Symmetry-protected topological phases of quantum matter

Annual Review of Condensed Matter Physics

Volumn 6, Issue 1, 2015, Pages 299-324

  Senthil, T ^a  

^a MASSACHUSETTS INSTITUTE OF TECHNOLOGY   (United States)

Author keywords

anomaly; edge states; symmetry protection; topological insulators

Indexed keywords

TOPOLOGICAL INSULATORS; TOPOLOGY;

ANOMALY; EDGE STATE; MANY-PARTICLE SYSTEMS; MATHEMATICAL PROPERTIES; RECENT PROGRESS; THREE DIMENSIONAL SYSTEMS; TOPOLOGICAL BANDS; TOPOLOGICAL PHASIS;

QUANTUM THEORY;

EID: 84924427722     PISSN: 19475454     EISSN: 19475462     Source Type: Journal    
DOI: 10.1146/annurev-conmatphys-031214-014740     Document Type: Article

References (116)

1. Kane CL, Mele EJ. 2005. Phys. Rev. Lett. 95:246802
2. Bernevig BA, Hughes TL, Zhang SC. 2006. Science 314:1757-61
3. Moore JE, Balents L. 2007. Phys. Rev. B 75:121306
4. Fu L, Kane CL, Mele EJ. 2007. Phys. Rev. Lett. 98:106803
5. Roy R. 2009. Phys. Rev. B 79:195322
6. Konig M, Wiedmann S, Brune C, Roth A, Buhmann H, et al. 2007. Science 318(5851):766-70
7. Hsieh D, Qian D, Wray L, Xia Y, Hor YS, et al. 2008. Nature 452(9):970-74
8. Hasan MZ, Kane CL. 2011. Annu. Rev. Condens. Matter Phys. 2:55-78
9. Wolgast SC. 2010. Phys. Rev. Lett. 104:106408
10. Wolgast SC. 2013. Phys. Rev. B 88:180405
11. Wolgast SC. 2013. Phys. Rev. X 3:011011
12. Witczak-Krempa W, Chen G, Kim Y-B, Balents L. 2014. Annu. Rev. Condens. Matter Phys. 5:57-82
13. Pollmann F, Turner AM, Berg E, Oshikawa M. 2010. Phys. Rev. B 81:064439
14. Fidkowski L, Kitaev A. 2011. Phys. Rev. B 83:075103
15. Turner AM, Pollmann F, Berg E. 2011. Phys. Rev. B 83:075102
16. Chen X, Gu Z-C, Wen X-G. 2011. Phys. Rev. B 83:035107
17. Schuch N, Pérez-Garcia D, Cirac I. 2011. Phys. Rev. B 84:165139
18. Chen X. 2012. Science 338:1604;2013.
19. Phys. Rev. B 87:155114
20. Gu Z-C, Wen X-G. 2012. arXiv:1201.2648
21. Vishwanath A, Senthil T. 2013. Phys. Rev. X 3:011016
22. Wang C, Senthil T. 2013. Phys. Rev. B 87:235122
23. Burnell FJ, Chen X, Fidkowski L, Vishwanath A. 2013. arXiv:1302.7072
24. Kapustin A. 2014. arXiv:1403.1467
25. Kapustin A. 2014. arXiv:1404.6659
26. Wang C, Potter AC, Senthil T. 2014. Science 343:629-31
27. Fidkowski L, Chen X, Vishwanath A. 2013. Phys. Rev. X 3:041016
28. Wang C, Senthil T. 2014. Phys. Rev. B 89:195124
29. Levin M, Stern A. 2009. Phys. Rev. Lett. 103:196803
30. Swingle B, Barkeshli M, McGreevy J, Senthil T. 2011. Phys. Rev. B 83:195139
31. Maciejko J, Qi X-L, Karch A, Zhang S-C. 2012. Phys. Rev. B 86:235128
32. Neupert T, Santos L, Ryu S, Chamon C, Mudry C. 2011. Phys. Rev. B 84:165107
33. Santos L, Neupert T, Ryu S, Chamon C, Mudry C. 2011. Phys. Rev. B 84:165138
34. Levin M, Burnell FJ, Koch-Janusz M, Stern A. 2011. Phys. Rev. B 84:235145
35. Levin M, Stern A. 2012. Phys. Rev. B 86:115131
36. Wen X-G. 2004. Quantum Field Theory of Many-Body Systems: From the Origin of Sound to an Origin of Light and Electrons. Oxford, UK: Oxford Univ. Press
37. Pesin DA. 2010. Nat. Phys. 6:376-81
38. Balents L. 2010. Nature 464(7286):199-208
39. von Lohneysen H, Rosch A, Vojta M, Wolfle P. 2007. Rev. Mod. Phys. 79:1015
40. Senthil T, Vishwanath A, Balents L, Sachdev S, Fisher MPA. 2004. Science 303(5663):1490-94
41. Turner AM, Vishwanath A. 2013. arXiv:1301.0330
42. Qi X-L, Hughes TL, Zhang S-C. 2008. Phys. Rev. B 78:195424
43. Essin AM, Moore JE, Vanderbilt D. 2009. Phys. Rev. Lett. 102:146805
44. Witten E. 1979. Phys. Lett. B 86:283-87
45. Lu Y-M, Vishwanath A. 2012. Phys. Rev. B 86:125119
46. Senthil T. 2013. Phys. Rev. Lett. 110:046801
47. Liu Z-X, Wen X-G. 2013. Phys. Rev. Lett. 110:067205
48. Furukawa S, Ueda M. 2013. Phys. Rev. Lett. 111:090401
49. Wu Y-H, Jain JK. 2013. Phys. Rev. B 87:245123
50. Regnualt N, Senthil T. 2013. Phys. Rev. B 88:161106
51. Geraedts SD, Motrunich OI. 2013. Ann. Phys. 334:288-315
52. Lu Y-M, Lee D-H. 2014. arXiv:1212.0863
53. Ye P, Wen X-G. 2013. Phys. Rev. B 87:195128
54. Kitaev A. 2006. Ann. Phys. 321:2-111
55. Plamadeala E, Mulligan M, Nayak C. 2013. Phys. Rev. B 88:045131
56. Chen X, Liu Z-X, Wen X-G. 2011. Phys. Rev. B 84:235141
57. Levin M, Gu Z-C. 2012. Phys. Rev. B 86:115109
58. Peskin M. 1978. Ann. Phys. 113:122-52
59. Dasgupta C, Halperin BI. 1981. Phys. Rev. Lett. 47:1556
60. Fisher MPA, Lee DH. 1989. Phys. Rev. B 39:2756
61. Metlitski MA, Kane CL, Fisher MPA. 2013. Phys. Rev. B 88:035131
62. Xu C, Senthil T. 2013. Phys. Rev. B 87:174412
63. Chen X, Lu Y-M, Vishwanath A. 2013. arXiv
64. Swingle B. 2012. arXiv:1209.0776
65. Balents L, Fisher MPA, Nayak C. 1999. Phys. Rev. B 60:1654-67
66. Senthil T, Fisher MPA. 2000. Phys. Rev. B 62:7850-81
67. Senthil T, Motrunich O. 2002. Phys. Rev. B 66:205104
68. Motrunich OI, Senthil T. 2002. Phys. Rev. Lett. 89:277004
69. Anfuso F, Rosch A. 2007. Phys. Rev. B 75:144420
70. Fidkowski L, Kitaev A. 2010. Phys. Rev. B 81:134509
71. Neupert T, Chamon C, Mudry C, Thomale R. 2014. arXiv:1403.0953
72. Ryu S, Zhang S-C. 2012. Phys. Rev. B 85:245132
73. Qi X-L. 2012. arXiv:1202.3983
74. Yao H, Ryu S. 2012. arXiv:1202.5805
75. Gu Z-C, Levin M. 2013. arXiv:1304.4569
76. Read N, Sachdev S. 1991. Phys. Rev. Lett. 66:1773-76
77. Wen X-G. 1991. Phys. Rev. B 44:2664-72
78. Balents L, Fisher MPA, Girvin SM. 2002. Phys. Rev. B 65:224412
79. Walker K, Wang Z. 2012. Front. Phys. 7(2):150-59
80. Fu L, Kane CL. 2008. Phys. Rev. Lett. 100:096407
81. Wang C, Potter AC, Senthil T. 2013. Phys. Rev. B 88:115137
82. Metlitski MA, Kane CL, Fisher MPA. 2013. arXiv:1306.3286
83. Chen X, Fidkowski L, Vishwanath A. 2013. arXiv:1306.3250
84. Bonderson P, Nayak C, Qi X-L. 2013. J. Stat. Mech. 2013:P09016
85. Fidkowski L, Chen X, Metlitski M, Vishwanath A. 2014. arXiv:1406.3032
86. Kitaev A. 2009. arXiv:0901.2686
87. Ryu S. 2010. New J. Phys. 12:065010
88. Cho GY, Teo JC, Ryu S. 2014. arXiv:1403.6478
89. Chen X, Burnell FJ, Vishwanath A, Fidkowski L. 2014. arXiv:1403.649
90. Kapustin A, Thorngren R. 2014. arXiv:1404.3230
91. Andrew M. 2013. Phys. Rev. B 87:104406
92. Mesaros A. 2013. Phys. Rev. B 87:155115
93. Hung L-Y. 2013. Phys. Rev. B 87:165107
94. Lu Y-M, Vishwanath A. 2013. arXiv:1302.2634
95. Xu C. 2013. Phys. Rev. B 88:205137
96. Alicea J, Motrunich OI, Fisher MPA. 2005. Phys. Rev. Lett. 95:247203
97. Hermele M, Fisher MPA, Leon BP. 2004. Phys. Rev. B 69:064404
98. Moessner R, Sondhi SL. 2003. Phys. Rev. B 68:184512
99. Motrunich OI, Senthil T. 2005. Phys. Rev. B 71:125102
100. Levin M, Wen X-G. 2005. Rev. Mod. Phys. 77:871-79
101. Banerjee A, Isakov SV, Damle K, Kim YB. 2008. Phys. Rev. Lett. 100:047208
102. Shannon N, Sikora O, Pollmann F, Penc K, Fulde P. 2012. Phys. Rev. Lett. 108:067204
103. Ross KA, Savary L, Gaulin BD, Balents L. 2011. Phys. Rev. X 1:021002
104. Zaletel MP. 2013. arXiv:1309.7387 103a. Wang C, Nahum A, Senthil T. 2015. arXiv:1501.01047
105. Xu C. 2013. Phys. Rev. B 87:144421
106. Bi Z, Rasmussen A, Xu C. 2013. arXiv:1309.0515
107. Wang C. 2014. arXiv:1406.0894
108. Grover T, Vishwanath A. 2013. Phys. Rev. B 87:045129
109. Lu Y-M, Lee D-H. 2012. arXiv:1210.0909
110. Barkeshli M. 2013. arXiv:1307.8194
111. Wang C, Levin M. 2014. arXiv:1403.7437
112. Jiang S, Mesaros A, Ran Y. 2014. arXiv:1404.1062
113. Wang J, Wen X-G. 2014. arXiv:1404.7854
114. Wen X-G. 2013. Chin. Phys. Lett. 30:111101
115. Wang J, Wen X-G. 2013. arXiv:1307.7480
116. You Y, BenTov Y, Xu C. 2014. arXiv:1402.4151