In-plane magnetization-induced quantum anomalous hall effect

Physical Review Letters

Volumn 111, Issue 8, 2013, Pages

  Liu, Xin ^a   Hsu, Hsiu Chuan ^a   Liu, Chao Xing ^a  

^a PENNSYLVANIA STATE UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ANOMALOUS HALL EFFECTS; IN-PLANE MAGNETIZATION; OUT-OF-PLANE; OUT-OF-PLANE MAGNETIC FIELDS; SYMMETRY ANALYSIS; TWO-DIMENSIONAL SYSTEMS;

ELECTRON GAS; MAGNETIC FIELDS; QUANTUM HALL EFFECT; TWO DIMENSIONAL;

MAGNETIZATION;

EID: 84883189691     PISSN: 00319007     EISSN: 10797114     Source Type: Journal    
DOI: 10.1103/PhysRevLett.111.086802     Document Type: Article

References (35)

1. E. H. Hall, Am. J. Math. 2, 287 (1879). AJMAAN 0002-9327 10.2307/2369245
2. E. H. Hall, Philos. Mag. 12, 157 (1881). PHMAA4 0031-8086
3. N. Nagaosa, J. Sinova, S. Onoda, A. H. MacDonald, and N. P. Ong, Rev. Mod. Phys. 82, 1539 (2010). RMPHAT 0034-6861 10.1103/RevModPhys.82.1539
4. K. v. Klitzing, G. Dorda, and M. Pepper, Phys. Rev. Lett. 45, 494 (1980). PRLTAO 0031-9007 10.1103/PhysRevLett.45.494
5. F. D. M. Haldane, Phys. Rev. Lett. 61, 2015 (1988). PRLTAO 0031-9007 10.1103/PhysRevLett.61.2015
6. M. Onoda and N. Nagaosa, Phys. Rev. Lett. 90, 206601 (2003). PRLTAO 0031-9007 10.1103/PhysRevLett.90.206601
7. X. L. Qi, Y. S. Wu, and S. C. Zhang, Phys. Rev. B 74, 045125 (2006). PRBMDO 1098-0121 10.1103/PhysRevB.74.045125
8. C.-X. Liu, X.-L. Qi, X. Dai, Z. Fang, and S.-C. Zhang, Phys. Rev. Lett. 101, 146802 (2008). PRLTAO 0031-9007 10.1103/PhysRevLett.101.146802
9. R. Yu, W. Zhang, H.-J. Zhang, S.-C. Zhang, X. Dai, and Z. Fang, Science 329, 61 (2010). SCIEAS 0036-8075 10.1126/science.1187485
10. H.-J. Zhang, X. Zhang, and S.-C. Zhang, arXiv:1108.4857.
11. C. Wu, Phys. Rev. Lett. 101, 186807 (2008). PRLTAO 0031-9007 10.1103/PhysRevLett.101.186807
12. Z. Qiao, S. A. Yang, W. Feng, W.-K. Tse, J. Ding, Y. Yao, J. Wang, and Q. Niu, Phys. Rev. B 82, 161414 (2010). PRBMDO 1098-0121 10.1103/PhysRevB.82. 161414
13. C.-Z. Chang, J.-S. Zhang, M.-H. Liu, Z.-C. Zhang, X. Feng, K. Li, L.-L. Wang, X. Chen, X. Dai, Z. Fang, X.-L. Qi, S.-C. Zhang, Y. Wang, K. He, X.-C. Ma, and Q.-K. Xue, Adv. Mater. 25, 1065 (2013). ADVMEW 0935-9648 10.1002/adma.201203493
14. D. Zhang, A. Richardella, S. Xu, D. W. Rench, A. Kandala, T. C. Flanagan, H. Beidenkopf, A. L. Yeats, B. B. Buckley, P. V. Klimov, D. D. Awschalom, A. Yazdani, P. Schiffer, M. Z. Hasan, and N. Samarth, Phys. Rev. B 86, 205127 (2012). PRBMDO 1098-0121 10.1103/PhysRevB.86.205127
15. H. Buhmann, J. Liu, Y. S. Gui, V. Daumer, M. Koenig, C. R. Becker, and L. W. Molenkamp, in Physics of Semiconductors - 2002, Proceedings of the 15th International Conference on High Magnetic Fields in Semiconductor Physics, Oxford, 2002, edited by, A. R. Long, and, J. H. Davies, IOP Conf. Proc. No. 171 (Institute of Physics, Bristol, 2003).
16. Y. Zhang and C. Zhang, Phys. Rev. B 84, 085123 (2011). PRBMDO 1098-0121 10.1103/PhysRevB.84.085123
17. C. Fang, M. J. Gilbert, and B. A. Bernevig, Phys. Rev. B 86, 115112 (2012). PRBMDO 1098-0121 10.1103/PhysRevB.86.115112
18. M. S. Dresselhaus, G. Dresselhaus, and A. Jorio, Group Theory: Application to the Physics of Condensed Matter (Springer, New York, 2008).
19. L. Fu, Phys. Rev. Lett. 103, 266801 (2009). PRLTAO 0031-9007 10.1103/PhysRevLett.103.266801
20. C.-X. Liu, X.-L. Qi, H. J. Zhang, X. Dai, Z. Fang, and S.-C. Zhang, Phys. Rev. B 82, 045122 (2010). PRBMDO 1098-0121 10.1103/PhysRevB.82.045122
21. J. Henk, M. Flieger, I. V. Maznichenko, I. Mertig, A. Ernst, S. V. Eremeev, and E. V. Chulkov, Phys. Rev. Lett. 109, 076801 (2012). PRLTAO 0031-9007 10.1103/PhysRevLett.109.076801
22. L. Oroszlány and A. Cortijo, Phys. Rev. B 86, 195427 (2012). PRBMDO 1098-0121 10.1103/PhysRevB.86.195427
23. D. J. Thouless, M. Kohmoto, M. P. Nightingale, and M. den Nijs, Phys. Rev. Lett. 49, 405 (1982). PRLTAO 0031-9007 10.1103/PhysRevLett.49.405
24. N. A. Sinitsyn, J. E. Hill, H. Min, J. Sinova, and A. H. MacDonald, Phys. Rev. Lett. 97, 106804 (2006). PRLTAO 0031-9007 10.1103/PhysRevLett.97.106804
25. B. A. Bernevig, T. L. Hughes, and S. C. Zhang, Science 314, 1757 (2006). SCIEAS 0036-8075 10.1126/science.1133734
26. W. Beugeling, C. X. Liu, E. G. Novik, L. W. Molenkamp, and C. Morais Smith, Phys. Rev. B 85, 195304 (2012). PRBMDO 1098-0121 10.1103/PhysRevB.85. 195304
27. C.-X. Liu, X.-L. Qi, X. Dai, Z. Fang, and S.-C. Zhang, Phys. Rev. Lett. 101, 146802 (2008). PRLTAO 0031-9007 10.1103/PhysRevLett.101.146802
28. E. G. Novik, A. Pfeuffer-Jeschke, T. Jungwirth, V. Latussek, C. R. Becker, G. Landwehr, H. Buhmann, and L. W. Molenkamp, Phys. Rev. B 72, 035321 (2005). PRBMDO 1098-0121 10.1103/PhysRevB.72.035321
29. See Supplemental Material at http://link.aps.org/supplemental/10.1103/ PhysRevLett.111.086802 for the derivation of effective Hamiltonian for HgMnTe quantum wells with shear strain.
30. M. Li, C. R. Becker, R. Gall, W. Faschinger, and G. Landwehr, Appl. Phys. Lett. 71, 1822 (1997). APPLAB 0003-6951 10.1063/1.119410
31. S. Hatch, R. Sewell, J. Dell, L. Faraone, C. Becker, and B. Usher, J. Electron. Mater. 35, 1481 (2006). JECMA5 0361-5235 10.1007/s11664-006-0288-5
32. M. Li, R. Gall, C. R. Becker, T. Gerhard, W. Faschinger, and G. Landwehr, J. Appl. Phys. 82, 4860 (1997). JAPIAU 0021-8979 10.1063/1.366399
33. T. Kasuya and D. X. Li, J. Magn. Magn. Mater. 167, L1 (1997). JMMMDC 0304-8853 10.1016/S0304-8853(96)00737-8
34. P. G. Steeneken, L. H. Tjeng, I. Elfimov, G. A. Sawatzky, G. Ghiringhelli, N. B. Brookes, and D.-J. Huang, Phys. Rev. Lett. 88, 047201 (2002). PRLTAO 0031-9007 10.1103/PhysRevLett.88.047201
35. T. S. Santos, J. S. Moodera, K. V. Raman, E. Negusse, J. Holroyd, J. Dvorak, M. Liberati, Y. U. Idzerda, and E. Arenholz, Phys. Rev. Lett. 101, 147201 (2008). PRLTAO 0031-9007 10.1103/PhysRevLett.101.147201