Transport discovery of emerging robust helical surface states in Z2=0 systems

Physical Review Letters

Volumn 112, Issue 17, 2014, Pages

  Jiang, Hua ^a   Liu, Haiwen ^b,c   Feng, Ji ^b,c   Sun, Qingfeng ^b,c   Xie, X C ^b,c  

^a SOOCHOW UNIVERSITY   (China)

^b PEKING UNIVERSITY   (China)

^c Collaborative Innovation Center of Quantum Matter ^*  (China)

Author keywords

[No Author keywords available]

Indexed keywords

ANISOTROPY; SAMPLING;

1 PHASE; EDGE STATE; EFFECTIVE ENERGY; FINITE SAMPLES; HELICAL STATE; HELICAL SURFACES; NONMAGNETICS; REALISTIC MATERIALS;

SURFACE STATES;

EID: 84899798282     PISSN: 00319007     EISSN: 10797114     Source Type: Journal    
DOI: 10.1103/PhysRevLett.112.176601     Document Type: Article

References (57)

1. For recent reviews, see M.Z. Hasan and C.L. Kane, Rev. Mod. Phys. 82, 3045 (2010); RMPHAT 0034-6861 10.1103/RevModPhys.82.3045
2. X.-L. Qi and S.-C. Zhang, Rev. Mod. Phys. 83, 1057 (2011); RMPHAT 0034-6861 10.1103/RevModPhys.83.1057
3. Y. Ando, J. Phys. Soc. Jpn. 82, 102001 (2013). JUPSAU 0031-9015 10.7566/JPSJ.82.102001
4. C.L. Kane and E.J. Mele, Phys. Rev. Lett. 95, 226801 (2005); PRLTAO 0031-9007 10.1103/PhysRevLett.95.226801
5. C.L. Kane and E.J. Mele Phys. Rev. Lett. 95, 146802 (2005). PRLTAO 0031-9007 10.1103/PhysRevLett.95.146802
6. M. König, S. Wiedmann, and C. Brüne, A. Roth, H. Buhmann, L.W. Molenkamp, X.-L. Qi, and S.-C. Zhang, Science 318, 766 (2007). SCIEAS 0036-8075 10.1126/science.1148047
7. A. Roth, C. Brune, H. Buhmann, L.W. Molenkamp, J. Maciejko, X.-L. Qi, and S.-C. Zhang, Science 325, 294 (2009). SCIEAS 0036-8075 10.1126/science.1174736
8. L.J. Du, I. Knez, G. Sullivan, and R.-R. Du, arXiv:1306.1925.
9. C. Brüne, A. Roth, H. Buhmann, E.M. Hankiewicz, L.W. Molenkamp, J. Maciejko, X.-L. Qi, and S.-C. Zhang, Nat. Phys. 8 486 (2012). NPAHAX 1745-2473 10.1038/nphys2322
10. H.-J. Zhang, C.-X. Liu, X.-L. Qi, X. Dai, Z. Fang, and S.-C. Zhang, Nat. Phys. 5, 438 (2009). NPAHAX 1745-2473 10.1038/nphys1270
11. D. Hsieh, Y. Xia, L. Wray, Science, 323, 919 (2009). SCIEAS 0036-8075 10.1126/science.1167733
12. T. Hanaguri, K. Igarashi, M. Kawamura, H. Takagi, and T. Sasagawa, Phys. Rev. B 82, 081305(R) (2010). PRBMDO 1098-0121 10.1103/PhysRevB.82.081305
13. J. Chen, H.J. Qin, F. Yang, Phys. Rev. Lett. 105, 176602 (2010). PRLTAO 0031-9007 10.1103/PhysRevLett.105.176602
14. P. Roushan, J. Seo, C.V. Parker, Y.S. Hor, D. Hsieh, D. Qian, A. Richardella, M.Z. Hasan, R.J. Cava, and A. Yazdani, Nature (London) 460, 1106 (2009). NATUAS 0028-0836 10.1038/nature08308
15. L. Fu, and C.L. Kane, Phys. Rev. B 76, 045302 (2007); PRBMDO 1098-0121 10.1103/PhysRevB.76.045302
16. L. Fu, C.L. Kane, and E.J. Mele, Phys. Rev. Lett. 98, 106803 (2007). PRLTAO 0031-9007 10.1103/PhysRevLett.98.106803
17. B.H. Yan, L. Müchler, and C. Felser, Phys. Rev. Lett. 109, 116406 (2012). PRLTAO 0031-9007 10.1103/PhysRevLett.109.116406
18. P.Z. Tang, B.H. Yan, W.D. Cao, S.-C. Wu, C. Felser, and W.H. Duan, Phys. Rev. B 89, 041409(R) (2014). PRBMDO 1098-0121 10.1103/PhysRevB.89.041409
19. G. Yang, J.W. Liu, L. Fu, W.H. Duan, and C.X. Liu, Phys. Rev. B 89, 085312 (2014). PRBMDO 1098-0121 10.1103/PhysRevB.89.085312
20. X. Li, F. Zhang, Q. Niu, and Ji Feng, arXiv:1310.6598.
21. L. Fu, Phys. Rev. Lett. 106, 106802 (2011). PRLTAO 0031-9007 10.1103/PhysRevLett.106.106802
22. T.H. Hsieh, H. Lin, Nat. Commun. 3, 982 (2012). NCAOBW 2041-1723 10.1038/ncomms1969
23. R. Buczko and Ł. Cywiński, Phys. Rev. B 85, 205319 (2012). PRBMDO 1098-0121 10.1103/PhysRevB.85.205319
24. S.-Y. Xu, C. Liu, and N. Alidoust, Nat. Commun. 3, 1192 (2012). NCAOBW 2041-1723 10.1038/ncomms2191
25. Y. Tanaka, Z. Ren, T. Sato, K. Nakayama, S. Souma, T. Takahashi, K. Segawa, and Y. Ando, Nat. Phys. 8, 800 (2012). NPAHAX 1745-2473 10.1038/nphys2442
26. P. Dziawa, B.J. Kowalski, Nat. Mater., 11, 1023 (2012). NMAACR 1476-1122 10.1038/nmat3449
27. B. Rasche, A. Isaeva, M. Ruck, S. Borisenko, V. Zabolotnyy, B. Büchner, K. Koepernik, C. Ortix, M. Richter, and J. van den Brink, Nat. Mater. 12, 422 (2013). NMAACR 1476-1122 10.1038/nmat3570
28. B.A. Bernevig, T.L. Hughes, and S.-C. Zhang, Science 314, 1757 (2006). SCIEAS 0036-8075 10.1126/science.1133734
29. X.-L. Qi, Y.S. Wu, and S.-C. Zhang, Phys. Rev. B 74, 085308 (2006). PRBMDO 1098-0121 10.1103/PhysRevB.74.085308
30. See the Supplemental Material at http://link.aps.org/supplemental/10. 1103/PhysRevLett.112.176601, which includes Refs. [27-29] for details.
31. D.N. Sheng, Z.Y. Weng, L. Sheng, and F.D.M. Haldane, Phys. Rev. Lett. 97, 036808 (2006); PRLTAO 0031-9007 10.1103/PhysRevLett.97.036808
32. 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
33. M. Kohmoto, Ann. Phys. (N.Y.) 160, 343 (1985). APNYA6 0003-4916 10.1016/0003-4916(85)90148-4
34. C.W. Groth, M. Wimmer, A.R. Akhmerov, J. Tworzydło, and C.W.J. Beenakker, Phys. Rev. Lett. 103, 196805 (2009); PRLTAO 0031-9007 10.1103/PhysRevLett.103.196805
35. J.T. Song, H.W. Liu, H. Jiang, Q.-F. Sun, and X.C. Xie, Phys. Rev. B 85, 195125 (2012). PRBMDO 1098-0121 10.1103/PhysRevB.85.195125
36. A. MacKinnon and B. Kramer, Phys. Rev. Lett. 47, 1546 (1981). PRLTAO 0031-9007 10.1103/PhysRevLett.47.1546
37. B. Zhou, H.-Z Lu, R.-L. Chu, S.-Q. Shen, and Q. Niu, Phys. Rev. Lett. 101, 246807 (2008); PRLTAO 0031-9007 10.1103/PhysRevLett.101.246807
38. H.-Z. Lu, W.-Y Shan, W. Yao, Q. Niu, and S.-Q. Shen, Phys. Rev. B 81, 115407 (2010). PRBMDO 1098-0121 10.1103/PhysRevB.81.115407
39. Y. Zhang, K. He, C.-Z. Chang, C.-L. Song, Nat. Phys. 6 584 (2010); NPAHAX 1745-2473 10.1038/nphys1689
40. A.A. Taskin, S. Sasaki, K. Segawa, and Y. Ando, Phys. Rev. Lett. 109, 066803 (2012). PRLTAO 0031-9007 10.1103/PhysRevLett.109.066803
41. S. Datta, Electronic Transport in Mesoscopic Systems (Cambridge University Press, Cambridge, England, 1995).
42. H. Jiang, L. Wang, Q.-F. Sun, and X.C. Xie, Phys. Rev. B 80, 165316 (2009). PRBMDO 1098-0121 10.1103/PhysRevB.80.165316
43. H. Jiang, Z.H. Qiao, H.W. Liu, J.-R. Shi, and Q. Niu, Phys. Rev. Lett. 109, 116803 (2012). PRLTAO 0031-9007 10.1103/PhysRevLett.109.116803
44. K.-I. Imura, M. Okamoto, Y. Yoshimura, Y. Takane, and T. Ohtsuki, Phys. Rev. B 86, 245436 (2012). PRBMDO 1098-0121 10.1103/PhysRevB.86.245436
45. R.S.K. Mong, J.H. Bardarson, and J.E. Moore, Phys. Rev. Lett. 108, 076804 (2012). PRLTAO 0031-9007 10.1103/PhysRevLett.108.076804
46. Z. Ringel, Y.E. Kraus, and A. Stern, Phys. Rev. B 86, 045102 (2012). PRBMDO 1098-0121 10.1103/PhysRevB.86.045102
47. K. Kobayashi, T. Ohtsuki, and K.-I. Imura, Phys. Rev. Lett. 110, 236803 (2013). PRLTAO 0031-9007 10.1103/PhysRevLett.110.236803
48. Y. Yoshimura, A. Matsumoto, Y. Takane, and K.-I. Imura, Phys. Rev. B 88, 045408 (2013). PRBMDO 1098-0121 10.1103/PhysRevB.88.045408
49. 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
50. A. Rycerz, J. Tworzydło, and C.W.J. Beenakker, Nat. Phys. 3, 172 (2007). NPAHAX 1745-2473 10.1038/nphys547
51. D. Xiao, W. Yao, and Q. Niu, Phys. Rev. Lett. 99, 236809 (2007). PRLTAO 0031-9007 10.1103/PhysRevLett.99.236809
52. T. Cao, G. Wang, W.P. Han, Nat. Commun. 3, 887 (2012); NCAOBW 2041-1723 10.1038/ncomms1882
53. D. Xiao, G.B. Liu, W.X. Feng, X.D. Xu, and W Yao, Phys. Rev. Lett. 108, 196802 (2012); PRLTAO 0031-9007 10.1103/PhysRevLett.108.196802
54. K.F. Mak, K. He, J. Shan, and T.F. Heinz, Nat. Nanotechnol. 7, 494 (2012). NNAABX 1748-3387 10.1038/nnano.2012.96
55. J. Isberg, M. Gabrysch, J. Hammersberg, S. Majdi, K.K. Kovi, and D.J. Twitchen, Nat. Mater. 12, 760 (2013). NMAACR 1476-1122 10.1038/nmat3694
56. H. Jiang, M. Wu, X. Li (to be published).
57. K. Zhu, L. Wu, X.X. Gong, S.H. Xiao, arXiv:1403.0066v1.