Quantum Spin-Hall Effect and Topologically Invariant Chern Numbers

作者: D. N. Sheng , Z. Y. Weng , L. Sheng , F. D. M. Haldane

DOI: 10.1103/PHYSREVLETT.97.036808

关键词:

摘要: … By using the Laughlin gedanken experiment, we numerically calculate the spin polarization … , and an open boundary condition is used in the ^x direction. Since the boundary phase y …

参考文章(20)
Congjun Wu, B. Andrei Bernevig, Shou-Cheng Zhang, Helical liquid and the edge of quantum spin hall systems Physical Review Letters. ,vol. 96, pp. 106401- ,(2006) , 10.1103/PHYSREVLETT.96.106401
Daniel P. Arovas, R. N. Bhatt, F. D. M. Haldane, P. B. Littlewood, R. Rammal, Localization, wave-function topology, and the integer quantized Hall effect. Physical Review Letters. ,vol. 60, pp. 619- 622 ,(1988) , 10.1103/PHYSREVLETT.60.619
C. L. Kane, E. J. Mele, Quantum spin Hall effect in graphene Physical Review Letters. ,vol. 95, pp. 226801- 226801 ,(2005) , 10.1103/PHYSREVLETT.95.226801
L. Sheng, D. N. Sheng, C. S. Ting, F. D. M. Haldane, Nondissipative Spin Hall Effect via Quantized Edge Transport Physical Review Letters. ,vol. 95, pp. 136602- ,(2005) , 10.1103/PHYSREVLETT.95.136602
D. J. Thouless, M. Kohmoto, M. P. Nightingale, M. den Nijs, Quantized Hall Conductance in a Two-Dimensional Periodic Potential Physical Review Letters. ,vol. 49, pp. 405- 408 ,(1992) , 10.1103/PHYSREVLETT.49.405
Jairo Sinova, Dimitrie Culcer, Q. Niu, N. A. Sinitsyn, T. Jungwirth, A. H. MacDonald, Universal intrinsic spin Hall effect. Physical Review Letters. ,vol. 92, pp. 126603- ,(2004) , 10.1103/PHYSREVLETT.92.126603
Kostya S Novoselov, Andre K Geim, Sergei V Morozov, De-eng Jiang, Yanshui Zhang, Sergey V Dubonos, Irina V Grigorieva, Alexandr A Firsov, Electric Field Effect in Atomically Thin Carbon Films Science. ,vol. 306, pp. 666- 669 ,(2004) , 10.1126/SCIENCE.1102896