Energetic balance of the superconducting transition across the BCS - Bose Einstein crossover in the attractive Hubbard model

Physical Review B - Condensed Matter and Materials Physics

Volumn 72, Issue 23, 2005, Pages

  Toschi, A ^a,b   Capone, M ^a,c   Castellani, C ^a  

^a UNIVERSITÀ DI ROMA LA SAPIENZA   (Italy)

^b MAX PLANCK INSTITUT FÜR FESTKÖRPERFORSCHUNG   (Germany)

^c ISC CNR   (Italy)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 33344473812     PISSN: 10980121     EISSN: 1550235X     Source Type: Journal    
DOI: 10.1103/PhysRevB.72.235118     Document Type: Article

References (42)

1. R. Micnas, J. Ranninger, and S. Robaszkiewicz, Rev. Mod. Phys. RMPHAT 0034-6861 10.1103/RevModPhys.62.113 62, 113 (1990).
2. C. A. R. Sá de Melo, M. Randeria, and J. R. Engelbrecht, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.71.3202 71, 3202 (1993);
3. R. Haussmann, Z. Phys. B: Condens. Matter ZPCMDN 0722-3277 10.1007/BF01344058 91, 291 (1993);
4. F. Pistolesi and G. C. Strinati, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.53.15168 53, 15168 (1996);
5. N. Andrenacci, A. Perali, P. Pieri, and G. C. Strinati, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.60.12410 60, 12410 (1999);
6. S. Allen and A.-M. S. Tremblay, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.64.075115 64, 075115 (2001);
7. B. Kyung, S. Allen, and A.-M. S. Tremblay, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.64.075116 64, 075116 (2001).
8. S. H. Pan, J. P. O'Neal, R. L. Badzey, C. Chamon, H. Ding, J. R. Engelbrecht, Z. Wang, H. Eisaki, S. Uchida, A. K. Gupta, K.-W. Ng, E. W. Hudson, K. M. Lang, and J. C. Davis, Nature (London) NATUAS 0028-0836 10.1038/35095012 413, 282 (2001).
9. I. Iguchi, T. Yamaguchi, and A. Sugimoto, Nature (London) NATUAS 0028-0836 10.1038/35086540 412, 420 (2001).
10. T. Timusk and B. Statt, Rep. Prog. Phys. RPPHAG 0034-4885 10.1088/0034-4885/62/1/002 62, 61 (1999).
11. Y. J. Uemura, A. Keren, L. P. Le, G. M. Luke, B. J. Sternlieb, W. D. Wu, J. H. Brewer, R. L. Whetten, S. M. Huang, Sophia Lin, R. B. Kaner, F. Diederich, S. Donovan, G. Grüner, and K. Holczer, Nature (London) NATUAS 0028-0836 10.1038/352605a0 352, 605 (1991).
12. H. Ding, J. C. Campunzano, M. R. Norman, M. Randeria, T. Yokoya, T. Takahashi, T. Takeuchi, T. Mochiku, K. Kadowaki, P. Guptasarma, and D. G. Hinks, J. Phys. Chem. Solids JPCSAW 0022-3697 10.1016/S0022-3697(98)00136-X 59, 1888 (1998).
13. Y. J. Uemura, G. M. Luke, B. J. Sternlieb, J. H. Brewer, J. F. Carolan, W. N. Hardy, R. Kadono, J. R. Kempton, R. F. Kiefl, S. R. Kreitzman, P. Mulhern, T. M. Riseman, D. Ll. Williams, B. X. Yang, S. Uchida, H. Takagi, J. Gopalakrishnan, A. W. Sleight, M. A. Subramanian, C. L. Chien, M. Z. Cieplak, Gang Xiao, V. Y. Lee, B. W. Statt, C. E. Stronach, W. J. Kossler, and X. H. Yu, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.62.2317 62, 2317 (1989).
14. A. Paramekanti, M. Randeria, T. V. Ramakrishnan, and S. S. Mandal, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.62.6786 62, 6786 (2000).
15. L. Benfatto, S. Caprara, C. Castellani, A. Paramekanti, and M. Randeria, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.63.174513 63, 174513 (2001).
16. M. Capone, M. Fabrizio, C. Castellani, and E. Tosatti, Science SCIEAS 0036-8075 10.1126/science.1071122 296, 2364 (2002).
17. M. Capone, M. Fabrizio, C. Castellani, and E. Tosatti, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.93.047001 93, 047001 (2004).
18. A. Georges, G. Kotliar, W. Krauth, and M. J. Rozenberg, Rev. Mod. Phys. RMPHAT 0034-6861 10.1103/RevModPhys.68.13 68, 13 (1996).
19. A. Garg, H. R. Krishnamurthy, and M. Randeria, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.72.024517 72, 024517 (2005).
20. M. Keller, W. Metzner, and U. Schollwöck, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.86.4612 86, 4612 (2001).
21. A. Toschi, P. Barone, C. Castellani, and M. Capone, New J. Phys. NJOPFM 1367-2630 7, 7 (2005).
22. M. Capone, C. Castellani, and M. Grilli, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.88.126403 88, 126403 (2002).
23. M. Caffarel and W. Krauth, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.72.1545 72, 1545 (1994).
24. A. Chattopadhyay, A. J. Millis, and S. Das Sarma, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.61.10738 61, 10738 (2000).
25. W. Chung and J. K. Freericks, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.57.11955 57, 11955 (1998).
26. For a discussion of the current vertex in the Bethe lattice, see also N. Blümer and P. G. J. Van Dongen, in " Concepts in Electron Correlation, " edited by, A. C. Hewson, and, V. Zlatic,, NATO Science Series (Kluwer, 2003).
27. L. Benfatto, A. Toschi, and S. Caprara, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.69.184510 69, 184510 (2004).
28. The value of the Heisenberg interaction is given by J= D2 / (dU) only at half-filling, otherwise a prefactor weakly dependent on the density appears. See, e.g., M. Keller, W. Metzner, and U. Schollwöck, J. Low Temp. Phys. JLTPAC 0022-2291 10.1023/A:1013823514926 126, 1147 (2002).
29. Y. J. Uemura, Solid State Commun. SSCOA4 0038-1098 10.1016/S0038-1098(03) 00232-1 126, 425 (2003).
30. J. L. Tallon, J. W. Loram, J. R. Cooper, C. Panagopoulos, and C. Bernhard, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.68.180501 68, 180501 (R) (2003).
31. T. K. Kopeć, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.65. 054509 65, 054509 (2002).
32. H. J. A. Molegraaf, C. Presura, D. Van Der Marel, P. H. Kes, and M. Li, Science SCIEAS 0036-8075 10.1126/science.1069947 295, 2239 (2002).
33. A. Toschi, M. Capone, M. Ortolani, P. Calvani, S. Lupi, and C. Castellani, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.95.097002 95, 097002 (2005).
34. J. E. Hirsch, Science SCIEAS 0036-8075 10.1126/science.1070866 295, 2226 (2002).
35. A. F. Santander-Syro, R. P. S. M. Lobo, N. Bontemps, Z. Konstantinovic, Z. Z. Li, and H. Raffy, Europhys. Lett. EULEEJ 0295-5075 10.1209/epl/i2003- 00388-9 62, 568 (2003).
36. C. C. Homes, S. V. Dordevic, D. A. Bonn, Ruixing Liang, and W. N. Hardy, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.69.024514 69, 024514 (2004).
37. M. Ortolani, P. Calvani, and S. Lupi, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.94.067002 94, 067002 (2005).
38. G. Deutscher, A. F. Santander-Syro, and N. Bontemps, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.72.092504 72, 092504 (2005).
39. J. W. Loram, J. L. Luo, J. R. Cooper, W. Y. Liang, and J. L. Tallon, Physica C PHYCE6 0921-4534 341-348, 831 (2000).
40. M. H. Hettler, M. Mukherjee, M. Jarrell, and H. R. Krishnamurthy, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.61.12739 61, 12739 (2000).
41. G. Kotliar, S. Y. Savrasov, G. Palsson, and G. Biroli, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.87.186401 87, 186401 (2001).
42. B. Kyung, A. Georges, and A.-M. S. Tremblay, cond-mat/0508645 (unpublished).