] [PubMed]

Lin, J.

N. Mao, J. Tang, L. Xie, J. Wu, B. Han, J. Lin, S. Deng, W. Ji, H. Xu, K. Liu, L. Tong, and J. Zhang, “Optical Anisotropy of Black Phosphorus in the Visible Regime,” J. Am. Chem. Soc. 138(1), 300–305 (2016).
[Crossref] [PubMed]

Ling, X.

Liu, J.

Y. Wang, F. Zhang, X. Tang, X. Chen, Y. Chen, W. Huang, Z. Liang, L. Wu, Y. Ge, Y. Song, J. Liu, D. Zhang, J. Li, and H. Zhang, “All-Optical Phosphorene Phase Modulator with Enhanced Stability Under Ambient Conditions,” Laser Photonics Rev. 12(6), 1800016 (2018).
[Crossref]

Liu, K.

N. Mao, J. Tang, L. Xie, J. Wu, B. Han, J. Lin, S. Deng, W. Ji, H. Xu, K. Liu, L. Tong, and J. Zhang, “Optical Anisotropy of Black Phosphorus in the Visible Regime,” J. Am. Chem. Soc. 138(1), 300–305 (2016).
[Crossref] [PubMed]

Liu, M.

M. Liu, L. Cai, S. Chen, Y. Liu, H. Luo, and S. Wen, “Strong spin-orbit interaction of light on the surface of atomically thin crystals,” Phys. Rev. A (Coll. Park) 95(6), 063827 (2017).
[Crossref]

Liu, X.

T. Zhan, X. Shi, Y. Dai, X. Liu, and J. Zi, “Transfer matrix method for optics in graphene layers,” J. Phys. Condens. Matter 25(21), 215301 (2013).
[Crossref] [PubMed]

Liu, Y.

M. Liu, L. Cai, S. Chen, Y. Liu, H. Luo, and S. Wen, “Strong spin-orbit interaction of light on the surface of atomically thin crystals,” Phys. Rev. A (Coll. Park) 95(6), 063827 (2017).
[Crossref]

Low, T.

R. Peng, K. Khaliji, N. Youngblood, R. Grassi, T. Low, and M. Li, “Midinfrared Electro-optic Modulation in Few-Layer Black Phosphorus,” Nano Lett. 17(10), 6315–6320 (2017).
[Crossref] [PubMed]

T. Low, R. Roldán, H. Wang, F. Xia, P. Avouris, L. M. Moreno, and F. Guinea, “Plasmons and screening in monolayer and multilayer black phosphorus,” Phys. Rev. Lett. 113(10), 106802 (2014).
[Crossref] [PubMed]

Lu, H.

H. Lin, B. Chen, S. Yang, W. Zhu, J. Yu, H. Guan, H. Lu, Y. Luo, and Z. Chen, “Photonic spin Hall effect of monolayer black phosphorus in the Terahertz region,” Nanophotonics 7(12), 1929–1937 (2018).
[Crossref]

M. Jiang, H. Lin, L. Zhuo, W. Zhu, H. Guan, J. Yu, H. Lu, J. Tan, and Z. Chen, “Chirality induced asymmetric spin splitting of light beams reflected from an air-chiral interface,” Opt. Express 26(6), 6593–6601 (2018).
[Crossref] [PubMed]

M. Jiang, W. Zhu, H. Guan, J. Yu, H. Lu, J. Tan, J. Zhang, and Z. Chen, “Giant spin splitting induced by orbital angular momentum in an epsilon-near-zero metamaterial slab,” Opt. Lett. 42(17), 3259–3262 (2017).
[Crossref] [PubMed]

W. Zhu, J. Yu, H. Guan, H. Lu, J. Tang, J. Zhang, Y. Luo, and Z. Chen, “The upper limit of the in-plane spin splitting of Gaussian beam reflected from a glass-air interface,” Sci. Rep. 7(1), 1150 (2017).
[Crossref] [PubMed]

Luo, H.

X. Zhou, L. Xie, X. Ling, S. Cheng, Z. Zhang, H. Luo, and H. Sun, “Large in-plane asymmetric spin angular shifts of a light beam near the critical angle,” Opt. Lett. 44(2), 207–210 (2019).
[Crossref] [PubMed]

W. Shu, J. Zhang, H. Luo, S. Chen, W. Zhang, W. Wu, S. Wen, and X. Ling, “Photonic spin Hall effect on the surface of anisotropic two-dimensional atomic crystals,” Photon. Res. 6(6), 511 (2018).
[Crossref]

M. Liu, L. Cai, S. Chen, Y. Liu, H. Luo, and S. Wen, “Strong spin-orbit interaction of light on the surface of atomically thin crystals,” Phys. Rev. A (Coll. Park) 95(6), 063827 (2017).
[Crossref]

X. Zhou, Z. Xiao, H. Luo, S. Wen, Z. Xiao, Z. H. Luo, and S. Wen, “Experimental observation of the spin Hall effect of light on a nanometal film via weak measurements,” Phys. Rev. A 85(4), 043809 (2012).
[Crossref]

X. Zhou, X. Ling, H. Luo, and S. Wen, “Identifying graphene layers via spin Hall effect of light,” Appl. Phys. Lett. 101(25), 251602 (2012).
[Crossref]

Luo, J. Y.

Y. Cao, V. Fatemi, A. Demir, S. Fang, S. L. Tomarken, J. Y. Luo, J. D. Sanchez-Yamagishi, K. Watanabe, T. Taniguchi, E. Kaxiras, R. C. Ashoori, and P. Jarillo-Herrero, “Correlated Insulator Behaviour at Half-Filling in Magic-Angle Graphene Superlattices,” Nature 556(7699), 80–84 (2018).
[Crossref] [PubMed]

Luo, L.

T. Tang, J. Li, L. Luo, P. Sun, and J. Yao, “Magneto-Optical Modulation of Photonic Spin Hall Effect of Graphene in Terahertz Region,” Adv. Opt. Mater. 6(7), 201701212 (2018).
[Crossref]

Luo, Y.

H. Lin, B. Chen, S. Yang, W. Zhu, J. Yu, H. Guan, H. Lu, Y. Luo, and Z. Chen, “Photonic spin Hall effect of monolayer black phosphorus in the Terahertz region,” Nanophotonics 7(12), 1929–1937 (2018).
[Crossref]

W. Zhu, J. Yu, H. Guan, H. Lu, J. Tang, J. Zhang, Y. Luo, and Z. Chen, “The upper limit of the in-plane spin splitting of Gaussian beam reflected from a glass-air interface,” Sci. Rep. 7(1), 1150 (2017).
[Crossref] [PubMed]

Luo, Z. H.

X. Zhou, Z. Xiao, H. Luo, S. Wen, Z. Xiao, Z. H. Luo, and S. Wen, “Experimental observation of the spin Hall effect of light on a nanometal film via weak measurements,” Phys. Rev. A 85(4), 043809 (2012).
[Crossref]

Mahmoud, A. M.

I. Liberal, A. M. Mahmoud, Y. Li, B. Edwards, and N. Engheta, “Photonic doping of epsilon-near-zero media,” Science 355(6329), 1058–1062 (2017).
[Crossref] [PubMed]

Mao, N.

N. Mao, J. Tang, L. Xie, J. Wu, B. Han, J. Lin, S. Deng, W. Ji, H. Xu, K. Liu, L. Tong, and J. Zhang, “Optical Anisotropy of Black Phosphorus in the Visible Regime,” J. Am. Chem. Soc. 138(1), 300–305 (2016).
[Crossref] [PubMed]

Moreno, L. M.

T. Low, R. Roldán, H. Wang, F. Xia, P. Avouris, L. M. Moreno, and F. Guinea, “Plasmons and screening in monolayer and multilayer black phosphorus,” Phys. Rev. Lett. 113(10), 106802 (2014).
[Crossref] [PubMed]

Nasir, M. E.

L. H. Nicholls, F. J. Rodríguez-Fortuño, M. E. Nasir, R. M. Córdova-Castro, N. Olivier, G. A. Wurtz, and A. V. Zayats, “Ultrafast synthesis and switching of light polarization in nonlinear anisotropic metamaterials,” Nat. Photonics 11(10), 628–633 (2017).
[Crossref]

Nicholls, L. H.

L. H. Nicholls, F. J. Rodríguez-Fortuño, M. E. Nasir, R. M. Córdova-Castro, N. Olivier, G. A. Wurtz, and A. V. Zayats, “Ultrafast synthesis and switching of light polarization in nonlinear anisotropic metamaterials,” Nat. Photonics 11(10), 628–633 (2017).
[Crossref]

Niu, T.

T. Niu, “New properties with old materials: Layered black phosphorous,” Nano Today 12, 7–9 (2017).
[Crossref]

Niu, X.

X. Niu, X. Hu, S. Chu, and Q. Gong, “Epsilon-Near-Zero Photonics: A New Platform for Integrated Devices,” Adv. Opt. Mater. 6(10), 1701292 (2018).
[Crossref]

Olivier, N.

L. H. Nicholls, F. J. Rodríguez-Fortuño, M. E. Nasir, R. M. Córdova-Castro, N. Olivier, G. A. Wurtz, and A. V. Zayats, “Ultrafast synthesis and switching of light polarization in nonlinear anisotropic metamaterials,” Nat. Photonics 11(10), 628–633 (2017).
[Crossref]

Orlov, A. A.

A. V. Chebykin, A. A. Orlov, A. S. Shalin, A. N. Poddubny, and P. A. Belov, “Strong Purcell effect in anisotropic ε-near-zero metamaterials,” Phys. Rev. B Condens. Matter Mater. Phys. 91(20), 205126 (2015).
[Crossref]

Othman, M. A. K.

M. A. K. Othman, C. Guclu, and F. Capolino, “Graphene-Dielectric Composite Metamaterials: Evolution from Elliptic to Hyperbolic Wavevector Dispersion and The Transverse Epsilon-Near-Zero Condition,” Nanophotonics 7(1), 073089 (2013).
[Crossref]

Pacheco-Peña, V.

V. Pacheco-Peña, N. Engheta, S. Kuznetsov, A. Gentselev, and M. Beruete, “Experimental Realization of an Epsilon-Near-Zero Graded-Index Metalens at Terahertz Frequencies,” Phys. Rev. Appl. 8(3), 034036 (2017).
[Crossref]

Peng, R.

R. Peng, K. Khaliji, N. Youngblood, R. Grassi, T. Low, and M. Li, “Midinfrared Electro-optic Modulation in Few-Layer Black Phosphorus,” Nano Lett. 17(10), 6315–6320 (2017).
[Crossref] [PubMed]

Poddubny, A. N.

A. V. Chebykin, A. A. Orlov, A. S. Shalin, A. N. Poddubny, and P. A. Belov, “Strong Purcell effect in anisotropic ε-near-zero metamaterials,” Phys. Rev. B Condens. Matter Mater. Phys. 91(20), 205126 (2015).
[Crossref]

Qiu, J.

Qiu, X.

Rodríguez-Fortuño, F. J.

L. H. Nicholls, F. J. Rodríguez-Fortuño, M. E. Nasir, R. M. Córdova-Castro, N. Olivier, G. A. Wurtz, and A. V. Zayats, “Ultrafast synthesis and switching of light polarization in nonlinear anisotropic metamaterials,” Nat. Photonics 11(10), 628–633 (2017).
[Crossref]

Roldán, R.

T. Low, R. Roldán, H. Wang, F. Xia, P. Avouris, L. M. Moreno, and F. Guinea, “Plasmons and screening in monolayer and multilayer black phosphorus,” Phys. Rev. Lett. 113(10), 106802 (2014).
[Crossref] [PubMed]

Salandrino, A.

A. Alù, M. G. Silveirinha, A. Salandrino, and N. Engheta, “Epsilon-near-zero metamaterials and lectromagnetic sources: Tailoring the radiation phase pattern,” Phys. Rev. B Condens. Matter Mater. Phys. 75(15), 155410 (2007).
[Crossref]

Sanchez-Yamagishi, J. D.

Y. Cao, V. Fatemi, A. Demir, S. Fang, S. L. Tomarken, J. Y. Luo, J. D. Sanchez-Yamagishi, K. Watanabe, T. Taniguchi, E. Kaxiras, R. C. Ashoori, and P. Jarillo-Herrero, “Correlated Insulator Behaviour at Half-Filling in Magic-Angle Graphene Superlattices,” Nature 556(7699), 80–84 (2018).
[Crossref] [PubMed]

Shalin, A. S.

A. V. Chebykin, A. A. Orlov, A. S. Shalin, A. N. Poddubny, and P. A. Belov, “Strong Purcell effect in anisotropic ε-near-zero metamaterials,” Phys. Rev. B Condens. Matter Mater. Phys. 91(20), 205126 (2015).
[Crossref]

She, W.

Sheng, L.

X. Zhou, L. Sheng, and X. Ling, “Photonic spin Hall effect enabled refractive index sensor using weak measurements,” Sci. Rep. 8(1), 1221 (2018).
[Crossref] [PubMed]

Shi, X.

T. Zhan, X. Shi, Y. Dai, X. Liu, and J. Zi, “Transfer matrix method for optics in graphene layers,” J. Phys. Condens. Matter 25(21), 215301 (2013).
[Crossref] [PubMed]

Shkurinov, A.

X. Zhang, A. Shkurinov, and Y. Zhang, “Extreme terahertz science,” Nat. Photonics 11(1), 16–18 (2017).
[Crossref]

Shu, W.

Silveirinha, M. G.

A. Alù, M. G. Silveirinha, A. Salandrino, and N. Engheta, “Epsilon-near-zero metamaterials and lectromagnetic sources: Tailoring the radiation phase pattern,” Phys. Rev. B Condens. Matter Mater. Phys. 75(15), 155410 (2007).
[Crossref]

Smith, J. B.

J. B. Smith, D. Hagaman, and H. F. Ji, “Growth of 2D black phosphorus film from chemical vapor deposition,” Nanotechnology 27(21), 215602 (2016).
[Crossref] [PubMed]

Song, Y.

Y. Wang, F. Zhang, X. Tang, X. Chen, Y. Chen, W. Huang, Z. Liang, L. Wu, Y. Ge, Y. Song, J. Liu, D. Zhang, J. Li, and H. Zhang, “All-Optical Phosphorene Phase Modulator with Enhanced Stability Under Ambient Conditions,” Laser Photonics Rev. 12(6), 1800016 (2018).
[Crossref]

Soukoulis, C. M.

M. Kafesaki, A. A. Basharin, E. N. Economou, and C. M. Soukoulis, “THz metamaterials made of phonon-polariton materials,” Photon. Nanostructures 12(4), 376–386 (2014).
[Crossref]

Sun, H.

Sun, P.

T. Tang, J. Li, L. Luo, P. Sun, and J. Yao, “Magneto-Optical Modulation of Photonic Spin Hall Effect of Graphene in Terahertz Region,” Adv. Opt. Mater. 6(7), 201701212 (2018).
[Crossref]

Tan, J.

Tang, J.

W. Zhu, J. Yu, H. Guan, H. Lu, J. Tang, J. Zhang, Y. Luo, and Z. Chen, “The upper limit of the in-plane spin splitting of Gaussian beam reflected from a glass-air interface,” Sci. Rep. 7(1), 1150 (2017).
[Crossref] [PubMed]

N. Mao, J. Tang, L. Xie, J. Wu, B. Han, J. Lin, S. Deng, W. Ji, H. Xu, K. Liu, L. Tong, and J. Zhang, “Optical Anisotropy of Black Phosphorus in the Visible Regime,” J. Am. Chem. Soc. 138(1), 300–305 (2016).
[Crossref] [PubMed]

Tang, T.

T. Tang, J. Li, L. Luo, P. Sun, and J. Yao, “Magneto-Optical Modulation of Photonic Spin Hall Effect of Graphene in Terahertz Region,” Adv. Opt. Mater. 6(7), 201701212 (2018).
[Crossref]

Tang, X.

Y. Wang, F. Zhang, X. Tang, X. Chen, Y. Chen, W. Huang, Z. Liang, L. Wu, Y. Ge, Y. Song, J. Liu, D. Zhang, J. Li, and H. Zhang, “All-Optical Phosphorene Phase Modulator with Enhanced Stability Under Ambient Conditions,” Laser Photonics Rev. 12(6), 1800016 (2018).
[Crossref]

Taniguchi, T.

Y. Cao, V. Fatemi, A. Demir, S. Fang, S. L. Tomarken, J. Y. Luo, J. D. Sanchez-Yamagishi, K. Watanabe, T. Taniguchi, E. Kaxiras, R. C. Ashoori, and P. Jarillo-Herrero, “Correlated Insulator Behaviour at Half-Filling in Magic-Angle Graphene Superlattices,” Nature 556(7699), 80–84 (2018).
[Crossref] [PubMed]

Tomarken, S. L.

Y. Cao, V. Fatemi, A. Demir, S. Fang, S. L. Tomarken, J. Y. Luo, J. D. Sanchez-Yamagishi, K. Watanabe, T. Taniguchi, E. Kaxiras, R. C. Ashoori, and P. Jarillo-Herrero, “Correlated Insulator Behaviour at Half-Filling in Magic-Angle Graphene Superlattices,” Nature 556(7699), 80–84 (2018).
[Crossref] [PubMed]

Tong, L.

N. Mao, J. Tang, L. Xie, J. Wu, B. Han, J. Lin, S. Deng, W. Ji, H. Xu, K. Liu, L. Tong, and J. Zhang, “Optical Anisotropy of Black Phosphorus in the Visible Regime,” J. Am. Chem. Soc. 138(1), 300–305 (2016).
[Crossref] [PubMed]

Wang, H.

T. Low, R. Roldán, H. Wang, F. Xia, P. Avouris, L. M. Moreno, and F. Guinea, “Plasmons and screening in monolayer and multilayer black phosphorus,” Phys. Rev. Lett. 113(10), 106802 (2014).
[Crossref] [PubMed]

Wang, X.

X. Wang and S. Lan, “Optical properties of black phosphorus,” Adv. Opt. Photonics 8(4), 618 (2016).
[Crossref]

Wang, Y.

Y. Wang, F. Zhang, X. Tang, X. Chen, Y. Chen, W. Huang, Z. Liang, L. Wu, Y. Ge, Y. Song, J. Liu, D. Zhang, J. Li, and H. Zhang, “All-Optical Phosphorene Phase Modulator with Enhanced Stability Under Ambient Conditions,” Laser Photonics Rev. 12(6), 1800016 (2018).
[Crossref]

Watanabe, K.

Y. Cao, V. Fatemi, A. Demir, S. Fang, S. L. Tomarken, J. Y. Luo, J. D. Sanchez-Yamagishi, K. Watanabe, T. Taniguchi, E. Kaxiras, R. C. Ashoori, and P. Jarillo-Herrero, “Correlated Insulator Behaviour at Half-Filling in Magic-Angle Graphene Superlattices,” Nature 556(7699), 80–84 (2018).
[Crossref] [PubMed]

Wen, S.

W. Shu, J. Zhang, H. Luo, S. Chen, W. Zhang, W. Wu, S. Wen, and X. Ling, “Photonic spin Hall effect on the surface of anisotropic two-dimensional atomic crystals,” Photon. Res. 6(6), 511 (2018).
[Crossref]

M. Liu, L. Cai, S. Chen, Y. Liu, H. Luo, and S. Wen, “Strong spin-orbit interaction of light on the surface of atomically thin crystals,” Phys. Rev. A (Coll. Park) 95(6), 063827 (2017).
[Crossref]

X. Zhou, Z. Xiao, H. Luo, S. Wen, Z. Xiao, Z. H. Luo, and S. Wen, “Experimental observation of the spin Hall effect of light on a nanometal film via weak measurements,” Phys. Rev. A 85(4), 043809 (2012).
[Crossref]

X. Zhou, Z. Xiao, H. Luo, S. Wen, Z. Xiao, Z. H. Luo, and S. Wen, “Experimental observation of the spin Hall effect of light on a nanometal film via weak measurements,” Phys. Rev. A 85(4), 043809 (2012).
[Crossref]

X. Zhou, X. Ling, H. Luo, and S. Wen, “Identifying graphene layers via spin Hall effect of light,” Appl. Phys. Lett. 101(25), 251602 (2012).
[Crossref]

Wu, J.

N. Mao, J. Tang, L. Xie, J. Wu, B. Han, J. Lin, S. Deng, W. Ji, H. Xu, K. Liu, L. Tong, and J. Zhang, “Optical Anisotropy of Black Phosphorus in the Visible Regime,” J. Am. Chem. Soc. 138(1), 300–305 (2016).
[Crossref] [PubMed]

Wu, L.

Y. Wang, F. Zhang, X. Tang, X. Chen, Y. Chen, W. Huang, Z. Liang, L. Wu, Y. Ge, Y. Song, J. Liu, D. Zhang, J. Li, and H. Zhang, “All-Optical Phosphorene Phase Modulator with Enhanced Stability Under Ambient Conditions,” Laser Photonics Rev. 12(6), 1800016 (2018).
[Crossref]

Wu, W.

Wurtz, G. A.

L. H. Nicholls, F. J. Rodríguez-Fortuño, M. E. Nasir, R. M. Córdova-Castro, N. Olivier, G. A. Wurtz, and A. V. Zayats, “Ultrafast synthesis and switching of light polarization in nonlinear anisotropic metamaterials,” Nat. Photonics 11(10), 628–633 (2017).
[Crossref]

Xia, F.

B. Deng, R. Frisenda, C. Li, X. Chen, A. Castellanos-Gomez, and F. Xia, “Progress on Black Phosphorus Photonics,” Adv. Opt. Mater. 6(19), 1800365 (2018).
[Crossref]

T. Low, R. Roldán, H. Wang, F. Xia, P. Avouris, L. M. Moreno, and F. Guinea, “Plasmons and screening in monolayer and multilayer black phosphorus,” Phys. Rev. Lett. 113(10), 106802 (2014).
[Crossref] [PubMed]

Xiao, Z.

X. Zhou, Z. Xiao, H. Luo, S. Wen, Z. Xiao, Z. H. Luo, and S. Wen, “Experimental observation of the spin Hall effect of light on a nanometal film via weak measurements,” Phys. Rev. A 85(4), 043809 (2012).
[Crossref]

X. Zhou, Z. Xiao, H. Luo, S. Wen, Z. Xiao, Z. H. Luo, and S. Wen, “Experimental observation of the spin Hall effect of light on a nanometal film via weak measurements,” Phys. Rev. A 85(4), 043809 (2012).
[Crossref]

Xie, L.

Xu, H.

N. Mao, J. Tang, L. Xie, J. Wu, B. Han, J. Lin, S. Deng, W. Ji, H. Xu, K. Liu, L. Tong, and J. Zhang, “Optical Anisotropy of Black Phosphorus in the Visible Regime,” J. Am. Chem. Soc. 138(1), 300–305 (2016).
[Crossref] [PubMed]

Xu, Y.

Y. Xu, C. T. Chan, and H. Chen, “Goos-Hänchen effect in epsilon-near-zero metamaterials,” Sci. Rep. 5(1), 8681 (2015).
[Crossref] [PubMed]

Yang, S.

H. Lin, B. Chen, S. Yang, W. Zhu, J. Yu, H. Guan, H. Lu, Y. Luo, and Z. Chen, “Photonic spin Hall effect of monolayer black phosphorus in the Terahertz region,” Nanophotonics 7(12), 1929–1937 (2018).
[Crossref]

Yao, J.

T. Tang, J. Li, L. Luo, P. Sun, and J. Yao, “Magneto-Optical Modulation of Photonic Spin Hall Effect of Graphene in Terahertz Region,” Adv. Opt. Mater. 6(7), 201701212 (2018).
[Crossref]

Yoo, Y.

A. Dathbun, Y. Kim, S. Kim, Y. Yoo, M. S. Kang, C. Lee, and J. H. Cho, “Large-Area CVD-Grown Sub-2 V ReS2 Transistors and Logic Gates,” Nano Lett. 17(5), 2999–3005 (2017).
[Crossref] [PubMed]

Youngblood, N.

R. Peng, K. Khaliji, N. Youngblood, R. Grassi, T. Low, and M. Li, “Midinfrared Electro-optic Modulation in Few-Layer Black Phosphorus,” Nano Lett. 17(10), 6315–6320 (2017).
[Crossref] [PubMed]

Yu, J.

H. Lin, B. Chen, S. Yang, W. Zhu, J. Yu, H. Guan, H. Lu, Y. Luo, and Z. Chen, “Photonic spin Hall effect of monolayer black phosphorus in the Terahertz region,” Nanophotonics 7(12), 1929–1937 (2018).
[Crossref]

M. Jiang, H. Lin, L. Zhuo, W. Zhu, H. Guan, J. Yu, H. Lu, J. Tan, and Z. Chen, “Chirality induced asymmetric spin splitting of light beams reflected from an air-chiral interface,” Opt. Express 26(6), 6593–6601 (2018).
[Crossref] [PubMed]

M. Jiang, W. Zhu, H. Guan, J. Yu, H. Lu, J. Tan, J. Zhang, and Z. Chen, “Giant spin splitting induced by orbital angular momentum in an epsilon-near-zero metamaterial slab,” Opt. Lett. 42(17), 3259–3262 (2017).
[Crossref] [PubMed]

W. Zhu, J. Yu, H. Guan, H. Lu, J. Tang, J. Zhang, Y. Luo, and Z. Chen, “The upper limit of the in-plane spin splitting of Gaussian beam reflected from a glass-air interface,” Sci. Rep. 7(1), 1150 (2017).
[Crossref] [PubMed]

Zayats, A. V.

L. H. Nicholls, F. J. Rodríguez-Fortuño, M. E. Nasir, R. M. Córdova-Castro, N. Olivier, G. A. Wurtz, and A. V. Zayats, “Ultrafast synthesis and switching of light polarization in nonlinear anisotropic metamaterials,” Nat. Photonics 11(10), 628–633 (2017).
[Crossref]

Zhan, T.

T. Zhan, X. Shi, Y. Dai, X. Liu, and J. Zi, “Transfer matrix method for optics in graphene layers,” J. Phys. Condens. Matter 25(21), 215301 (2013).
[Crossref] [PubMed]

Zhang, D.

Y. Wang, F. Zhang, X. Tang, X. Chen, Y. Chen, W. Huang, Z. Liang, L. Wu, Y. Ge, Y. Song, J. Liu, D. Zhang, J. Li, and H. Zhang, “All-Optical Phosphorene Phase Modulator with Enhanced Stability Under Ambient Conditions,” Laser Photonics Rev. 12(6), 1800016 (2018).
[Crossref]

Zhang, F.

Y. Wang, F. Zhang, X. Tang, X. Chen, Y. Chen, W. Huang, Z. Liang, L. Wu, Y. Ge, Y. Song, J. Liu, D. Zhang, J. Li, and H. Zhang, “All-Optical Phosphorene Phase Modulator with Enhanced Stability Under Ambient Conditions,” Laser Photonics Rev. 12(6), 1800016 (2018).
[Crossref]

Zhang, H.

Y. Wang, F. Zhang, X. Tang, X. Chen, Y. Chen, W. Huang, Z. Liang, L. Wu, Y. Ge, Y. Song, J. Liu, D. Zhang, J. Li, and H. Zhang, “All-Optical Phosphorene Phase Modulator with Enhanced Stability Under Ambient Conditions,” Laser Photonics Rev. 12(6), 1800016 (2018).
[Crossref]

Zhang, J.

W. Shu, J. Zhang, H. Luo, S. Chen, W. Zhang, W. Wu, S. Wen, and X. Ling, “Photonic spin Hall effect on the surface of anisotropic two-dimensional atomic crystals,” Photon. Res. 6(6), 511 (2018).
[Crossref]

M. Jiang, W. Zhu, H. Guan, J. Yu, H. Lu, J. Tan, J. Zhang, and Z. Chen, “Giant spin splitting induced by orbital angular momentum in an epsilon-near-zero metamaterial slab,” Opt. Lett. 42(17), 3259–3262 (2017).
[Crossref] [PubMed]

W. Zhu, J. Yu, H. Guan, H. Lu, J. Tang, J. Zhang, Y. Luo, and Z. Chen, “The upper limit of the in-plane spin splitting of Gaussian beam reflected from a glass-air interface,” Sci. Rep. 7(1), 1150 (2017).
[Crossref] [PubMed]

N. Mao, J. Tang, L. Xie, J. Wu, B. Han, J. Lin, S. Deng, W. Ji, H. Xu, K. Liu, L. Tong, and J. Zhang, “Optical Anisotropy of Black Phosphorus in the Visible Regime,” J. Am. Chem. Soc. 138(1), 300–305 (2016).
[Crossref] [PubMed]

Zhang, W.

Zhang, X.

X. Zhang, A. Shkurinov, and Y. Zhang, “Extreme terahertz science,” Nat. Photonics 11(1), 16–18 (2017).
[Crossref]

Zhang, Y.

X. Zhang, A. Shkurinov, and Y. Zhang, “Extreme terahertz science,” Nat. Photonics 11(1), 16–18 (2017).
[Crossref]

Zhang, Z.

Zhou, X.

X. Zhou, L. Xie, X. Ling, S. Cheng, Z. Zhang, H. Luo, and H. Sun, “Large in-plane asymmetric spin angular shifts of a light beam near the critical angle,” Opt. Lett. 44(2), 207–210 (2019).
[Crossref] [PubMed]

X. Zhou, L. Sheng, and X. Ling, “Photonic spin Hall effect enabled refractive index sensor using weak measurements,” Sci. Rep. 8(1), 1221 (2018).
[Crossref] [PubMed]

X. Zhou, X. Ling, H. Luo, and S. Wen, “Identifying graphene layers via spin Hall effect of light,” Appl. Phys. Lett. 101(25), 251602 (2012).
[Crossref]

X. Zhou, Z. Xiao, H. Luo, S. Wen, Z. Xiao, Z. H. Luo, and S. Wen, “Experimental observation of the spin Hall effect of light on a nanometal film via weak measurements,” Phys. Rev. A 85(4), 043809 (2012).
[Crossref]

Zhu, W.

Zhuo, L.

Zi, J.

T. Zhan, X. Shi, Y. Dai, X. Liu, and J. Zi, “Transfer matrix method for optics in graphene layers,” J. Phys. Condens. Matter 25(21), 215301 (2013).
[Crossref] [PubMed]

Adv. Opt. Mater. (3)

X. Niu, X. Hu, S. Chu, and Q. Gong, “Epsilon-Near-Zero Photonics: A New Platform for Integrated Devices,” Adv. Opt. Mater. 6(10), 1701292 (2018).
[Crossref]

B. Deng, R. Frisenda, C. Li, X. Chen, A. Castellanos-Gomez, and F. Xia, “Progress on Black Phosphorus Photonics,” Adv. Opt. Mater. 6(19), 1800365 (2018).
[Crossref]

T. Tang, J. Li, L. Luo, P. Sun, and J. Yao, “Magneto-Optical Modulation of Photonic Spin Hall Effect of Graphene in Terahertz Region,” Adv. Opt. Mater. 6(7), 201701212 (2018).
[Crossref]

Adv. Opt. Photonics (1)

X. Wang and S. Lan, “Optical properties of black phosphorus,” Adv. Opt. Photonics 8(4), 618 (2016).
[Crossref]

Appl. Phys. Lett. (1)

X. Zhou, X. Ling, H. Luo, and S. Wen, “Identifying graphene layers via spin Hall effect of light,” Appl. Phys. Lett. 101(25), 251602 (2012).
[Crossref]

J. Am. Chem. Soc. (1)

N. Mao, J. Tang, L. Xie, J. Wu, B. Han, J. Lin, S. Deng, W. Ji, H. Xu, K. Liu, L. Tong, and J. Zhang, “Optical Anisotropy of Black Phosphorus in the Visible Regime,” J. Am. Chem. Soc. 138(1), 300–305 (2016).
[Crossref] [PubMed]

J. Opt. (1)

K. Y. Bliokh and A. Aiello, “Goos–Hänchen and Imbert–Fedorov beam shifts: an overview,” J. Opt. 15(1), 014001 (2013).
[Crossref]

J. Phys. Condens. Matter (1)

T. Zhan, X. Shi, Y. Dai, X. Liu, and J. Zi, “Transfer matrix method for optics in graphene layers,” J. Phys. Condens. Matter 25(21), 215301 (2013).
[Crossref] [PubMed]

Laser Photonics Rev. (1)

Y. Wang, F. Zhang, X. Tang, X. Chen, Y. Chen, W. Huang, Z. Liang, L. Wu, Y. Ge, Y. Song, J. Liu, D. Zhang, J. Li, and H. Zhang, “All-Optical Phosphorene Phase Modulator with Enhanced Stability Under Ambient Conditions,” Laser Photonics Rev. 12(6), 1800016 (2018).
[Crossref]

Nano Lett. (2)

R. Peng, K. Khaliji, N. Youngblood, R. Grassi, T. Low, and M. Li, “Midinfrared Electro-optic Modulation in Few-Layer Black Phosphorus,” Nano Lett. 17(10), 6315–6320 (2017).
[Crossref] [PubMed]

A. Dathbun, Y. Kim, S. Kim, Y. Yoo, M. S. Kang, C. Lee, and J. H. Cho, “Large-Area CVD-Grown Sub-2 V ReS2 Transistors and Logic Gates,” Nano Lett. 17(5), 2999–3005 (2017).
[Crossref] [PubMed]

Nano Today (1)

T. Niu, “New properties with old materials: Layered black phosphorous,” Nano Today 12, 7–9 (2017).
[Crossref]

Nanophotonics (2)

H. Lin, B. Chen, S. Yang, W. Zhu, J. Yu, H. Guan, H. Lu, Y. Luo, and Z. Chen, “Photonic spin Hall effect of monolayer black phosphorus in the Terahertz region,” Nanophotonics 7(12), 1929–1937 (2018).
[Crossref]

M. A. K. Othman, C. Guclu, and F. Capolino, “Graphene-Dielectric Composite Metamaterials: Evolution from Elliptic to Hyperbolic Wavevector Dispersion and The Transverse Epsilon-Near-Zero Condition,” Nanophotonics 7(1), 073089 (2013).
[Crossref]

Nanotechnology (1)

J. B. Smith, D. Hagaman, and H. F. Ji, “Growth of 2D black phosphorus film from chemical vapor deposition,” Nanotechnology 27(21), 215602 (2016).
[Crossref] [PubMed]

Nat. Photonics (3)

X. Zhang, A. Shkurinov, and Y. Zhang, “Extreme terahertz science,” Nat. Photonics 11(1), 16–18 (2017).
[Crossref]

I. Liberal and N. Engheta, “Near-zero refractive index photonics,” Nat. Photonics 11(3), 149–158 (2017).
[Crossref]

L. H. Nicholls, F. J. Rodríguez-Fortuño, M. E. Nasir, R. M. Córdova-Castro, N. Olivier, G. A. Wurtz, and A. V. Zayats, “Ultrafast synthesis and switching of light polarization in nonlinear anisotropic metamaterials,” Nat. Photonics 11(10), 628–633 (2017).
[Crossref]

Nature (1)

Y. Cao, V. Fatemi, A. Demir, S. Fang, S. L. Tomarken, J. Y. Luo, J. D. Sanchez-Yamagishi, K. Watanabe, T. Taniguchi, E. Kaxiras, R. C. Ashoori, and P. Jarillo-Herrero, “Correlated Insulator Behaviour at Half-Filling in Magic-Angle Graphene Superlattices,” Nature 556(7699), 80–84 (2018).
[Crossref] [PubMed]

New J. Phys. (1)

J. B. Götte and M. R. Dennis, “Generalized shifts and weak values for polarization components of reflected light beams,” New J. Phys. 14(7), 073016 (2012).
[Crossref]

Opt. Express (1)

Opt. Lett. (4)

Photon. Nanostructures (1)

M. Kafesaki, A. A. Basharin, E. N. Economou, and C. M. Soukoulis, “THz metamaterials made of phonon-polariton materials,” Photon. Nanostructures 12(4), 376–386 (2014).
[Crossref]

Photon. Res. (1)

Phys. Rev. A (1)

X. Zhou, Z. Xiao, H. Luo, S. Wen, Z. Xiao, Z. H. Luo, and S. Wen, “Experimental observation of the spin Hall effect of light on a nanometal film via weak measurements,” Phys. Rev. A 85(4), 043809 (2012).
[Crossref]

Phys. Rev. A (Coll. Park) (1)

M. Liu, L. Cai, S. Chen, Y. Liu, H. Luo, and S. Wen, “Strong spin-orbit interaction of light on the surface of atomically thin crystals,” Phys. Rev. A (Coll. Park) 95(6), 063827 (2017).
[Crossref]

Phys. Rev. Appl. (1)

V. Pacheco-Peña, N. Engheta, S. Kuznetsov, A. Gentselev, and M. Beruete, “Experimental Realization of an Epsilon-Near-Zero Graded-Index Metalens at Terahertz Frequencies,” Phys. Rev. Appl. 8(3), 034036 (2017).
[Crossref]

Phys. Rev. B Condens. Matter Mater. Phys. (2)

A. V. Chebykin, A. A. Orlov, A. S. Shalin, A. N. Poddubny, and P. A. Belov, “Strong Purcell effect in anisotropic ε-near-zero metamaterials,” Phys. Rev. B Condens. Matter Mater. Phys. 91(20), 205126 (2015).
[Crossref]

A. Alù, M. G. Silveirinha, A. Salandrino, and N. Engheta, “Epsilon-near-zero metamaterials and lectromagnetic sources: Tailoring the radiation phase pattern,” Phys. Rev. B Condens. Matter Mater. Phys. 75(15), 155410 (2007).
[Crossref]

Phys. Rev. Lett. (2)

K. Y. Bliokh and Y. P. Bliokh, “Conservation of angular momentum, transverse shift, and spin Hall effect in reflection and refraction of an electromagnetic wave packet,” Phys. Rev. Lett. 96(7), 073903 (2006).
[Crossref] [PubMed]

T. Low, R. Roldán, H. Wang, F. Xia, P. Avouris, L. M. Moreno, and F. Guinea, “Plasmons and screening in monolayer and multilayer black phosphorus,” Phys. Rev. Lett. 113(10), 106802 (2014).
[Crossref] [PubMed]

Sci. Rep. (3)

W. Zhu, J. Yu, H. Guan, H. Lu, J. Tang, J. Zhang, Y. Luo, and Z. Chen, “The upper limit of the in-plane spin splitting of Gaussian beam reflected from a glass-air interface,” Sci. Rep. 7(1), 1150 (2017).
[Crossref] [PubMed]

X. Zhou, L. Sheng, and X. Ling, “Photonic spin Hall effect enabled refractive index sensor using weak measurements,” Sci. Rep. 8(1), 1221 (2018).
[Crossref] [PubMed]

Y. Xu, C. T. Chan, and H. Chen, “Goos-Hänchen effect in epsilon-near-zero metamaterials,” Sci. Rep. 5(1), 8681 (2015).
[Crossref] [PubMed]

Science (3)

I. Liberal, A. M. Mahmoud, Y. Li, B. Edwards, and N. Engheta, “Photonic doping of epsilon-near-zero media,” Science 355(6329), 1058–1062 (2017).
[Crossref] [PubMed]

M. Z. Alam, I. De Leon, and R. W. Boyd, “Large optical nonlinearity of indium tin oxide in its epsilon-near-zero region,” Science 352(6287), 795–797 (2016).
[Crossref] [PubMed]

O. Hosten and P. Kwiat, “Observation of the spin hall effect of light via weak measurements,” Science 319(5864), 787–790 (2008).
[Crossref] [PubMed]

Other (2)

K. Y. Bliokh, C. T. Samlan, C. Prajapati, G. Puentes, N. K. Viswanathan, and F. Nori, “Spin - Hall effect and circular birefringence of a uniaxial crystal plate,” optia 3, 1039 (2016).
[Crossref]

A. Yariv and P. Yeh, Photonics: Optical Electronics in Modern Communications, 6th ed. New York, (Oxford University, 2007).

Cited By

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

Alert me when this article is cited.


Figures (8)

Fig. 1
Fig. 1 (a) Schematic of in-plane asymmetric spin splitting. A horizontal incident polarization can be considered as a superposition of two opposite spin, which undergo displacements X ± along x-axis thus separate spatially, after transmitted through the BP-ENZ metamaterial-BP structure. The incident plane makes angles of ϕ1 and ϕ2 to the armchair axes of top and bottom BP layers, respectively. (b) A single BP layer surrounding by two dielectrics with refractive index of nj and nj+1. (c) A stack of N BP layers separated by different dielectrics.
Fig. 2
Fig. 2 (a) GH shifts changing with the incident angle for the carrier density ρ = 0, 2.5, and 5 × 1017 m−2, and for (b) the refractive index of ENZ metamaterial n = 0.1, 0.2. 0.4, 0.6, respectively. (c,d) GH shifts changing with the carrier density ρ (c) and the metamaterial thickness d (d). In the calculation, the frequency of the incident beam is 1 THz.
Fig. 3
Fig. 3 Displacements of two opposite spin components of the transmitted beam X+ (solid lines) and X- (dotted lines) (a), transmission coefficients |tpp| and |tps| (b), and phase difference φ = arg[tpp/|tps] (c) changing with the incident angle, respectively. In the calculation, d = 4.2 μm, n = 0.1, ϕ1 = ϕ2 = 45°.
Fig. 4
Fig. 4 Displacements of two opposite spin components X ± changing with the incident angle θ for the refractive index of ENZ metamaterial n = 0.05, 0.1. 0.2 (a), and for n = 0.1, 0.1 + 0.01i, 0.1 + 0.1i (b), respectively. (c) X ± changing with the metamaterial thickness d for different θ. In the calculation, ϕ1 = ϕ2 = 45°.
Fig. 5
Fig. 5 Displacements X ± as functions of the rotation angle ϕ, where ϕ = ϕ1 = ϕ2·. The other parameters are the same as Fig. 3.
Fig. 6
Fig. 6 Displacements X ± as functions of the incident angle θ for ρ = 0 and 5 × 1017m−2, when d = 0.15 mm, ϕ1 = ϕ2 = 45° (a). X ± changing with the rotation angle ϕ (ϕ = ϕ1 = ϕ2) for θ = 6.21° (b) and 11.50° (c), respectively. The inset in (b) shows the rotation of BP-metamaterial structure. Schematics of barcode encryption based on the asymmetric spin splitting are also shown by choosing the threshold as 0 (b) and 1.8 mm (c), respectively.
Fig. 7
Fig. 7 Displacements X+ (a) and X- (b) as functions the rotation angles ϕ1 and ϕ2 when θ = 14.14°, d = 0.15 mm, ρ = 5 × 1017m−2.
Fig. 8
Fig. 8 Displacements X+ (solid lines) and X- (dotted lines) changing with the rotation angle ϕ2 for different ϕ1 and θ, when d = 0.05 mm, ρ = 5 × 1017m−2.

Equations (19)

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

σ a r m , z i g = ( i D a r m , z i g ) / [ π ( ω + i η / ) ] .
E l = { [ A l k l z e i k j z z -B l k l z e i k l z z ] / k l e ^ x + [ C l e i k l z z -D l e i k l z z ] e ^ y . l = j , j + 1 + [ - A l k lx e i k l z z -B l k l x e i k l z z ] / k l e ^ z } e i k x z
e ^ z × [ E j E j + 1 ] = 0 ,
e ^ z × [ H j H j + 1 ] = σ E j + 1 ,
[ A j B j ] k j z / k j = [ A j + 1 B j + 1 ] k j + 1 , z / k j + 1 ,
C j + D j = C j + 1 + D j + 1 ,
[ C j D j ] k j z / ω μ = [ C j + 1 D j + 1 ] k j + 1 , z / ω μ + σ y y [ C j + 1 + D j + 1 ] + σ y x [ A j + 1 B j + 1 ] k j + 1 , z / k j + 1 ,
[ A j + B j ] k j / ω μ = [ A j + 1 + B j + 1 ] k j + 1 / ω μ + σ x x [ A j + 1 B j + 1 ] k j + 1 , z / k j + 1 + σ y x [ C j + 1 + D j + 1 ] ,
T j , j + 1 = [ k j + 1 / k j + η p + ξ p σ x x k j + 1 / k j η p ξ p σ x x ζ p σ x y ζ p σ x y k j + 1 / k j η p + ξ p σ x x k j + 1 / k j + η p + ξ p σ x x ζ p σ x y ζ p σ x y ζ s σ y x ζ s σ y x 1 + η s + ξ s σ y y 1 η s + ξ s σ y y ζ s σ y x ζ s σ y x 1 η s ξ s σ y y 1 + η s ξ s σ y y ] ,
P j = [ e i k j z d j 0 0 0 0 e i k j z d j 0 0 0 0 e i k j z d j 0 0 0 0 e i k j z d j ] .
[ A 1 B 1 C 1 D 1 ] = M [ A N + 1 B N + 1 C N + 1 D N + 1 ] ,
t p p = A N + 1 A 1 = M 33 M 11 M 33 M 13 M 31 ,
t s p = C N + 1 A 1 = M 31 M 11 M 33 M 13 M 31 ,
t s s = C N + 1 C 1 = M 11 M 11 M 33 M 13 M 31 ,
t p s = A N + 1 C 1 = M 13 M 11 M 33 M 13 M 31 ,
Q = [ t p p + κ x t p p ' κ y Ι t p s + κ x t p s ' + κ y Κ t s p + κ x t s p ' + κ y Κ t s s + κ x t s s ' + κ y Ι ] ,
E ˜ t ± = [ ( t p p + κ x t p p ' κ y Ι ) i ( t s p + κ x t s p ' + κ y Κ ) ] u ˜ 0 | ±
X ± = { Im [ t p p * t p p ' + t s p * t s p ' ] ± Re [ t p p * t s p * t s p * t p p ' ] } / k 0 W ± ,
W ± = | t p p | 2 + | t s p | 2 ± 2 Im | t p p * t s p | + 1 k 0 2 w 0 2 { | t p p ' | 2 + | t s p ' | 2 ± 2 Im | t p p ' * t s p ' | + | Κ | 2 + | Ι | 2 2 Im [ Κ * Ι ] }

Metrics