Emergent many-body translational symmetries of Abelian and non-Abelian fractionally filled topological insulators

Physical Review B - Condensed Matter and Materials Physics

Volumn 85, Issue 7, 2012, Pages

  Bernevig, B Andrei ^a   Regnault, N ^b  

^a PRINCETON UNIVERSITY   (United States)

^b CNRS   (France)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 84857736787     PISSN: 10980121     EISSN: 1550235X     Source Type: Journal    
DOI: 10.1103/PhysRevB.85.075128     Document Type: Article

References (44)

1. F. D. M. Haldane, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett. 61.2015 61, 2015 (1988).
2. C. L. Kane and E. J. Mele, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.95.226801 95, 226801 (2005). (Pubitemid 41776999)
3. B. A. Bernevig, T. L. Hughes, and S.-C. Zhang, Science SCIEAS 0036-8075 10.1126/science.1133734 314, 1757 (2006). (Pubitemid 44969083)
4. L. Fu and C. L. Kane, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.76. 045302 76, 045302 (2007).
5. D. A. Pesin and L. Balents, Nat. Phys. 1745-2473 10.1038/nphys1606 6, 376 (2010).
6. S. Rachel and K. Le Hur, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.82.075106 82, 075106 (2010).
7. J. Wen, A. Rüegg, C.-C. Joseph Wang, and G. A. Fiete, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.82.075125 82, 075125 (2010).
8. N. Regnault and B. A. Bernevig, Phys. Rev. X 2160-3308 10.1103/PhysRevX.1.021014 1, 021014 (2011).
9. T. Neupert, L. Santos, C. Chamon, and C. Mudry, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.106.236804 106, 236804 (2011).
10. D. N. Sheng, Z.-C. Gu, K. Sun, and L. Sheng, Nat. Commun. 2041-1723 10.1038/ncomms1380 2, 389 (2011).
11. A. Sterdyniak, N. Regnault, and B. A. Bernevig, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.106.100405 106, 100405 (2011).
12. H. Li and F. D. M. Haldane, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.101.010504 101, 010504 (2008).
13. A. Kol and N. Read, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.48. 8890 48, 8890 (1993).
14. S. M. Girvin, A. H. MacDonald, and P. M. Platzman, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.33.2481 33, 2481 (1986).
15. S. A. Parameswaran, R. Roy, and S. L. Sondhi, e-print arXiv: 1106.4025 (to be published).
16. N. Read and E. Rezayi, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.59. 8084 59, 8084 (1999).
17. R. B. Laughlin, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.50. 1395 50, 1395 (1983).
18. G. Moore and N. Read, Nucl. Phys. B NUPBBO 0550-3213 10.1016/0550- 3213(91)90407-O 360, 362 (1991).
19. F. D. M. Haldane, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett. 55.2095 55, 2095 (1985).
20. K. Sun, Z. Gu, H. Katsura, and S. Das Sarma, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.106.236803 106, 236803 (2011).
21. B. A. Bernevig and F. D. M. Haldane, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.100.246802 100, 246802 (2008).
22. F. D. M. Haldane, Bull. Am. Phys. Soc. 51, 633 (2006).
23. E. J. Bergholtz, J. Kailasvuori, E. Wikberg, T. H. Hansson, and A. Karlhede, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.74.081308 74, 081308 (2006). (Pubitemid 44316353)
24. E. J. Bergholtz and A. Karlhede, J. Stat. Mech.: Theory Exp. 1742-5468 10.1088/1742-5468/2006/04/L04001 (2006) L04001. (Pubitemid 43803173)
25. E. Ardonne, E. J. Bergholtz, J. Kailasvuori, and E. Wikberg, J. Stat. Mech.: Theory Exp. 1742-5468 10.1088/1742-5468/2008/04/P04016 (2008) P04016.
26. A. Seidel, H. Fu, D.-H. Lee, J. M. Leinaas, and J. Moore, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.95.266405 95, 266405 (2005). (Pubitemid 43273157)
27. A. Seidel and D.-H. Lee, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.97.056804 97, 056804 (2006). (Pubitemid 44181738)
28. M. Hermanns, N. Regnault, B. A. Bernevig, and E. Ardonne, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.83.241302 83, 241302 (2011).
29. A. Seidel and K. Yang, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.84. 085122 84, 085122 (2011).
30. B. A. Bernevig and F. D. M. Haldane, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.100.246802 100, 246802 (2008).
31. S. H. Simon, E. H. Rezayi, and N. R. Cooper, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.75.195306 75, 195306 (2007).
32. R. Stanley, Adv. Math. ADMTA4 0001-8708 10.1016/0001-8708(89)90015-7 77, 76 (1989).
33. M. O.Goerbig, Eur. Phys. J. B EPJBFY 1434-6028 10.1140/epjb/e2011-20420-7 85, 15 (2012).
34. D. Podolsky and J. Avron (private communication).
35. R. Thomale, A. Sterdyniak, N. Regnault, and B. A. Bernevig, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.104.180502 104, 180502 (2010).
36. A. Vaezi, e-print arXiv: 1105.0406 (to be published).
37. X.-L. Qi, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.107. 126803 107, 126803 (2011).
38. E. Tang, J.-W. Mei, and X.-G. Wen, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.106.236802 106, 236802 (2011).
39. X. Hu, M. Kargarian, and G. A. Fiete, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.84.155116 84, 155116 (2011).
40. F. Wang and Y. Ran, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.84. 241103 84, 241103 (2011).
41. D. Green, Ph.D. thesis, Yale University, New Haven, 2001;
42. N. Read and D. Green, Phys. Rev. B 1098-0121 10.1103/PhysRevB.61.10267 61, 10267 (2000).
43. E. Ardonne and N. Regnault, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.84.205134 84, 205134 (2011).
44. B. Estienne and B. A. Bernevig, Nucl. Phys. B 0550-3213 10.1016/j.nuclphysb.2011.12.007 857, 185 (2012).