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研究了缀饰格子中的量子自旋霍尔效应，模型中同时考虑了Rashba自旋轨道耦合和交换场的作用.缀饰格子具有简立方对称性，以零能平带和单狄拉克锥结构为主要特点.在缀饰格子中，不论是实现量子自旋霍尔效应还是量子反常霍尔效应，都需要一个不为零的内禀自旋轨道耦合作用来打开一个完全的体能隙，这与石墨烯等六角格子模型有着很大的不同.在交换场破坏了时间反演对称性的情况下，以自旋陈数为标志的量子自旋霍尔效应仍然能够存在，边缘态和极化率的相关结果也证明了这一结论.结果表明自旋陈数比z2拓扑数在表征量子自旋霍尔效应方面有着更广泛的适用范围，相应的结论为利用磁场控制量子自旋霍尔效应提出了一个理论模型和依据.
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-
[1] Klitzing K V, Dorda G, Pepper M 1980 Phys. Rev. Lett. 45 494
[2] Tsui D C, Stormer H L, Gossard A C 1982 Phys. Rev. Lett. 48 1559
[3] Kane C L, Mele E J 2005 Phys. Rev. Lett. 95 226801
[4] Zhang H J, Xu Y, Wang J, Chang K, Zhang S C 2014 Phys. Rev. Lett. 112 216803
[5] Miao M S, Yan Q, van de Wall C G, Lou W K, Li L L, Chang K 2012 Phys. Rev. Lett. 109 186803
[6] Zhang D, Lou W K, Miao M S, Zhang S C, Chang K 2013 Phys. Rev. Lett. 111 156402
[7] Hasan M Z, Kane C L 2010 Rev. Mod. Phys. 82 3045
[8] Qi X L, Zhang S C 2010 Physics Today 63 33
[9] Li Z J, Li Q, Chen Z G, Li H B, Fang Y 2014 Chin. Phys. B 23 028102
[10] Thouless D J, Kohmoto M, Nightingale M P, Den Nijs M 1982 Phys. Rev. Lett. 49 405
[11] Kane C L, Mele E J 2005 Phys. Rev. Lett. 95 146802
[12] Bernevig B A, Hughes T L, Zhang S C 2006 Science 314 1757
[13] Konig M, Wiedmann S, Brune C, Roth A, Buthmann H, Molenkamp L W, Qi X L, Zhang S C 2007 Science 318 766
[14] Sheng D N, Weng Z Y, Sheng L, Haldane F D M 2006 Phys. Rev. Lett. 97 036808
[15] Yang Y Y, Xu Z, Sheng L, Wang B G, Xing D Y, Sheng D N 2011 Phys. Rev. Lett. 107 066602
[16] Pradan E 2009 Phys. Rev. B 80 125327
[17] Qiao Z H, Yang S A, Feng W X, Tse W K, Ding J, Yao Y G, Wang J, Niu Q 2010 Phys. Rev. B 82 161414
[18] Haldane F D M 1988 Phys. Rev. Lett. 61 2015
[19] Onoda M, Nagaosa N 2003 Phys. Rev. Lett. 90 206601
[20] Liu C X, Qi X L, Dai X, Fang Z, Zhang S C 2008 Phys. Rev. Lett. 101 146802
[21] Raghu S, Chung S B, Qi X L, Zhang S C 2010 Phys. Rev. Lett. 104 116401
[22] Yu R, Zhang W, Zhang H J, Zhang S C, Dai X, Fang Z 2010 Science 329 61
[23] Wu C 2008 Phys. Rev. Lett. 101 186807
[24] Guo H M, Franz M 2009 Phys. Rev. B 80 113102
[25] Zhang Z Y 2011 J. Phys. Condens. Matter 23 365801
[26] Ishizuka H, Motome Y 2013 Phys. Rev. B 87 081105
[27] Kargarian M, Fiete G A 2010 Phys. Rev. B 82 085106
[28] Chen W C, Liu R, Wang Y F, Gong C D 2012 Phys. Rev. B 86 085311
[29] Ohgushi K, Murakami S, Nagaosa N 2000 Phys. Rev. B 62 R6065
[30] Wang Z, Zhang P 2008 Phys. Rev. B 77 125119
[31] Shen R, Shao L B, Wang B, Xing D Y 2010 Phys. Rev. B 81 041410
[32] Beugeling W, Everts J C, Morais S C 2012 Phys. Rev. B 86 195129
[33] Zhao A, Shen S Q 2012 Phys. Rev. B 85 085209
[34] Weeks C, Franz M 2010 Phys. Rev. B 82 085310
[35] Sun K, Fradkin E 2008 Phys. Rev. B 78 245122
[36] He Y, Moore J, Varma C M 2012 Phys. Rev. B 85 155106
[37] Stanescu T D, Galitski V, Vaishnav J Y, Clark C W, Das Sarma S 2009 Phys. Rev. A 79 053639
[38] Zhu S L, Fu H, Wu C J, Zhang S C, Duan L M 2006 Phys. Rev. Lett. 97 240401
[39] Bloch I, Dalibard J, Zwerger W 2008 Rev. Mod. Phys. 80 885
[40] Goldman N, Urban D F, Bercioux D 2011 Phys. Rev. A 83 063601
[41] Gibertini M, Singha A, Pellegrini V, Polini M, Vignale G, Pinczuk A, Pfeiffer L N, West K W 2009 Phys. Rev. B 79 241406
[42] Zhang C, Tewari S, Lutchyn R M, Das Sarma S 2008 Phys. Rev. Lett. 101 160401
[43] Chosh P, Sau J D, Tewari S, Das Sarma S 2010 Phys. Rev. B 82 184525
[44] Temari S, Sau J D 2012 Phys. Rev. Lett. 109 150408
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