Phonons and d -wave pairing in the two-dimensional Hubbard model

Physical Review B - Condensed Matter and Materials Physics

Volumn 75, Issue 1, 2007, Pages

  Honerkamp, Carsten ^a,b   Fu, Henry C ^c   Lee, Dung Hai ^c,d,e  

^a UNIVERSITY OF WÜRZBURG   (Germany)

^b MAX PLANCK INSTITUT FÜR FESTKÖRPERFORSCHUNG   (Germany)

^c UNIVERSITY OF CALIFORNIA   (United States)

^d TSINGHUA UNIVERSITY   (China)

^e LAWRENCE BERKELEY NATIONAL LABORATORY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 33846344030     PISSN: 10980121     EISSN: 1550235X     Source Type: Journal    
DOI: 10.1103/PhysRevB.75.014503     Document Type: Article

References (43)

1. P. W. Anderson, The Theory of High-Temperature Superconductivity (Princeton University Press, Princeton, NJ, 1997);
2. see also P. W. Anderson, cond-mat/0201429 (unpublished).
3. See, e.g., G.-H. Gweon, S. Y. Zhou, and A. Lanzara, J. Phys. Chem. Solids JPCSAW 0022-3697 10.1016/j.jpcs.2003.12.017 65, 1397 (2004);
4. S. V. Borisenko, A. A. Kordyuk, V. Zabolotnyy, J. Geck, D. Inosov, A. Koitzsch, J. Fink, M. Knupfer, B. Buchner, V. Hinkov, C. T. Lin, B. Keimer, T. Wolf, S. G. Chiuzbaian, L. Patthey, and R. Follath, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.96.117004 96, 117004 (2006);
5. X. J. Zhou, Junren Shi, T. Yoshida, T. Cuk, W. L. Yang, V. Brouet, J. Nakamura, N. Mannella, Seiki Komiya, Yoichi Ando, F. Zhou, W. X. Ti, J. W. Xiong, Z. X. Zhao, T. Sasagawa, T. Kakeshita, H. Eisaki, S. Uchida, A. Fujimori, Zhenyu Zhang, E. W. Plummer, R. B. Laughlin, Z. Hussain, and Z.-X. Shen, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.95.117001 95, 117001 (2005).
6. Z. B. Huang, W. Hanke, E. Arrigoni, and D. J. Scalapino, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.68.220507 68, 220507 (R) (2003).
7. R. Zeyher and M. L. Kulic, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.53.2850 53, 2850 (1996).
8. M. Grilli and C. Castellani, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.50.16880 50, 16880 (1994).
9. M. Mierzejewski, J. Zielinski, and P. Entel, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.57.590 57, 590 (1998).
10. D. Zanchi and H. J. Schulz, Europhys. Lett. EULEEJ 0295-5075 10.1209/epl/i1998-00462-x 44, 235 (1997);
11. D. Zanchi and H. J. Schulz, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.61.13609 61, 13609 (2000).
12. C. J. Halboth and W. Metzner, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.61.7364 61, 7364 (2000);
13. C. J. Halboth and W. Metzner, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.85.5162 85, 5162 (2000).
14. C. Honerkamp, M. Salmhofer, N. Furukawa, and T. M. Rice, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.63.035109 63, 035109 (2001).
15. S. W. Tsai and J. B. Marston, Can. J. Phys. CJPHAD 0008-4204 10.1139/cjp-79-11-12-1463 79, 1463 (2001).
16. M. Salmhofer and C. Honerkamp, Prog. Theor. Phys. PTPKAV 0033-068X 10.1143/PTP.105.1 105, 1 (2001);
17. P. Kopietz and T. Busche, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.64.155101 64, 155101 (2001);
18. see also R. Shankar, Rev. Mod. Phys. RMPHAT 0034-6861 10.1103/RevModPhys.66.129 66, 129 (1994).
19. C. Honerkamp and M. Salmhofer, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.67.174504 67, 174504 (2003);
20. A. A. Katanin and A. P. Kampf, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.93.106406 93, 106406 (2004);
21. D. Rohe and W. Metzner, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.71.115116 71, 115116 (2005).
22. C. Honerkamp, D. Rohe, S. Andergassen, and T. Enss, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.70.235115 70, 235115 (2004);
23. C. Honerkamp, Eur. Phys. J. B EPJBFY 1434-6028 10.1007/PL00011117 21, 81 (2001).
24. fRG studies using ω -dependent couplings have been presented for an impurity problem by R. Hedden, V. Meden, T. Pruschke, and K. Schönhammer, J. Phys.: Condens. Matter JCOMEL 0953-8984 10.1088/0953-8984/16/29/019 16, 5279 (2004)
25. and recently by K. Tam, S.-W. Tsai, D. K. Campbell, and A. H. Castro Neto, cond-mat/0603055 (unpublished)
26. for a Hubbard-Holstein ladder; and for a two-patch 2D model, F. D. Klironomos and S. W. Tsai, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.74. 205109 74, 205109 (2006);
27. and for more discussion see also S. W. Tsai, A. H. Castro Neto, R. Shankar, and D. K. Campbell, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.72. 054531 72, 054531 (2005).
28. N. Bulut and D. J. Scalapino, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.54.14971 54, 14971 (1996).
29. T. Dahm, D. Manske, D. Fay, and L. Tewordt, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.54.12006 54, 12006 (1996);
30. T. S. Nunner, J. Schmalian, and K. H. Bennemann, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.59.8859 59, 8859 (1999).
31. A. Nazarenko and E. Dagotto, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.53.R2987 53, R2987 (1996).
32. O. Jepsen, O. K. Andersen, I. Dasgupta, and S. Savrasov, J. Phys. Chem. Solids JPCSAW 0022-3697 10.1016/S0022-3697(98)00089-4 59, 1718 (1998).
33. T. P. Devereaux, T. Cuk, Z.-X. Shen, and N. Nagaosa, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.93.117004 93, 117004 (2004);
34. T. P. Devereaux, A. Virosztek, and A. Zawadowski, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.51.505 51, 505 (1995).
35. T. P. Devereaux (unpublished).
36. C. Honerkamp (unpublished).
37. G. Sangiovanni, M. Capone, C. Castellani, and M. Grilli, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.94.026401 94, 026401 (2005).
38. Th. A. Maier, M. S. Jarrell, and D. J. Scalapino, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.96.047005 96, 047005 (2006).
39. H. C. Fu, C. Honerkamp, and D.-H. Lee, Europhys. Lett. EULEEJ 0295-5075 10.1209/epl/i2006-10082-0 75, 146 (2006).
40. Alexandru Macridin, Brian Moritz, Mark Jarrell, and Thomas Maier, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.97.056402 97, 056402 (2006).
41. H. Yamase and H. Kohno, J. Phys. Soc. Jpn. JUPSAU 0031-9015 10.1143/JPSJ.69.332 69, 332 (2000);
42. B. Valenzuela and M. A. H. Vozmediano, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.63.153103 63, 153103 (2001);
43. V. Hankevych, I. Grote, and F. Wegner, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.66.094516 66, 094516 (2002).