Quantum Anomalous Hall Effect and Quantum Spin Hall Effect

  • Shun-Qing ShenEmail author
Part of the Springer Series in Solid-State Sciences book series (SSSOL, volume 187)


A quantum anomalous Hall system possesses chiral edge states around its boundary, giving rise to quantized Hall conductance even in the absence of external magnetic field. Quantum spin Hall effect is a spin version of quantum Hall effect. A quantum spin Hall system possesses a pair of helical edge states, in which an electric current can induce a transverse spin current or a spin accumulation near the system boundary. It is also called two-dimensional topological insulator.


  1. 1.
    F.D.M. Haldane, Phys. Rev. Lett. 61, 2015 (1988)ADSCrossRefGoogle Scholar
  2. 2.
    P. Strda, J. Phys. C 15, L717 (1982)ADSCrossRefGoogle Scholar
  3. 3.
    C.Z. Chang, J. Zhang, X. Feng, J. Shen, Z. Zhang, M. Guo, K. Li, Y. Ou, P. Wei, L.L. Wang, Z.Q. Ji, Y. Feng, S. Ji, X. Chen, J. Jia, X. Dai, Z. Fang, S.C. Zhang, K. He, Y. Wang, L. Lu, X.C. Ma, Q.K. Xue, Science 340, 167 (2013)ADSCrossRefGoogle Scholar
  4. 4.
    R. Yu, W. Zhang, H.J. Zhang, S.C. Zhang, X. Dai, Z. Fang, Science 329, 61 (2010)ADSCrossRefGoogle Scholar
  5. 5.
    H.Z. Lu, W.Y. Shan, W. Yao, Q. Niu, S.Q. Shen, Phys. Rev. B 81, 115407 (2010)ADSCrossRefGoogle Scholar
  6. 6.
    W.Y. Shan, H.Z. Lu, S.Q. Shen, New J. Phys. 12, 043048 (2010)ADSCrossRefGoogle Scholar
  7. 7.
    H.Z. Lu, A. Zhao, S.Q. Shen, Phys. Rev. Lett. 111, 146802 (2013)ADSCrossRefGoogle Scholar
  8. 8.
    C.L. Kane, E.J. Mele, Phys. Rev. Lett. 95, 226801 (2005)ADSCrossRefGoogle Scholar
  9. 9.
    D.N. Sheng, Z.Y. Weng, L. Sheng, F.D.M. Haldane, Phys. Rev. Lett. 97, 036808 (2006)ADSCrossRefGoogle Scholar
  10. 10.
    R. Landauer, IBM J. Res. Dev. 1, 223 (1957)MathSciNetCrossRefGoogle Scholar
  11. 11.
    R. Landauer, Philos. Mag. 21, 863 (1970)ADSCrossRefGoogle Scholar
  12. 12.
    M. Büttiker, Phys. Rev. Lett. 57, 1761 (1986)ADSCrossRefGoogle Scholar
  13. 13.
    M. Büttiker, IBM J. Res. Dev. 32, 317 (1988)CrossRefGoogle Scholar
  14. 14.
    D.F. Li, J.R. Shi, Phys. Rev. B 79, 241303(R) (2009)ADSCrossRefGoogle Scholar
  15. 15.
    C.W.J. Beenakker, Rev. Mod. Phys. 69, 731 (1997)ADSCrossRefGoogle Scholar
  16. 16.
    B. Zhou, H.Z. Lu, R.L. Chu, S.Q. Shen, Q. Niu, Phys. Rev. Lett. 101, 246807 (2008)ADSCrossRefGoogle Scholar
  17. 17.
    B.A. Bernevig, T.L. Hughes, S.C. Zhang, Science 314, 1757 (2006)ADSCrossRefGoogle Scholar
  18. 18.
    M. Konig, S. Wiedmann, C. Brne, A. Roth, H. Buhmann, L.W. Molenkamp, X.L. Qi, S.C. Zhang, Science 318, 766 (2007)ADSCrossRefGoogle Scholar
  19. 19.
    E.G. Novik, A. Pfeuffer-Jeschke, T. Jungwirth, V. Latussek, C.R. Becker, G. Landwehr, H. Buhmann, L.W. Molenkamp, Phys. Rev. B 72, 035321 (2005)ADSCrossRefGoogle Scholar
  20. 20.
    R.L. Chu, W.Y. Shan, J. Lu, S.Q. Shen, Phys. Rev. B 83, 075110 (2011)ADSCrossRefGoogle Scholar
  21. 21.
    A. Pfeuffer-Jeschke, PhD thesis, University of Wurzburg (2000)Google Scholar
  22. 22.
    A. Roth, C. Brne, H. Buhmann, L.W. Molenkamp, J. Maciejko, X.L. Qi, S.C. Zhang, Science 325, 294 (2009)ADSCrossRefGoogle Scholar
  23. 23.
    C.X. Liu, T.L. Hughes, X.L. Qi, K. Wang, S.C. Zhang, Phys. Rev. Lett. 100, 236601 (2008)ADSCrossRefGoogle Scholar
  24. 24.
    I. Knez, R.R. Du, G. Sullivan, Phys. Rev. Lett. 107, 136603 (2011)ADSCrossRefGoogle Scholar
  25. 25.
    L.J. Du, I. Knez, G. Sullivan, R.R. Du, Phys. Rev. Lett. 11, 096802 (2015)ADSCrossRefGoogle Scholar
  26. 26.
    E. Spanton, K. Nowack, L.J. Du, G. Sullivan, R.R. Du, K. Moler, Phys. Rev. Lett. 113, 026804 (2014)ADSCrossRefGoogle Scholar
  27. 27.
    E.Y. Ma, M.R. Calvo, J. Wang, B. Lian, M. Muhlbauer, C. Brune, Y.T. Cui, K.J. Lai, W. Kundhikanjana, Y.L. Yang, M. Baenninger, M. Konig, C. Ames, H. Buhmann, P. Leubner, L.W. Molenkampt, S.C. Zhang, D. Goldhaber-Gordon, M.A. Kelly, Z.X. Shen, Nat. Commun. 6, 7252 (2015)CrossRefGoogle Scholar
  28. 28.
    M. Büttiker, Science 325, 278 (2009)CrossRefGoogle Scholar
  29. 29.
    U. Sivan, Y. Imry, C. Hartzstein, Phys. Rev. B 39, 1242 (1989)ADSCrossRefGoogle Scholar
  30. 30.
    S. Datta, Electronic Transport in Mesoscopic Systems (Cambridge University Press, Cambridge, 1995)CrossRefGoogle Scholar
  31. 31.
    M. Büttiker, Phys. Rev. B 38, 9375 (1988)ADSCrossRefGoogle Scholar
  32. 32.
    R.L. Chu, J. Li, J.K. Jain, S.Q. Shen, Phys. Rev. B 80, 081102(R) (2009)ADSCrossRefGoogle Scholar

Copyright information

© Springer Nature Singapore Pte Ltd. 2017

Authors and Affiliations

  1. 1.Department of PhysicsThe University of Hong KongHong KongChina

Personalised recommendations