Compressible quantum phases from conformal field theories in 2+1 dimensions

Physical Review D - Particles, Fields, Gravitation and Cosmology

Volumn 86, Issue 12, 2012, Pages

  Sachdev, Subir ^a  

^a HARVARD UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 84871590178     PISSN: 15507998     EISSN: 15502368     Source Type: Journal    
DOI: 10.1103/PhysRevD.86.126003     Document Type: Article

References (80)

1. S. A. Hartnoll, P. K. Kovtun, M. Müller, and S. Sachdev, Phys. Rev. B 76, 144502 (2007). PRBMDO 1098-0121 10.1103/PhysRevB.76.144502
2. J. M. Maldacena, Adv. Theor. Math. Phys. 2, 231 (1998); 1095-0761
3. J. M. Maldacena Int. J. Theor. Phys. 38, 1113 (1999). IJTPBM 0020-7748 10.1023/A:1026654312961
4. S. S. Gubser, I. R. Klebanov, and A. M. Polyakov, Phys. Lett. B 428, 105 (1998). PYLBAJ 0370-2693 10.1016/S0370-2693(98)00377-3
5. E. Witten, Adv. Theor. Math. Phys. 2, 253 (1998). 1095-0761
6. S. S. Gubser, Phys. Rev. D 78, 065034 (2008). PRVDAQ 1550-7998 10.1103/PhysRevD.78.065034
7. A. Chamblin, R. Emparan, C. V. Johnson, and R. C. Myers, Phys. Rev. D 60, 064018 (1999). PRVDAQ 0556-2821 10.1103/PhysRevD.60.064018 (Pubitemid 40632835)
8. T. Nishioka, S. Ryu, and T. Takayanagi, J. High Energy Phys. 03 (2010) 131. JHEPFG 1029-8479 10.1007/JHEP03(2010)131
9. G. T. Horowitz and B. Way, J. High Energy Phys. 11 (2010) 011. JHEPFG 1029-8479 10.1007/JHEP11(2010)011
10. L. Huijse and S. Sachdev, Phys. Rev. D 84, 026001 (2011). PRVDAQ 1550-7998 10.1103/PhysRevD.84.026001
11. L. Huijse, S. Sachdev, and B. Swingle, Phys. Rev. B 85, 035121 (2012). PRBMDO 1098-0121 10.1103/PhysRevB.85.035121
12. T. Faulkner and J. Polchinski, J. High Energy Phys. 06 (2011) 012. JHEPFG 1029-8479 10.1007/JHEP06(2011)012
13. S. Sachdev, Phys. Rev. Lett. 105, 151602 (2010). PRLTAO 0031-9007 10.1103/PhysRevLett.105.151602
14. S. Sachdev, Phys. Rev. D 84, 066009 (2011). PRVDAQ 1550-7998 10.1103/PhysRevD.84.066009
15. S. Sachdev, Annu. Rev. Condens. Matter Phys. 3, 9 (2012). ARCMCX 1947-5454 10.1146/annurev-conmatphys-020911-125141
16. S. A. Hartnoll, arXiv:1106.4324.
17. N. Iqbal and H. Liu, Classical Quantum Gravity 29, 194004 (2012). CQGRDG 0264-9381 10.1088/0264-9381/29/19/194004
18. S. A. Hartnoll and L. Huijse, Classical Quantum Gravity 29, 194001 (2012). CQGRDG 0264-9381 10.1088/0264-9381/29/19/194001
19. A. Allais, J. McGreevy, and S. J. Suh, Phys. Rev. Lett. 108, 231602 (2012). PRLTAO 0031-9007 10.1103/PhysRevLett.108.231602
20. S. A. Hartnoll and D. Radicevic, Phys. Rev. D 86, 066001 (2012). PRVDAQ 1550-7998 10.1103/PhysRevD.86.066001
21. C. Charmousis, B. Gouteraux, B. S. Kim, E. Kiritsis, and R. Meyer, J. High Energy Phys. 11 (2010) 151. JHEPFG 1029-8479 10.1007/JHEP11(2010)151
22. N. Iizuka, N. Kundu, P. Narayan, and S. P. Trivedi, J. High Energy Phys. 01 (2012) 094. JHEPFG 1029-8479 10.1007/JHEP01(2012)094
23. N. Ogawa, T. Takayanagi, and T. Ugajin, J. High Energy Phys. 01 (2012) 125. JHEPFG 1029-8479 10.1007/JHEP01(2012)125
24. S. Nakamura, H. Ooguri, and C.-S. Park, Phys. Rev. D 81, 044018 (2010). PRVDAQ 1550-7998 10.1103/PhysRevD.81.044018
25. H. Ooguri and C.-S. Park, Phys. Rev. D 82, 126001 (2010). PRVDAQ 1550-7998 10.1103/PhysRevD.82.126001
26. A. Donos and J. P. Gauntlett, J. High Energy Phys. 08 (2011) 140. JHEPFG 1029-8479 10.1007/JHEP08(2011)140
27. A. Donos, J. P. Gauntlett, and C. Pantelidou, J. High Energy Phys. 01 (2012) 061. JHEPFG 1029-8479 10.1007/JHEP01(2012)061
28. A. Donos, J. P. Gauntlett, and C. Pantelidou, Classical Quantum Gravity 29, 194006 (2012). CQGRDG 0264-9381 10.1088/0264-9381/29/19/194006
29. N. Iizuka, S. Kachru, N. Kundu, P. Narayan, N. Sircar, and S. P. Trivedi, J. High Energy Phys. 07 (2012) 193. JHEPFG 1029-8479 10.1007/JHEP07(2012)193
30. E. Witten, arXiv:hep-th/0307041.
31. C. P. Herzog, P. Kovtun, S. Sachdev, and D. T. Son, Phys. Rev. D 75, 085020 (2007). PRVDAQ 1550-7998 10.1103/PhysRevD.75.085020
32. T. Faulkner and N. Iqbal, arXiv:1207.4208.
33. R. Gopakumar, A. Hashimoto, I. R. Klebanov, S. Sachdev, and K. Schoutens, Phys. Rev. D 86, 066003 (2012). PRVDAQ 1550-7998 10.1103/PhysRevD.86.066003
34. G. Murthy and S. Sachdev, Nucl. Phys. B344, 557 (1990). NUPBBO 0550-3213 10.1016/0550-3213(90)90670-9
35. A. Kapustin and M. J. Strassler, J. High Energy Phys. 04 (1999) 021. JHEPFG 1029-8479 10.1088/1126-6708/1999/04/021
36. V. Borokhov, A. Kapustin, and X.-k. Wu, J. High Energy Phys. 11 (2002) 049. JHEPFG 1029-8479 10.1088/1126-6708/2002/11/049
37. V. Borokhov, A. Kapustin, and X.-k. Wu, J. High Energy Phys. 12 (2002) 044. JHEPFG 1029-8479 10.1088/1126-6708/2002/12/044
38. M. A. Metlitski, M. Hermele, T. Senthil, and M. P. A. Fisher, Phys. Rev. B 78, 214418 (2008). PRBMDO 1098-0121 10.1103/PhysRevB.78.214418
39. M. Hermele, Phys. Rev. B 79, 184429 (2009). PRBMDO 1098-0121 10.1103/PhysRevB.79.184429
40. M. K. Benna, I. R. Klebanov, and T. Klose, J. High Energy Phys. 01 (2010) 110. JHEPFG 1029-8479 10.1007/JHEP01(2010)110
41. A. Kapustin and B. Willett, arXiv:1106.2484.
42. N. Read and S. Sachdev, Phys. Rev. Lett. 62, 1694 (1989). PRLTAO 0031-9007 10.1103/PhysRevLett.62.1694
43. N. Read and S. Sachdev, Phys. Rev. B 42, 4568 (1990). PRBMDO 0163-1829 10.1103/PhysRevB.42.4568
44. T. Senthil, A. Vishwanath, L. Balents, S. Sachdev, and M. P. A. Fisher, Science 303, 1490 (2004); SCIEAS 0036-8075 10.1126/science.1091806 (Pubitemid 38314412)
45. T. Senthil, L. Balents, S. Sachdev, A. Vishwanath, and M. P. A. Fisher, Phys. Rev. B 70, 144407 (2004). PRBMDO 1098-0121 10.1103/PhysRevB.70.144407 (Pubitemid 40052583)
46. O. I. Motrunich and M. P. A. Fisher, Phys. Rev. B 75, 235116 (2007). PRBMDO 1098-0121 10.1103/PhysRevB.75.235116
47. M. S. Block, R. V. Mishmash, R. K. Kaul, D. N. Sheng, O. I. Motrunich, and M. P. A. Fisher, Phys. Rev. Lett. 106, 046402 (2011). PRLTAO 0031-9007 10.1103/PhysRevLett.106.046402
48. M. S. Block, D. N. Sheng, O. I. Motrunich, and M. P. A. Fisher, Phys. Rev. Lett. 106, 157202 (2011). PRLTAO 0031-9007 10.1103/PhysRevLett.106.157202
49. R. V. Mishmash, M. S. Block, R. K. Kaul, D. N. Sheng, O. I. Motrunich, and M. P. A. Fisher, Phys. Rev. B 84, 245127 (2011). PRBMDO 1098-0121 10.1103/PhysRevB.84.245127
50. M. E. Peskin, Ann. Phys. (N.Y.) 113, 122 (1978). APNYA6 0003-4916 10.1016/0003-4916(78)90252-X
51. C. Dasgupta and B. I. Halperin, Phys. Rev. Lett. 47, 1556 (1981). PRLTAO 0031-9007 10.1103/PhysRevLett.47.1556
52. P. A. M. Dirac, Can. J. Phys. 33, 650 (1955). CJPHAD 0008-4204 10.1139/p55-081
53. T. H. Hansson, V. Oganesyan, and S. L. Sondhi, Ann. Phys. (Amsterdam) 313, 497 (2004). APNYA6 0003-4916 10.1016/j.aop.2004.05.006 (Pubitemid 39603439)
54. W. Rantner and X.-G. Wen, arXiv:cond-mat/0105540.
55. J. Ye, Phys. Rev. B 67, 115104 (2003). PRBMDO 0163-1829 10.1103/PhysRevB.67.115104
56. M. P. A. Fisher, Phys. Rev. Lett. 65, 923 (1990). PRLTAO 0031-9007 10.1103/PhysRevLett.65.923
57. X.-G. Wen and A. Zee, Int. J. Mod. Phys. B 04, 437 (1990). IJPBEV 0217-9792 10.1142/S0217979290000206
58. M. A. Metlitski and S. Sachdev, Phys. Rev. B 77, 054411 (2008). PRBMDO 1098-0121 10.1103/PhysRevB.77.054411
59. O. I. Motrunich and A. Vishwanath, Phys. Rev. B 70, 075104 (2004). PRBMDO 1098-0121 10.1103/PhysRevB.70.075104
60. L. Balents, L. Bartosch, A. Burkov, S. Sachdev, and K. Sengupta, Phys. Rev. B 71, 144508 (2005). PRBMDO 1098-0121 10.1103/PhysRevB.71.144508 (Pubitemid 41755471)
61. O. I. Motrunich and A. Vishwanath, arXiv:0805.1494 and references therein.
62. M. P. A. Fisher and D. H. Lee, Phys. Rev. B 39, 2756 (1989). PRBMDO 0163-1829 10.1103/PhysRevB.39.2756
63. A. L. Fetter and P. C. Hohenberg, in Superconductivity, edited by, R. D. Parks, (Marcel Dekker, New York, 1969), Vol. 2.
64. J. Carlstrom, E. Babaev, and M. Speight, Phys. Rev. B 83, 174509 (2011). PRBMDO 1098-0121 10.1103/PhysRevB.83.174509
65. Geometric Phases in Physics, edited by A. Shapere and F. Wilczek, Advanced Series in Mathematical Physics, Vol 5 (World Scientific, Singapore, 1988).
66. Fractional Statistics and Anyon Superconductivity, edited by F. Wilczek (World Scientific, Singapore, 1990).
67. M. Barkeshli and J. McGreevy, Phys. Rev. B 86, 075136 (2012). PRBMDO 1098-0121 10.1103/PhysRevB.86.075136
68. J. Alicea, O. I. Motrunich, M. Hermele, and M. P. A. Fisher, Phys. Rev. B 72, 064407 (2005). PRBMDO 1098-0121 10.1103/PhysRevB.72.064407 (Pubitemid 43292008)
69. D. Bak and S.-J. Rey, J. High Energy Phys. 09 (2010) 032. JHEPFG 1029-8479 10.1007/JHEP09(2010)032
70. A. Bayntun, C. P. Burgess, B. P. Dolan, and S.-S. Lee, New J. Phys. 13, 035012 (2011). NJOPFM 1367-2630 10.1088/1367-2630/13/3/035012
71. O. Domenech, M. Montull, A. Pomarol, A. Salvio, and P. J. Silva, J. High Energy Phys. 08 (2010) 033. JHEPFG 1029-8479 10.1007/JHEP08(2010)033
72. S. Sachdev, "The quantum phases of matter," 25th Solvay Conference on Physics, "The Theory of the Quantum World", Brussels, Oct 2011.
73. E. Brézin, D. R. Nelson, and A. Thiaville, Phys. Rev. B 31, 7124 (1985). PRBMDO 0163-1829 10.1103/PhysRevB.31.7124
74. I. F. Herbut and Z. Tešanović, Phys. Rev. Lett. 73, 484 (1994). PRLTAO 0031-9007 10.1103/PhysRevLett.73.484
75. G. I. Menon, C. Dasgupta, H. R. Krishnamurthy, T. V. Ramakrishnan, and S. Sengupta, Phys. Rev. B 54, 16192 (1996). PRBMDO 0163-1829 10.1103/PhysRevB.54. 16192
76. W. R. Magro and D. M. Ceperley, Phys. Rev. B 48, 411 (1993). PRBMDO 0163-1829 10.1103/PhysRevB.48.411
77. I. R. Klebanov and E. Witten, Nucl. Phys. B556, 89 (1999). NUPBBO 0550-3213 10.1016/S0550-3213(99)00387-9
78. T. Hartman and L. Rastelli, J. High Energy Phys. 01 (2008) 019. JHEPFG 1029-8479 10.1088/1126-6708/2008/01/019
79. S. Raju, Phys. Rev. D 85, 126008 (2012). PRVDAQ 1550-7998 10.1103/PhysRevD.85.126008
80. R. K. Kaul and S. Sachdev, Phys. Rev. B 77, 155105 (2008). PRBMDO 1098-0121 10.1103/PhysRevB.77.155105