Effects of longer-range interactions on unconventional superconductivity

Physical Review B - Condensed Matter and Materials Physics

Volumn 85, Issue 2, 2012, Pages

  Raghu, S ^a,b   Berg, E ^c   Chubukov, A V ^d   Kivelson, S A ^a  

^a STANFORD UNIVERSITY   (United States)

^b SLAC NATIONAL ACCELERATOR LABORATORY   (United States)

^c HARVARD UNIVERSITY   (United States)

^d University of Wisconsin Madison   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 84856415579     PISSN: 10980121     EISSN: 1550235X     Source Type: Journal    
DOI: 10.1103/PhysRevB.85.024516     Document Type: Article

References (70)

1. W. Kohn and J. M. Luttinger, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.15.524 15, 524 (1965).
2. D. Fay and A. Layzer, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.20.187 20, 187 (1968).
3. M. Yu. Kagan and A. V. Chubukov, JETP Lett. 47, 614 (1988);
4. M. Baranov, A. V. Chubukov, and M. Yu. Kagan, Int. J. Mod. Phys. IJPBEV 0217-9792 10.1142/S0217979292001249 6, 2471 (1992).
5. M. A. Baranov and M. Y. Kagan, Z. Phys. B ZPCMDN 0722-3277 10.1007/BF01313830 86, 237 (1992).
6. R. Hlubina, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.59.9600 59, 9600 (1999);
7. J. Mráz and R. Hlubina, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.67.174518 67, 174518 (2003).
8. A. V. Chubukov and J. P. Lu, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.46.11163 46, 11163 (1992).
9. A. V. Chubukov, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.48.1097 48, 1097 (1993).
10. S. Raghu, S. A. Kivelson, and D. J. Scalapino, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.81.224505 81, 224505 (2010).
11. S. R. White, S. Chakravarty, M. P. Gelfand, and S. A. Kivelson, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.45.5062 45, 5062 (1992);
12. M. Caffarel and W. Krauth, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.72.1545 72, 1545 (1994);
13. D. J. Scalapino and S. A. Trugman, Philos. Mag. B PRLTAO 1364-2812 10.1080/01418639608240361 74, 607 (1996).
14. For the latest developments, see S. Okamoto and T. A. Maier, Phys. Rev. B 1098-0121 PRBMDO 10.1103/PhysRevB.81.214525 81, 214525 (2010), and references therein.
15. T. A. Maier, M. Jarrell, T. C. Schulthess, P. R. C. Kent, and J. B. White, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.95.237001 95, 237001 (2005). (Pubitemid 41776925)
16. K. Haule and G. Kotliar, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.76.104509 76, 104509 (2007).
17. See, e.g., R. M. Noack, S. R. White, and D. J. Scalapino, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.73.882 73, 882 (1994);
18. R. M. Noack, S. R. White, and D. J. Scalapino, Europhys. Lett. 0295-5075 10.1209/0295-5075/30/3/007 30, 163 (1995);
19. R. M. Noack, N. Bulut, D. J. Scalapino, and M. G. Zacher, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.56.7162 56, 7162 (1997);
20. E. Arrigoni, A. P. Harju, W. Hanke, B. Brendel, and S. A. Kivelson, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.65.134503 65, 134503 (2002).
21. G. Karakonstantakis, E. Berg, S. R. White, and S. A. Kivelson, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.83.054508 83, 054508 (2011), and references therein.
22. See, e.g., R. Thomale, C. Platt, J. Hu, C. Honerkamp, and B. A. Bernevig, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.80.180505 80, 180505 (2009);
23. F. Wang, H. Zhai, Y. Ran, A. Vishwanath, and D.-H. Lee, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.102.047005 102, 047005 (2009), and references therein.
24. P. Monthoux and D. J. Scalapino, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.72.1874 72, 1874 (1994);
25. T. Dahm and L. Tewordt, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.52.1297 52, 1297 (1995);
26. D. Manske, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.67.134520 67, 134520 (2003).
27. Ar. Abanov, A. V. Chubukov, and M. R. Norman, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.78.220507 78, 220507 (2008).
28. B. Kyung, J. S. Landry, and A. M. S. Tremblay, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.68.174502 68, 174502 (2003).
29. See, e.g., S. Pathak, V. B. Shenoy, M. Randeria, and N. Trivedi, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.102.027002 102, 027002 (2009), and references therein.
30. G. Kotliar and J. Liu, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.38. 5142 38, 5142 (1988).
31. P. A. Lee, N. Nagaosa, and X.-G. Wen, Rev. Mod. Phys. RMPHAT 0034-6861 10.1103/RevModPhys.78.17 78, 17 (2006). (Pubitemid 43279669)
32. S. A. Kivelson, I. P. Bindloss, E. Fradkin, V. Oganesyan, J. M. Tranquada, A. Kapitulnik, and C. Howald, Rev. Mod. Phys. RMPHAT 0034-6861 10.1103/RevModPhys.75.1201 75, 1201 (2003). (Pubitemid 38037750)
33. V. J. Emery and S. A. Kivelson, Nature (London) NATUAS 0028-0836 10.1038/374434a0 374, 434 (1995).
34. See, e.g., D. Senechal and A.-M. S. Tremblay, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.92.126401 92, 126401 (2004);
35. S. S. Kancharla, B. Kyung, D. Senechal, M. Civelli, M. Capone, G. Kotliar, and A.M.S. Tremblay, Phys. Rev B PRLTAO 1098-0121 10.1103/PhysRevB.77. 184516 77, 184516 (2008).
36. M. Imada, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.72.075113 72, 075113 (2005). (Pubitemid 43406188)
37. See, e.g., D. N. Basov and A. V. Chubukov, Nature Phys. PRLTAO 1745-2473 10.1038/nphys1975 7, 273 (2011), and references therein.
38. See, e.g., S. R. White, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.69.2863 69, 2863 (1992).
39. F is the bare velocity [without the 1 / (1 + λ) factor]. (Pubitemid 47551484)
40. Claudio Gazza, George B. Martins, José Riera, and Elbio Dagotto, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.59.13596 59, R709 (1999).
41. A. S. Alexandrov and V. V. Kabanov, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.106.136403 106, 136403 (2011).
42. H. J. Shulz, Europhys. Lett. EULEEJ 0295-5075 10.1209/0295-5075/4/5/016 4, 609 (1987);
43. A. T. Zheleznyak, V. M. Yakovenko, and I. E. Dzyaloshinskii, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.55.3200 55, 3200 (1997);
44. K. Le Hur and T. M. Rice, Ann. Phys. (NY) EULEEJ 0295-5075 10.1209/0295-5075/88/17004 324, 1452 (2009).
45. For recent developments on Kohn-Luttinger type superconductivity in Fe pnictides and in graphene see D. Podolsky, H-Y. Kee, and Y. B. Kim, Europhys. Lett. 0295-5075 10.1209/0295-5075/88/17004 88, 17004 (2009);
46. A. V. Chubukov, Physica C PHYCE6 0921-4534 10.1016/j.physc.2009.03.023 469, 640 (2009);
47. O. Vafek and L. Wang, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.84. 172501 84, 172501 (2011);
48. J. Gonzalez, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.78.205431 78, 205431 (2008);
49. R. Nandkishore, L. Levitov, and A. Chubukov, e-print arXiv: 1107.1903;
50. M. Kiesel, C. Platt, W. Hanke, D. A. Abanin, and R. Thomale, e-print arXiv: 1109.2953;
51. W.-S. Wang, Y.-Y. Xiang, Q.-H. Wang, F. Wang, F. Yang, and D.-H. Lee, e-print arXiv: 1109.3884.
52. P. Morel and P. W. Anderson, Phys. Rev. PHRVAO 0031-899X 10.1103/PhysRev.125.1263 125, 1263 (1962);
53. N. F. Berk and J. R. Schrieffer, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.17.433 17, 433 (1966);
54. K. Levin and O. T. Valls, Phys. Rep. PRPLCM 0370-1573 10.1016/0370-1573(83)90049-2 98, 1 (1983).
55. See, e.g., D. J. Scalapino, E. Loh Jr., and J. E. Hirsch, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.34.8190 34, 8190 (1986);
56. P. Monthoux, A. V. Balatsky, and D. Pines, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.67.3448 67, 3448 (1991).
57. R. Shankar, Rev. Mod. Phys. RMPHAT 0034-6861 10.1103/RevModPhys.66.129 66, 129 (1994). (Pubitemid 24777948)
58. J. Polchinski, e-print arXiv: hep-th/9210046.
59. D. V. Efremov, Sov. Phys. JETP JTPHES 1063-7761 10.1134/1.559173 90, 861 (2000).
60. M. Yu. Kagan, D. V. Efremov, M. S. Marienko, and V. V. Val'kov, Pis'ma Zh. Eksp. Teor. Fiz. JTPLA2 0021-3640 10.1134/S0021364011120083 93, 807 (2011)
61. M. Yu. Kagan, D. V. Efremov, M. S. Marienko, and V. V. Val'kov [JETP Lett. 0021-3640 10.1134/S0021364011120083 93, 725 (2011)].
62. J. Mráz and R. Hlubina, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.69.104501 69, 104501 (2004).
63. A. V. Chubukov and M. Yu. Kagan, J. Phys. Condens. Matter JCOMEL 0953-8984 10.1088/0953-8984/1/19/007 1, 3135 (1989).
64. S. Raghu and S. A. Kivelson, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.83.094518 83, 094518 (2011).
65. S. R. White, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.69. 2863 69, 2863 (1992).
66. E. Dagotto, J. Riera, and D. Scalapino, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.45.5744 45, 5744 (1992).
67. E. Dagotto and T. M. Rice, Science SCIEAS 0036-8075 10.1126/science.271. 5249.618 271, 618 (1996).
68. L. Balents and M. P. A. Fisher, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.53.12133 53, 12133 (1996).
69. E. Berg, S. A. Kivelson, and D. J. Scalapino, New J. Phys. NJOPFM 1367-2630 10.1088/1367-2630/11/8/085007 11, 085007 (2009).
70. S. Kuchenhoff and P. Wölfle, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.38.935 38, 935 (1988).