Gravitational anomalies and thermal Hall effect in topological insulators

Physical Review B - Condensed Matter and Materials Physics

Volumn 85, Issue 18, 2012, Pages

  Stone, Michael ^a  

^a University of Illinois at Urbana Champaign   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 84861150682     PISSN: 10980121     EISSN: 1550235X     Source Type: Journal    
DOI: 10.1103/PhysRevB.85.184503     Document Type: Article

References (42)

1. D. Boyanovsky, E. Dagotto, and E. Fradkin, Nucl. Phys. B NUPBBO 0550-3213 10.1016/0550-3213(87)90343-9 285, 340 (1987).
2. M. Stone, Ann. Phys. APNYA6 0003-4916 10.1016/0003-4916(91)90177-A 207, 38 (1991).
3. C. G. Callan and J. A. Harvey, Nucl. Phys. B NUPBBO 0550-3213 10.1016/0550-3213(85)90489-4 250, 427 (1985).
4. M. R. Zirnbauer, J. Math. Phys. JMAPAQ 0022-2488 10.1063/1.531675 37, 4986 (1996).
5. A. Altland and M. R. Zirnbauer, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.55.1142 55, 1142 (1997).
6. L. Alvarez-Gaume and E. Wittem, Nucl. Phys. B NUPBBO 0550-3213 10.1016/0550-3213(84)90066-X 234, 269 (1984).
7. I. Vurio, Phys. Lett. B PYLBAJ 0370-2693 10.1016/0370-2693(86)90710-0 175, 176 (1986).
8. M. A. Goñi and M. A. Valle, Phys. Rev. D PRVDAQ 1550-7998 10.1103/PhysRevD.34.648 34, 648 (1986).
9. J. J. van der Bij, R. D. Pisarski, and A. Rao, Phys. Lett. B PYLBAJ 0370-2693 10.1016/0370-2693(86)90440-5 179, 87 (1986).
10. G. E. Volovik, JETP Lett. 51, 125 (1990).
11. N. Read and D. Green, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.61. 10267 61, 10267 (2000).
12. S. Ryu, J. E. Moore, and A. W. W. Ludwig, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.85.045104 85, 045104 (2012).
13. Z. Wang, X.-L. Qi, and S.-C. Zhang, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.84.014527 84, 014527 (2011).
14. K. Nomura, S. Ryu, A. Furusaki, and N. Nagaosa, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.108.026802 108, 026802 (2012).
15. A. Cappelli, M. Huerta, and G. R. Zemba, Nucl. Phys. B NUPBBO 0550-3213 10.1016/S0550-3213(02)00340-1 636, 568 (2002).
16. X. G. Wen, Int. J. Mod. Phys. B IJPBEV 0217-9792 10.1142/ S0217979292000840 6, 1711 (1992).
17. L. Fu and C. L. Kane, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.102.216403 102, 216403 (2009).
18. G. E. Volovik, JETP Lett. JTPLA2 0021-3640 10.1134/S0021364010040090 91, 201 (2010).
19. L. V. Levitin, R. G. Bennett, A. J. Casey, B. Cowan, J. Parpia, and J. Saunders, J. Low Temp. Phys. JLTPAC 0022-2291 10.1007/s10909-009-9946-3 158, 159 (2010).
20. I. Affleck, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.56.746 56, 746 (1986);
21. H. W. J. Blöte, J. L. Cardy, and M. P. Nightingale, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.56.742 56, 742 (1986).
22. C. L. Kane and M. P. A. Fisher, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.55.15832 55, 15832 (1997).
23. J. M. Luttinger, Phys. Rev. PHRVAO 0031-899X 10.1103/PhysRev.135.A1505 135, A1505 (1964).
24. A. Einstein, Ann. Phys. ANPYA2 0003-3804 10.1002/andp.19053220806 322, 549 (1905).
25. N. R. Cooper, B. I. Halperin, and I. M. Ruzin, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.55.2344 55, 2344 (1997).
26. W. A. Bardeen and B. Zumino, Nucl. Phys. B NUPBBO 0550-3213 10.1016/0550-3213(84)90322-5 244, 421 (1984).
27. J. L. Mañes, Nucl. Phys. 0550-3213 10.1016/0550-3213(85)90487-0 250, 369 (1985).
28. R. Bott and R. Seeley, Comm. Math. Phys. CMPHAY 0010-3616 10.1007/BF01202526 62, 235 (1978).
29. J. Wess and B. Zumino, Phys. Lett. 37B, 95 (1971).
30. E. Witten, Nucl. Phys. B NUPBBO 0550-3213 10.1016/0550-3213(83)90063-9 223, 422 (1983).
31. S. G. Nachulich, Nucl. Phys. B NUPBBO 0550-3213 10.1016/0550-3213(88) 90400-2 296, 837 (1988).
32. J. A. Harvey and O. Ruchayskiy, J. High Energy Phys. 1126-6708 10.1088/1126-6708/2001/06/044 06 (2001) 044;
33. J. Blum and J. A. Harvey, Nucl. Phys. B NUPBBO 0550-3213 10.1016/0550-3213(94)90580-0 416, 119 (1994).
34. μ T μ ν obeying
35. and hence to the time independence of the integral of J C 0.
36. A. Polyakov, Phys. Lett. B PYLBAJ 0370-2693 10.1016/0370-2693(81)90743-7 103, 207 (1981).
37. M. J. Duff, Class. Quantum Gravit. CQGRDG 0264-9381 10.1088/0264-9381/11/ 6/004 11, 1387 (1994).
38. R. Banerjee and S. Kulkarni, Phys. Rev. D PRVDAQ 1550-7998 10.1103/PhysRevD.79.084035 79, 084035 (2009).
39. S. A. Fulling, Gen. Relativ. Gravit. GRGVA8 0001-7701 10.1007/BF00769929 18, 609 (1986).
40. L. Alvarez-Gaume and P. Ginsparg, Ann. Phys. 0003-4916 10.1016/0003-4916(85)90087-9 161, 423 (1985).
41. P. Krauss and F. Larsen, J. High Energy Phys. 1126-6708 10.1088/1126-6708/2006/01/022 01 (2006) 022.
42. R. F. Perez, Class. Quantum Grav. 0264-9381 10.1088/0264-9381/27/13/ 135015 27, 135015 (2010).