Quantum spin Hall effect in metamaterials

Long Yang; Ren Jie; Jiang Hai-Tao; Sun Yong; Chen Hong

doi:10.7498/aps.66.227803

Abstract

Quantum spin Hall effect (QSHE) of electrons has improved the development of condensed matter researchnowadays, which describesone kind of spin-dependent quantum transport behavior in solid state. Recently, a variety of theoretical and experimental work has revealed that Maxwell equations, which is formulated 150 years ago and ultimately describeproperties of light, can exhibit an intrinsic quantum spin Hall effect of light. The evanescent wave supported on the interface among different media behaves strong spin-momentum locking. With the rapid development of new optics materials, metamaterials, we can not only adjust the optical parameters of media arbitrarily, but also introduce a lot of complex spin-orbit interaction mechanism. Based on metamaterials, the essential physical mechanism behind quantum spin Hall effect of light can be understood deeply and verified easily. The purpose of this review is to give a brief introduction to quantum spin Hall effect of light in metamaterials. These include, for example, the physical essence of QSHE of light, the topological interface mode between permittivity negative and permeability negative metamaterials, QSHE in topological circuits.

Keywords:

Authors and contacts

1.
Center for Phononics and Thermal Energy Science, School of Physics Science and Engineering, Key Laboratory of Advanced Micro-structure Materials, MOE, Tongji University, Shanghai 200092, China

Corresponding author: Ren Jie, xonics@tongji.edu.cn

Funds: Project supported by National Natural Science Foundation of China (Grant No. 11775159) and the Natural Science Foundation of Shanghai, China (Grant No. 17ZR1443800).

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Cited By

[1]	Thouless D J, Kohmoto M, Nightingale M P, den Nijs M 1982 Phys. Rev. Lett. 49 405
[2]	Sinova J, Culcer D, Niu Q, Sinitsyn N A, Jungwirth T, Macdonald A H 2004 Phys. Rev. Lett. 92 126603
[3]	Murakami S, Nagaosa N, Zhang S C 2003 Science 301 1348
[4]	Kane C L, Mele E J 2005 Phys. Rev. Lett. 95 226801
[5]	Bernevig B A, Hughes T L, Zhang S C 2006 Science 314 1757
[6]	Hasan M Z, Kane C L 2010 Rev. Modern Phys. 82 3045
[7]	Qi X L, Zhang S C 2011 Rev. Modern Phys. 83 1057
[8]	Haldane F D M, Raghu S 2008 Phys. Rev. Lett. 100 013904
[9]	Wang Z, Chong Y, Joannopoulos J D, Soljacic M 2009 Nature 461 772
[10]	Fang K, Yu Z, Fan S 2012 Nature Photon. 6 782
[11]	Khanikaev A B, Mousavi S H, Tse W K, Kargarian M, Macdonald A H, Shvets G 2012 Nature Mater. 12 233
[12]	Lu L, Joannopoulos J D, Soljačić M 2014 Nature Photon. 8 821
[13]	Bliokh K Y, Smirnova D, Nori F 2015 Science 348 1448
[14]	Bliokh K Y, Niv A, Kleiner V, Hasman E 2008 Nature Photon. 2 748
[15]	Belinfante F J 1940 Physica 7 449
[16]	Berry M V 2009 J. Opt. A: Pure and Applied Optics 11 094001
[17]	Bliokh K Y, Dressel J, Nori F 2014 New J. Phys. 16 093037
[18]	Bliokh K Y, Bekshaev A Y, Nori F 2014 Nature Commun 5 3300
[19]	Bekshaev A, Bliokh K Y, Soskin M 2011 J. Opt. 13 053001
[20]	Stone M 2015 Science 348 1432
[21]	Bliokh K Y, Rodríguez-Fortuño F J, Nori F, Zayats A V 2015 Nature Photon. 9 796
[22]	Aiello A, Banzer P, Neugebauer M, Leuchs G 2015 Nature Photon. 9 789
[23]	Bliokh K Y, Nori F 2015 Phys. Reports 592 1
[24]	Van Mechelen T, Jacob Z 2016 Optica 3 118
[25]	Bekshaev A Y, Bliokh K Y, Nori F 2015 Phys. Rev. X 5 011039
[26]	Bliokh K Y, Bekshaev A Y, Nori F 2013 New J. Phys 15 033026
[27]	Petersen J, Volz J, Rauschenbeutel A 2014 Science 346 67
[28]	Rodríguez-Fortuño F J, Marino G, Ginzburg P, O’Connor D, Martínez A, Wurtz G A, Zayats A V 2013 Science 340 328
[29]	Yin X, Ye Z, Rho J, Wang Y, Zhang X 2013 Science 339 1405
[30]	Shitrit N, Yulevich I, Maguid E, Ozeri D, Veksler D, Kleiner V, Hasman E 2013 Science 340 724
[31]	Lin J, Mueller J P B, Wang Q, Yuan G, Antoniou N, Yuan X C, Capasso F 2013 Science 340 331
[32]	Kapitanova P V, Ginzburg P, Rodríguez-Fortuño F J,Filonov D S, Voroshilov P M, Belov P A, Zayats A V 2014 Nature Commun. 5 3226
[33]	Guo Z, Jiang H, Long Y, Yu K, Ren J, Xue C, Chen H 2017 Sci. Reports 7 7742
[34]	Tan W, Sun Y, Chen H, Shen S Q 2014 Sci. Reports 4 3842
[35]	Shi X, Xue C, Jiang H, Chen H 2016 Opt. Express 24 18580
[36]	Silveirinha M G 2015 Phys. Rev. B 92 125153
[37]	Silveirinha M G 2016 Phys. Rev. B 93 075110
[38]	Caloz C, Itoh T 2005 Electromagnetic Metamaterials: Transmission line Theory and Microwave Applications (New York: John Wiley & Sons)
[39]	Weeks C, Franz M 2010 Phys. Rev. B 82 085310
[40]	Goldman N, Urban D F, Bercioux D 2011 Phys. Rev. A 83 063601
[41]	Zhu W W, Hou S S, Long Y, Chen H, Ren J 2017 arXiv:1710.07268 [cond mat.mes hall]
[42]	Mecklenburg M, Regan B C 2011 Phys. Rev. Lett. 106 116803
[43]	Song D, Paltoglou V, Liu S, Zhu Y, Gallardo D, Tang L, Chen Z 2015 Nature Commun. 6 6272
[44]	Ningyuan J, Owens C, Sommer A, Schuster D, Simon J

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Vol. 66, Issue 22 - 2017-11-20

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