Signatures of the nematic ordering transitions in the thermal conductivity of d -wave superconductors

Physical Review B - Condensed Matter and Materials Physics

Volumn 80, Issue 14, 2009, Pages

  Fritz, Lars ^a   Sachdev, Subir ^a  

^a HARVARD UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 71449096059     PISSN: 10980121     EISSN: 1550235X     Source Type: Journal    
DOI: 10.1103/PhysRevB.80.144503     Document Type: Article

References (62)

1. S. A. Kivelson, E. Fradkin, and V. J. Emery, Nature (London) 393, 550 (1998). 10.1038/31177
2. K. B. Cooper, M. P. Lilly, J. P. Eisenstein, L. N. Pfeiffer, and K. W. West, Phys. Rev. B 65, 241313 (R) (2002). 10.1103/PhysRevB.65.241313
3. R. A. Borzi, S. A. Grigera, J. Farrell, R. S. Perry, S. J. S. Lister, S. L. Lee, D. A. Tennant, Y. Maeno, and A. P. Mackenzie, Science 315, 214 (2007). 10.1126/science.1134796
4. Y. Ando, K. Segawa, S. Komiya, and A. N. Lavrov, Phys. Rev. Lett. 88, 137005 (2002). 10.1103/PhysRevLett.88.137005
5. V. Hinkov, D. Haug, B. Fauque, P. Bourges, Y. Sidis, A. Ivanov, C. Bernhard, C. T. Lin, and B. Keimer, Science 319, 597 (2008). 10.1126/science.1152309
6. M. Vojta, Y. Zhang, and S. Sachdev, Phys. Rev. Lett. 85, 4940 (2000) 10.1103/PhysRevLett.85.4940
7. M. Vojta, Y. Zhang, and S. Sachdev, Phys. Rev. Lett. 100, 089904 (E) (2008) 10.1103/PhysRevLett.100.089904
8. M. Vojta, Y. Zhang, and S. Sachdev, Int. J. Mod. Phys. B 14, 3719 (2000). 10.1142/S0217979200004271
9. E.-A. Kim, M. J. Lawler, P. Oreto, S. Sachdev, E. Fradkin, and S. A. Kivelson, Phys. Rev. B 77, 184514 (2008). 10.1103/PhysRevB.77.184514
10. Y. Huh and S. Sachdev, Phys. Rev. B 78, 064512 (2008). 10.1103/PhysRevB.78.064512
11. A. C. Durst and P. A. Lee, Phys. Rev. B 62, 1270 (2000). 10.1103/PhysRevB.62.1270
12. M. J. Graf, S.-K. Yip, J. A. Sauls, and D. Rainer, Phys. Rev. B 53, 15147 (1996). 10.1103/PhysRevB.53.15147
13. J. R. Schrieffer, Theory of Superconductivity (Perseus Books, Cambridge, 1999).
14. L. Fritz, J. Schmalian, M. Müller, and S. Sachdev, Phys. Rev. B 78, 085416 (2008). 10.1103/PhysRevB.78.085416
15. M. Müller, L. Fritz, and S. Sachdev, Phys. Rev. B 78, 115406 (2008). 10.1103/PhysRevB.78.115406
16. E. Fradkin, Field Theories of Condensed Matter Systems (Addison-Wesley, Redwood City, 1991).
17. A. Auerbach, Interacting Electrons and Quantum Magnetism (Springer-Verlag, NewYork, 1994).
18. L. Dell'Anna, M. Fabrizio, and C. Castellani, J. Stat. Mech.: Theory Exp. (2007) P02014. 10.1088/1742-5468/2007/02/P02014
19. A. Durst and S. Sachdev, Phys. Rev. B 80, 054518 (2009). 10.1103/PhysRevB.80.054518
20. J. Paaske, Ph.D. thesis, University of Copenhagen, 1999
21. http://www2.nbi.ku.dk/side105168.htm
22. A. A. Nersesyan, A. M. Tsvelik, and F. Wenger, Nucl. Phys. B 438, 561 (1995). 10.1016/0550-3213(95)00002-A
23. J. Moreno and P. Coleman, arXiv:cond-mat/9603079 (unpublished).
24. A. Rosch, Ann. Phys. 15, 526 (2006). 10.1002/andp.200510203
25. V. Ambegaokar and L. Tewordt, Phys. Rev. 134, A805 (1964). 10.1103/PhysRev.134.A805
26. G. M. Eliashberg, Zh. Eksp. Teor. Fiz. 61, 125 (1971)
27. G. M. Eliashberg, [Sov. Phys. JETP 34, 668 (1972)].
28. J. Bardeen, G. Rickayzen, and L. Tewordt, Phys. Rev. 113, 982 (1959). 10.1103/PhysRev.113.982
29. L. P. Kadanoff and G. Baym, Quantum Statistical Mechanics (Benjamin, New York, 1962).
30. S. Sachdev, Quantum Phase Transitions (Cambridge University Press, Cambridge, 1999).
31. K. Damle and S. Sachdev, Phys. Rev. B 56, 8714 (1997). 10.1103/PhysRevB.56.8714
32. S. Sachdev, Phys. Rev. B 57, 7157 (1998). 10.1103/PhysRevB.57.7157
33. T. Senthil, M. Vojta, and S. Sachdev, Phys. Rev. B 69, 035111 (2004). 10.1103/PhysRevB.69.035111
34. L. P. Gorkov and P. A. Kalugin, Pis'ma Zh. Eksp. Teor. Fiz. 41, 208 (1985)
35. L. P. Gorkov and P. A. Kalugin, [JETP Lett. 41, 253 (1985)].
36. L. Taillefer, B. Lussier, R. Gagnon, K. Behnia, and H. Aubin, Phys. Rev. Lett. 79, 483 (1997). 10.1103/PhysRevLett.79.483
37. S. Nakamae, K. Behnia, L. Balicas, F. Rullier-Albenque, H. Berger, and T. Tamegai, Phys. Rev. B 63, 184509 (2001). 10.1103/PhysRevB.63.184509
38. M. Suzuki, M. A. Tanatar, N. Kikugawa, Z. Q. Mao, Y. Maeno, and T. Ishiguro, Phys. Rev. Lett. 88, 227004 (2002). 10.1103/PhysRevLett.88.227004
39. J. Rammer and H. Smith, Rev. Mod. Phys. 58, 323 (1986). 10.1103/RevModPhys.58.323
40. R. E. Prange and L. P. Kadanoff, Phys. Rev. 134, A566 (1964). 10.1103/PhysRev.134.A566
41. R. Hlubina and T. M. Rice, Phys. Rev. B 51, 9253 (1995). 10.1103/PhysRevB.51.9253
42. A. Rosch, Phys. Rev. Lett. 82, 4280 (1999) 10.1103/PhysRevLett.82.4280
43. A. Rosch, Phys. Rev. B 62, 4945 (2000). 10.1103/PhysRevB.62.4945
44. J. M. Ziman, Electrons and Phonons (Oxford University Press, Oxford, 1960), Chap..
45. P. Arnold, G. D. Moore, and L. G. Yaffe, J. High Energy Phys. 11, 001 (2000). 10.1088/1126-6708/2000/11/001
46. D. Forster, Hydrodynamic Fluctuations, Broken Symmetry, And Correlation Functions (Westview Press, Boulder, CO, 1995).
47. A. I. Larkin and A. A. Varlamov, Theory of Fluctuations in Superconductors (Oxford University Press, New York, 2005).
48. J. S. Langer, Phys. Rev. 128, 110 (1962). 10.1103/PhysRev.128.110
49. G. Catelani and I. L. Aleiner, JETP 100, 331 (2005). 10.1134/1.1884675
50. A. Vilenkin and P. L. Taylor, Phys. Rev. B 18, 5280 (1978). 10.1103/PhysRevB.18.5280
51. L. B. Ioffe and A. I. Larkin, Phys. Rev. B 39, 8988 (1989). 10.1103/PhysRevB.39.8988
52. P. A. Lee and N. Nagaosa, Phys. Rev. B 46, 5621 (1992). 10.1103/PhysRevB.46.5621
53. Y. B. Kim, A. Furusaki, X.-G. Wen, and P. A. Lee, Phys. Rev. B 50, 17917 (1994). 10.1103/PhysRevB.50.17917
54. Y. B. Kim, P. A. Lee, and X.-G. Wen, Phys. Rev. B 52, 17275 (1995). 10.1103/PhysRevB.52.17275
55. A. DelMaestro, B. Rosenow, and S. Sachdev, Ann. Phys. (N.Y.) 324, 523 (2009). 10.1016/j.aop.2008.08.003
56. M. E. Peskin and D. V. Schroeder, An introduction to Quantum Field Theory (Addison-Wesley Advanced Book Program, Redwood City, 1995).
57. G. D. Mahan, Many Particle Physics, 3rd ed. (Springer, New York, 2007).
58. K. Yamada and K. Yoshida, Prog. Theor. Phys. 76, 621 (1986). 10.1143/PTP.76.621
59. G. Aarts and J. M. Matrinez Resco, J. High Energy Phys. 04, 053 (2002). 10.1088/1126-6708/2002/04/053
60. A. O. Lyakhov and E. G. Mishchenko, Phys. Rev. B 67, 041304 (R) (2003). 10.1103/PhysRevB.67.041304
61. S. A. Hartnoll, P. K. Kovtun, M. Müller, and S. Sachdev, Phys. Rev. B 76, 144502 (2007). 10.1103/PhysRevB.76.144502
62. A. A. Abrikosov and I. M. Khalatnikov, Rep. Prog. Phys. 22, 329 (1959). 10.1088/0034-4885/22/1/310