Bosonic topological insulator in three dimensions and the statistical Witten effect

Physical Review B - Condensed Matter and Materials Physics

Volumn 88, Issue 3, 2013, Pages

  Metlitski, Max A ^a   Kane, C L ^b   Fisher, Matthew P A ^c  

^a UNIVERSITY OF CALIFORNIA   (United States)

^b UNIVERSITY OF PENNSYLVANIA   (United States)

^c UNIVERSITY OF CALIFORNIA   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 84880831109     PISSN: 10980121     EISSN: 1550235X     Source Type: Journal    
DOI: 10.1103/PhysRevB.88.035131     Document Type: Article

References (44)

1. M. Z. Hasan and C. L. Kane, Rev. Mod. Phys. 10.1103/RevModPhys.82.3045 82, 3045 (2010);
2. X.-L. Qi and S.-C. Zhang, Rev. Mod. Phys. 10.1103/RevModPhys.83.1057 83, 1057 (2011);
3. M. Z. Hasan and J. E. Moore, Annu. Rev. Condens. Matter Phys. 10.1146/annurev-conmatphys-062910-140432 2, 55 (2011).
4. L. Fu, C. L. Kane, and E. J. Mele, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.98.106803 98, 106803 (2007). (Pubitemid 46393379)
5. J. E. Moore and L. Balents, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.75.121306 75, 121306 (R) (2007).
6. R. Roy, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.79.195322 79, 195322 (2009).
7. D. Hsieh, Nature (London) NATUAS 0028-0836 10.1038/nature06843 452, 970 (2008). (Pubitemid 351606144)
8. A. N. Redlich, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.52. 18 52, 18 (1984).
9. A. N. Redlich, Phys. Rev. D 1550-7998 10.1103/PhysRevD.29.2366 29, 2366 (1984).
10. A. J. Niemi and G. W. Semenoff, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.51.2077 51, 2077 (1983).
11. M. Mulligan and F. J. Burnell, arXiv: 1301.4230.
12. E. Witten, Phys. Lett. B PYLBAJ 0370-2693 10.1016/0370-2693(79)90838-4 86, 283 (1979).
13. X. L. Qi, T. L. Hughes, and S.-C. Zhang, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.78.195424 78, 195424 (2008);
14. X. L. Qi, T. L. Hughes, and S.-C. Zhang, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.81.159901 81, 159901 (E) (2010).
15. G. Rosenberg and M. Franz, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.82.035105 82, 035105 (2010).
16. A. P. Schnyder, S. Ryu, A. Furusaki, and A. W. W. Ludwig, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.78.195125 78, 195125 (2008).
17. A. Kitaev, AIP Conf. Proc. 10.1063/1.3149495 1134, 22 (2009).
18. L. Fidkowski and A. Kitaev, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.81.134509 81, 134509 (2010).
19. A. M. Turner, F. Pollmann, and E. Berg, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.83.075102 83, 075102 (2011).
20. X. Chen, Z.-C. Gu, and X.-G. Wen, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.83.035107 83, 035107 (2011).
21. N. Schuch, D. Perez-Garcia, and I. Cirac, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.84.165139 84, 165139 (2011).
22. X. Chen, Z.-C. Gu, and X.-G. Wen, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.84.235128 84, 235128 (2011).
23. X. Chen, Z.-C. Gu, Z.-X. Liu, and X.-G. Wen, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.87.155114 87, 155114 (2013).
24. Y.-M. Lu and A. Vishwanath, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.86.125119 86, 125119 (2012).
25. A. Vishwanath and T. Senthil, Phys. Rev. X 2160-3308 10.1103/PhysRevX.3. 011016 3, 011016 (2013).
26. In the bosonic case, time reversal is realized nonprojectively, T 2 = 1, and boson operators transform simply as T: b → b.
27. T. Senthil and M. Levin, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.110.046801 110, 046801 (2013).
28. M. Levin and Z.-C. Gu, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.86. 115109 86, 115109 (2012).
29. L. Y. Hung and Y. Wan, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.86. 235132 86, 235132 (2012).
30. L. Y. Hung and X. G. Wen, arXiv: 1211.2767.
31. M. A. Metlitski, C. L. Kane, and M. P. A. Fisher (unpublished).
32. M. Henneaux and C. Teitelboim, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.56.689 56, 689 (1986).
33. A. S. Goldhaber, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett. 36.1122 36, 1122 (1976).
34. F. Wilczek, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.48.1146 48, 1146 (1982).
35. A. S. Goldhaber, R. MacKenzie, and F. Wilczek, Mod. Phys. Lett. A MPLAEQ 0217-7323 10.1142/S0217732389000046 4, 21 (1989).
36. E. Witten, Selecta Math. 1022-1824 10.1007/BF01671570 1, 383 (1995);
37. arXiv: hep-th/9505186.
38. E. Witten, arXiv: hep-th/0307041.
39. E. Rowell, R. Stong, and Z. Wang, Commun. Math. Phys. CMPHAY 0010-3616 10.1007/s00220-009-0908-z 292, 343 (2009).
40. C. Wang and T. Senthil, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.87.235122 87, 235122 (2013).
41. F. Burnell, X. Chen, L. Fidkowski, and A. Vishwanath, arXiv: 1302.7072.
42. X.-G. Wen, arXiv: 1301.7675.
43. C. Xu and T. Senthil, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.87. 174412 87, 174412 (2013).
44. M. A. Metlitski and S. Sachdev, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.77.054411 77, 054411 (2008).