Thouless D J,Kohmoto M,Nightingale M P et al. Phys. Rev. Lett.,1982,49:405
|
Hofstadter D R. Phys. Rev. B,1976,14:2239
|
Thouless D J,Niu Q. J. Phys. A:Math. Gen.,1983,16:1911
|
Berry M V. A. Mathematical and Physical Sciences,1997,392:45
|
Avron J E,Osadchy D,Seiler R. Physics Today,2003,56:38
|
Onsager L. The London, Edinburgh, and Dublin Philosophical Magazine and Journal of Science,1952,43:1006
|
Gao Y,Niu Q. Proceedings of the National Academy of Sciences, 2017,114:7295
|
Chang M C,Niu Q. Phys. Rev. B,1996,53:7010
|
Chang M C,Niu Q. Phys. Rev. Lett.,1995,75:1348
|
Reich S,Maultzsch J,Thomsen C et al. Phys. Rev. B,2002,66: 035412
|
Zhang Y,Tan Y W,Stormer H L et al. Nature,2005,438:201
|
Semenoff G W. Phys. Rev. Lett.,1984,53:2449
|
Haldane F D M. Phys. Rev. Lett.,1988,61:2015
|
Kane C L,Mele E J. Phys. Rev. Lett.,2005,95:226801
|
Kane C L,Mele E J. Phys. Rev. Lett.,2005,95:146802
|
Xiao D,Yao W,Niu Q. Phys. Rev. Lett.,2007,99:236809
|
Yao W,Xiao D,Niu Q. Phys. Rev. B,2008,77:235406
|
Cao T,Wang G,Han W et al. Nat. Commun.,2012,3:887
|
Xiao D,Liu G B,Feng W et al. Phys. Rev. Lett.,2012,108: 196802
|
Qiao Z,Yang S A,Feng W et al. Phys. Rev. B,2010,82:161414
|
Tang C,Cheng B,Aldosary M et al. APL Materials,2017,6: 026401
|
Deng Y,Yu Y,Shi M Z et al. Science,2020,367:895
|
Castro E V,Novoselov K S,Morozov S V et al. Phys. Rev. Lett., 2007,99:216802
|
Qiao Z,Tse W K,Jiang H et al. Phys. Rev. Lett.,2011,107: 256801
|
Zhang F,MacDonald A H. Phys. Rev. Lett.,2012,108:186804
|
Sha Y,Zheng J,Liu K et al. Science,2024,384:414
|
Bistritzer R,MacDonald A H. Proceedings of the National Academy of Sciences,2011,108:12233
|
Cao Y,Fatemi V,Fang S et al. Nature,2018,556:43
|
Lu X,Stepanov P,Yang W et al. Nature,2019,574:653
|
Nuckolls K P,Oh M,Wong D et al. Nature,2020,588:610
|
Volovik G E. The Universe in a Helium Droplet. Oxford University Press,2009
|
Kane E O. Chapter 3,The k·p Method. In:Willardson R K,Beer A C ed. Semiconductors and Semimetals,Vol. 1. Elsevier,1966. pp.75—100
|
Jungwirth T,Niu Q,MacDonald A H. Phys. Rev. Lett.,2002,88: 207208
|
Murakami S,Nagaosa N,Zhang S C. Science,2003,301:1348
|
Bernevig B A,Hughes T L,Zhang S C. Science,2006,314:1757
|
Shen S Q. Topological Insulators: Dirac Equation in Condensed Matter,Vol. 187. Singapore:Springer,2017
|
Qi X L,Wu Y S,Zhang S C. Phys. Rev. B,2006,74:085308
|
Zhang H,Liu C X,Qi X L et al. Nature Phys,2009,5:438
|
Zhou B,Lu H Z,Chu R L et al. Phys. Rev. Lett.,2008,101: 246807
|
Lu H Z,Shan W Y,Yao W et al. Phys. Rev. B,2010,81:115407
|
Fradkin E,Dagotto E,Boyanovsky D. Phys. Rev. Lett.,1986, 57:2967
|
Yao W,Yang S A,Niu Q. Phys. Rev. Lett.,2009,102:096801
|
Martin I,Blanter Y M,Morpurgo A F. Phys. Rev. Lett.,2008, 100:036804
|
Qiao Z,Jung J,Niu Q et al. Nano Lett.,2011,11:3453
|
Qiao Z,Jung J,Lin C et al. Phys. Rev. Lett.,2014,112:206601
|
Fu L,Kane C L,Mele E J. Phys. Rev. Lett.,2007,98:106803
|
Schindler F,Cook A M,Vergniory M G et al. Science Advances, 2018,4:eaat0346
|
Liu Z,Qiao Z,Gao Y et al. Phys. Rev. Res.,2024,6:L012005
|
Ren Y,Qiao Z,Niu Q. Phys. Rev. Lett.,2020,124:166804
|
Wan X,Turner A M,Vishwanath A et al. Phys. Rev. B,2011,83: 205101
|
Zhou J H,Jiang H,Niu Q et al. Chinese Phys. Lett.,2013,30: 027101
|
Fu B,Zou J Y,Hu Z A et al. Npj Quantum Mater.,2022,7:1
|
King-Smith R D,Vanderbilt D. Phys. Rev. B,1993,47:1651
|
Marzari N,Mostofi A A,Yates J R et al. Rev. Mod. Phys.,2012, 84:1419
|
Fang Z,Nagaosa N,Takahashi K S et al. Science,2003,302:92
|
Yao Y,Kleinman L,MacDonald A H et al. Phys. Rev. Lett., 2004,92:037204
|
Wang X,Yates J R,Souza I et al. Phys. Rev. B,2006,74:195118
|
Chen H,Niu Q,MacDonald A H. Phys. Rev. Lett.,2014,112: 017205
|
Ren Y,Zeng J,Deng X et al. Phys. Rev. B,2016,94:085411
|
Lowitzer S,Ködderitzsch D,Ebert H. Phys. Rev. Lett.,2010, 105:266604
|
Weischenberg J,Freimuth F,Sinova J et al. Phys. Rev. Lett., 2011,107:106601
|
Xiao D,Shi J,Niu Q. Phys. Rev. Lett.,2005,95:137204
|
Thonhauser T,Ceresoli D,Vanderbilt D et al. Phys. Rev. Lett., 2005,95:137205
|
Shi J ,Vignale G ,Xiao D et al. Phys. Rev. Lett. ,2007,99: 197202
|
Chen H,Wang T C,Xiao D et al. Phys. Rev. B,2020,101: 104418
|
Culcer D,Sinova J,Sinitsyn N A et al. Phys. Rev. Lett.,2004, 93:046602
|
Guo G Y,Yao Y,Niu Q. Phys. Rev. Lett.,2005,94:226601
|
Yao Y,Fang Z. Phys. Rev. Lett.,2005,95:156601
|
Guo G Y,Niu Q,Nagaosa N. Phys. Rev. B,2014,89:214406
|
Fu L,Kane C L. Phys. Rev. B,2006,74:195312
|
Xiao D,Yao Y,Feng W et al. Phys. Rev. Lett.,2010,105: 096404
|
Gresch D,Autès G,Yazyev O V et al. Phys. Rev. B,2017,95: 075146
|
Essin A M,Moore J E,Vanderbilt D. Phys. Rev. Lett.,2009,102: 146805
|
Wang Z,Sun Y,Chen X Q et al. Phys. Rev. B,2012,85:195320
|
Wray L A,Xu S Y,Xia Y et al. Nature Phys.,2011,7:32
|
Nomura K ,Koshino M ,Ryu S. Phys. Rev. Lett. ,2007,99: 146806
|
Khmel’nitskii D E. JETP Letters,1983,38:552
|
Laughlin R B. Phys. Rev. Lett.,1984,52:2304
|
Liu D Z,Xie X C,Niu Q. Phys. Rev. Lett.,1996,76:975
|
Sheng D N,Weng Z Y. Phys. Rev. Lett.,1997,78:318
|
Qiao Z,Han Y,Zhang L et al. Phys. Rev. Lett.,2016,117: 056802
|
Sheng D N,Weng Z Y,Sheng L et al. Phys. Rev. Lett.,2006,97: 036808
|
Onoda M,Avishai Y,Nagaosa N. Phys. Rev. Lett.,2007,98: 076802
|
Jiang H,Qiao Z,Liu H et al. Phys. Rev. Lett.,2012,109:116803
|
Li J,Chu R L,Jain J K et al. Phys. Rev. Lett.,2009,102:136806
|
Groth C W,Wimmer M,Akhmerov A R et al. Phys. Rev. Lett., 2009,103:196805
|
Dean C R,Wang L,Maher P et al. Nature,2013,497:598
|
Hunt B,Sanchez-Yamagishi J D,Young A F et al. Science,2013, 340:1427
|
Wang J,He J J,Niu Q. Fractional Stark Ladders and Novel Quantum Dynamics of Space-Time SSH Lattices,https://arxiv.org/abs/2409.13260v1
|
Ren Y,Qiao Z,Niu Q. Rep. Prog. Phys.,2016,79:066501
|
Ozawa T,Price H M,Amo A et al. Rev. Mod. Phys.,2019,91: 015006
|
Zhu W,Deng W,Liu Y et al. Rep. Prog. Phys.,2023,86:106501
|
Yu Z M,Zhang Z,Liu G B et al. Science Bulletin,2022,67:375
|
Chang M C,Niu Q. J. Phys.: Condens. Matter,2008,20:193202
|
Xiong G,Wang S D,Niu Q et al. EPL,2008,82:47008
|
Haldane F D M. Phys. Rev. Lett.,2004,93:206602
|
Volovik G E. Jetp Lett.,2010,91:55
|
Zhao J,Mai P,Bradlyn B et al. Phys. Rev. Lett.,2023,131: 106601
|
Gavensky L P,Sachdev S,Goldman N. Phys. Rev. Lett.,2023, 131:236601
|
Ren Y,Xiao C,Saparov D et al. Phys. Rev. Lett.,2021,127: 186403
|
Trifunovic L,Ono S,Watanabe H. Phys. Rev. B,2019,100: 054408
|