Topological order in a correlated three-dimensional topological insulator

Physical Review Letters

Volumn 112, Issue 1, 2014, Pages

  Maciejko, Joseph ^a   Chua, Victor ^b   Fiete, Gregory A ^b  

^a PRINCETON UNIVERSITY   (United States)

^b UNIVERSITY OF TEXAS AT AUSTIN   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EFFECTIVE FIELD THEORY; INTERACTING FERMIONS; MAGNETOELECTRIC RESPONSE; PYROCHLORE LATTICES; SPIN-ORBIT COUPLINGS; TIME REVERSAL SYMMETRIES; TOPOLOGICAL INSULATORS; TRANSITION-METAL OXIDES;

CRYSTAL LATTICES; MEAN FIELD THEORY;

TOPOLOGY;

EID: 84892430422     PISSN: 00319007     EISSN: 10797114     Source Type: Journal    
DOI: 10.1103/PhysRevLett.112.016404     Document Type: Article

References (53)

1. 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. D. Hsieh, D. Qian, L. Wray, Y. Xia, Y. S. Hor, R. J. Cava, and M. Z. Hasan, Nature (London) 452, 970 (2008). NATUAS 0028-0836 10.1038/nature06843
4. X.-L. Qi, T. L. Hughes, and S.-C. Zhang, Phys. Rev. B 78, 195424 (2008). PRBMDO 1098-0121 10.1103/PhysRevB.78.195424
5. W.-K. Tse and A. H. MacDonald, Phys. Rev. Lett. 105, 057401 (2010). PRLTAO 0031-9007 10.1103/PhysRevLett.105.057401
6. J. Maciejko, X.-L. Qi, H. D. Drew, and S.-C. Zhang, Phys. Rev. Lett. 105, 166803 (2010). PRLTAO 0031-9007 10.1103/PhysRevLett.105.166803
7. S. Raghu, X.-L. Qi, C. Honerkamp, and S.-C. Zhang, Phys. Rev. Lett. 100, 156401 (2008). PRLTAO 0031-9007 10.1103/PhysRevLett.100.156401
8. Y. Zhang, Y. Ran, and A. Vishwanath, Phys. Rev. B 79, 245331 (2009). PRBMDO 1098-0121 10.1103/PhysRevB.79.245331
9. M. Hohenadler and F. F. Assaad, J. Phys. Condens. Matter 25, 143201 (2013). JCOMEL 0953-8984 10.1088/0953-8984/25/14/143201
10. W. Witczak-Krempa, G. Chen, Y. B. Kim, and L. Balents, arXiv:1305.2193.
11. D. Pesin and L. Balents, Nat. Phys. 6, 376 (2010). NPAHAX 1745-2473 10.1038/nphys1606
12. M. Kargarian, J. Wen, and G. A. Fiete, Phys. Rev. B 83, 165112 (2011). PRBMDO 1098-0121 10.1103/PhysRevB.83.165112
13. M. Kargarian and G. A. Fiete, Phys. Rev. Lett. 110, 156403 (2013). PRLTAO 0031-9007 10.1103/PhysRevLett.110.156403
14. X.-G. Wen, Phys. Rev. B 65, 165113 (2002). PRBMDO 0163-1829 10.1103/PhysRevB.65.165113
15. G. A. Fiete, V. Chua, M. Kargarian, R. Lundgren, A. Rüegg, J. Wen, and V. Zyuzin, Physica (Amsterdam) 44, 845 (2012). PELNFM 1386-9477 10.1016/j.physe.2011.11.011
16. S. Bhattacharjee, Y. B. Kim, S.-S. Lee, and D.-H. Lee, Phys. Rev. B 85, 224428 (2012). PRBMDO 1098-0121 10.1103/PhysRevB.85.224428
17. W. Witczak-Krempa and Y. B. Kim, Phys. Rev. B 85, 045124 (2012). PRBMDO 1098-0121 10.1103/PhysRevB.85.045124
18. S. D. Huber and A. Rüegg, Phys. Rev. Lett. 102, 065301 (2009). PRLTAO 0031-9007 10.1103/PhysRevLett.102.065301
19. A. Rüegg, S. D. Huber, and M. Sigrist, Phys. Rev. B 81, 155118 (2010). PRBMDO 1098-0121 10.1103/PhysRevB.81.155118
20. R. Nandkishore, M. A. Metlitski, and T. Senthil, Phys. Rev. B 86, 045128 (2012). PRBMDO 1098-0121 10.1103/PhysRevB.86.045128
21. A. Rüegg and G. A. Fiete, Phys. Rev. Lett. 108, 046401 (2012). PRLTAO 0031-9007 10.1103/PhysRevLett.108.046401
22. J. Maciejko and A. Rüegg, Phys. Rev. B 0163-1829 PRBMDO 10.1103/PhysRevB.88.241101 88, 241101(R) (2013).
23. See Supplemental Material at http://link.aps.org/supplemental/10.1103/ PhysRevLett.112.016404 for details.
24. T. Senthil and M. P. A. Fisher, Phys. Rev. B 62, 7850 (2000). PRBMDO 0163-1829 10.1103/PhysRevB.62.7850
25. R. Moessner, S. L. Sondhi, and E. Fradkin, Phys. Rev. B 65, 024504 (2001). PRBMDO 0163-1829 10.1103/PhysRevB.65.024504
26. E. Fradkin and S. H. Shenker, Phys. Rev. D 19, 3682 (1979). PRVDAQ 0556-2821 10.1103/PhysRevD.19.3682
27. T. H. Hansson, V. Oganesyan, and S. L. Sondhi, Ann. Phys. (N.Y.) 313, 497 (2004). APNYA6 0003-4916 10.1016/j.aop.2004.05.006
28. F. J. Wegner, J. Math. Phys. (N.Y.) 12, 2259 (1971). JMAPAQ 0022-2488 10.1063/1.1665530
29. M. Blau and G. Thompson, Ann. Phys. (N.Y.) 205, 130 (1991). APNYA6 0003-4916 10.1016/0003-4916(91)90240-9
30. M. Bergeron, G. W. Semenoff, and R. J. Szabo, Nucl. Phys. B437, 695 (1995). NUPBBO 0550-3213 10.1016/0550-3213(94)00503-7
31. R. J. Szabo, Nucl. Phys. B531, 525 (1998). NUPBBO 0550-3213 10.1016/S0550-3213(98)00586-0
32. G. Y. Cho and J. E. Moore, Ann. Phys. (N.Y.) 326, 1515 (2011). APNYA6 0003-4916 10.1016/j.aop.2010.12.011
33. M. C. Diamantini, P. Sodano, and C. A. Trugenberger, New J. Phys. 14, 063013 (2012). NJOPFM 1367-2630 10.1088/1367-2630/14/6/063013
34. A. M. Chan, T. L. Hughes, S. Ryu, and E. Fradkin, Phys. Rev. B 87, 085132 (2013). PRBMDO 1098-0121 10.1103/PhysRevB.87.085132
35. Y. Ran, A. Vishwanath, and D.-H. Lee, Phys. Rev. Lett. 101, 086801 (2008). PRLTAO 0031-9007 10.1103/PhysRevLett.101.086801
36. G. Rosenberg, H.-M. Guo, and M. Franz, Phys. Rev. B 82, 041104 (2010). PRBMDO 1098-0121 10.1103/PhysRevB.82.041104
37. P. M. Ostrovsky, I. V. Gornyi, and A. D. Mirlin, Phys. Rev. Lett. 105, 036803 (2010). PRLTAO 0031-9007 10.1103/PhysRevLett.105.036803
38. C.-K. Chiu, M. J. Gilbert, and T. L. Hughes, Phys. Rev. B 84, 144507 (2011). PRBMDO 1098-0121 10.1103/PhysRevB.84.144507
39. G. Y. Cho, C. Xu, J. E. Moore, and Y. B. Kim, New J. Phys. 14, 115030 (2012). NJOPFM 1367-2630 10.1088/1367-2630/14/11/115030
40. E. Witten, Phys. Lett. B 86, 283 (1979). PYLBAJ 0370-2693 10.1016/0370-2693(79)90838-4
41. G. Rosenberg and M. Franz, Phys. Rev. B 82, 035105 (2010). PRBMDO 1098-0121 10.1103/PhysRevB.82.035105
42. G. 't Hooft, Nucl. Phys. B190, 455 (1981). NUPBBO 0550-3213 10.1016/0550-3213(81)90442-9
43. J. L. Cardy and E. Rabinovici, Nucl. Phys. B205, 1 (1982). NUPBBO 0550-3213 10.1016/0550-3213(82)90463-1
44. J. L. Cardy, Nucl. Phys. B205, 17 (1982). NUPBBO 0550-3213 10.1016/0550-3213(82)90464-3
45. L. Fu, C. L. Kane, and E. J. Mele, Phys. Rev. Lett. 98, 106803 (2007). PRLTAO 0031-9007 10.1103/PhysRevLett.98.106803
46. C. Weeks and M. Franz, Phys. Rev. B 82, 085310 (2010). PRBMDO 1098-0121 10.1103/PhysRevB.82.085310
47. H.-M. Guo and M. Franz, Phys. Rev. Lett. 103, 206805 (2009). PRLTAO 0031-9007 10.1103/PhysRevLett.103.206805
48. A. M. Essin and M. Hermele, Phys. Rev. B 87, 104406 (2013). PRBMDO 1098-0121 10.1103/PhysRevB.87.104406
49. A. Mesaros and Y. Ran, Phys. Rev. B 87, 155115 (2013). PRBMDO 1098-0121 10.1103/PhysRevB.87.155115
50. L.-Y. Hung and X.-G. Wen, Phys. Rev. B 87, 165107 (2013). PRBMDO 1098-0121 10.1103/PhysRevB.87.165107
51. L.-Y. Hung and Y. Wan, Phys. Rev. B 87, 195103 (2013). PRBMDO 1098-0121 10.1103/PhysRevB.87.195103
52. Y.-M. Lu and A. Vishwanath, arXiv:1302.2634.
53. M. Levin and X.-G. Wen, Phys. Rev. B 67, 245316 (2003). PRBMDO 0163-1829 10.1103/PhysRevB.67.245316