Low-temperature properties of the infinite-dimensional attractive Hubbard model

Physical Review A - Atomic, Molecular, and Optical Physics

Volumn 84, Issue 2, 2011, Pages

  Koga, Akihisa ^a   Werner, Philipp ^b  

^a TOKYO INSTITUTE OF TECHNOLOGY   (Japan)

^b ETH ZURICH   (Switzerland)

Author keywords

[No Author keywords available]

Indexed keywords

CONTINUOUS TIME; CRITICAL TEMPERATURES; DENSE SYSTEMS; DENSITY OF STATE; DILUTE SYSTEM; DIP STRUCTURES; DYNAMICAL MEAN-FIELD THEORY; HEAVY FERMION BEHAVIOR; QUANTUM MONTE CARLO METHODS; QUASI PARTICLES; SPATIAL DIMENSION; STRONG-COUPLING; SUPERFLUID GAP; SUPERFLUID ORDER PARAMETER; SUPERFLUID STATE;

MEAN FIELD THEORY; MONTE CARLO METHODS;

HUBBARD MODEL;

EID: 80052300454     PISSN: 10502947     EISSN: 10941622     Source Type: Journal    
DOI: 10.1103/PhysRevA.84.023638     Document Type: Article

References (54)

1. M. H. Anderson, J. R. Ensher, M. R. Matthews, C. E. Wieman, and E. A. Cornell, Science SCIEAS 0036-8075 10.1126/science.269.5221.198 269, 198 (1995).
2. C. A. Regal, M. Greiner, and D. S. Jin, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.92.040403 92, 040403 (2004).
3. S. Jochim, M. Bartenstein, A. Altmeyer, G. Hendl, S. Riedl, C. Chin, J. Hecker Denschlag, and R. Grimm, Science SCIEAS 0036-8075 10.1126/science.1093280 302, 2101 (2003). (Pubitemid 38017938)
4. M. W. Zwierlein, C. A. Stan, C. H. Schunck, S. M. F. Raupach, S. Gupta, Z. Hadzibabic, and W. Ketterle, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.91.250401 91, 250401 (2003).
5. T. Bourdel, L. Khaykovich, J. Cubizolles, J. Zhang, F. Chevy, M. Teichmann, L. Tarruell, S. J. J. M. F. Kokkelmans, and C. Salomon, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.93.050401 93, 050401 (2004).
6. J. P. Gaebler, J. T. Stewart, T. E. Drake, D. S. Jin, A. Perali, P. Pieri, and G. C. Strinati, Nat. Phys. PRLTAO 1745-2473 10.1038/nphys1709 6, 569 (2010).
7. Q. Chen and K. Levin, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.102.190402 102, 190402 (2009).
8. S. Tsuchiya, R. Watanabe, and Y. Ohashi, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.80.033613 80, 033613 (2009).
9. C. C. Chien, H. Guo, Y. He, and K. Levin, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.81.023622 81, 023622 (2010).
10. S. Q. Su, D. E. Sheehy, J. Moreno, and M. Jarrell, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.81.051604 81, 051604 (2010).
11. P. Pieri, L. Pisani, and G. C. Strinati, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.70.094508 70, 094508 (2004).
12. R. Watanabe, S. Tsuchiya, and Y. Ohashi, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.82.043630 82, 043630 (2010).
13. W. Metzner and D. Vollhardt, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.62.324 62, 324 (1989).
14. E. Müller-Hartmann, Z. Phys. B ZPCMDN 0722-3277 10.1007/BF01311397 74, 507 (1989).
15. A. Georges, G. Kotliar, W. Krauth, and M. J. Rozenberg, Rev. Mod. Phys. RMPHAT 0034-6861 10.1103/RevModPhys.68.13 68, 13 (1996).
16. T. Pruschke, M. Jarrell, and J. K. Freericks, Adv. Phys. ADPHAH 0001-8732 10.1080/00018739500101526 44, 187 (1995).
17. E. Gull, A. J. Millis, A. N. Rubtsov, A. I. Lichtenstein, M. Troyer, and P. Werner, Rev. Mod. Phys. RMPHAT 0034-6861 10.1103/RevModPhys.83.349 83, 349 (2011).
18. E. H. Lieb and F. Y. Wu, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.20.1445 20, 1445 (1968).
19. H. Shiba, Prog. Theor. Phys. PTPKAV 0033-068X 10.1143/PTP.48.2171 48, 2171 (1972).
20. M. Machida, S. Yamada, Y. Ohashi, and H. Matsumoto, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.74.053621 74, 053621 (2006). (Pubitemid 44838375)
21. F. Karim Pour, M. Rigol, S. Wessel, and A. Muramatsu, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.75.161104 75, 161104 (2007).
22. G. Xianlong, M. Rizzi, M. Polini, R. Fazio, M. P. Tosi, V. L. Campo Jr., and K. Capelle, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.98.030404 98, 030404 (2007). (Pubitemid 46135223)
23. Y. Fujihara, A. Koga, and N. Kawakami, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.79.013610 79, 013610 (2009).
24. A. Moreo and D. J. Scalapino, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.66.946 66, 946 (1991).
25. M. Randeria, e-print arXiv: cond-mat/9710223.
26. T. Paiva, R. R. dos Santos, R. T. Scalettar, and P. J. H. Denteneer, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.69.184501 69, 184501 (2004).
27. N. Dupuis, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.70.134502 70, 134502 (2004). (Pubitemid 40021846)
28. A. Koga, T. Higashiyama, K. Inaba, S. Suga, and N. Kawakami, J. Phys. Soc. Jpn. JUPSAU 0031-9015 10.1143/JPSJ.77.073602 77, 073602 (2008);
29. A. Koga, T. Higashiyama, K. Inaba, S. Suga, and N. Kawakami, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.79.013607 79, 013607 (2009).
30. J. K. Freericks, M. Jarrell, and D. J. Scalapino, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.48.6302 48, 6302 (1993).
31. Y. Y. Suzuki, S. Saito, and S. Kurihara, Prog. Theor. Phys. PTPKAV 0033-068X 10.1143/PTP.102.953 102, 953 (1999).
32. M. Keller, W. Metzner, and U. Schollwöck, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.86.4612 86, 4612 (2001). (Pubitemid 32471397)
33. M. Capone, C. Castellani, and M. Grilli, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.88.126403 88, 126403 (2002).
34. A. Garg, H. R. Krishnamurthy, and M. Randeria, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.72.024517 72, 024517 (2005). (Pubitemid 43406402)
35. A. Toschi, M. Capone, and C. Castellani, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.72.235118 72, 235118 (2005); (Pubitemid 43285339)
36. A. Toschi, P. Barone, M. Capone, and C. Castellani, New J. Phys. NJOPFM 1367-2630 10.1088/1367-2630/7/1/007 7, 7 (2005). (Pubitemid 40195481)
37. J. Bauer, A. C. Hewson, and N. Dupuis, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.79.214518 79, 214518 (2009);
38. J. Bauer and A. C. Hewson, Europhys. Lett. EULEEJ 0295-5075 10.1209/0295-5075/85/27001 85, 27001 (2009).
39. A. Privitera, M. Capone, and C. Castellani, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.81.014523 81, 014523 (2010).
40. A. Koga and P. Werner, J. Phys. Soc. Jpn. JUPSAU 0031-9015 10.1143/JPSJ.79.064401 79, 064401 (2010).
41. A. Georges, G. Kotliar, and W. Krauth, Z. Phys. B ZPCMDN 0722-3277 10.1007/BF01308748 92, 313 (1993).
42. M. Caffarel and W. Krauth, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.72.1545 72, 1545 (1994).
43. H. R. Krishna-murthy, J. W. Wilkins, and K. G. Wilson, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.21.1003 21, 1003 (1980).
44. R. Bulla, T. Costi, and Th. Pruschke, Rev. Mod. Phys. RMPHAT 0034-6861 10.1103/RevModPhys.80.395 80, 395 (2008). (Pubitemid 351533285)
45. O. Sakai and Y. Kuramoto, Solid State Commun. SSCOA4 0038-1098 10.1016/0038-1098(94)90589-4 89, 307 (1994).
46. E. Gull, P. Werner, O. Parcollet, and M. Troyer, Europhys. Lett. EULEEJ 0295-5075 10.1209/0295-5075/82/57003 82, 57003 (2008).
47. P. Werner, A. Comanac, L. de'Medici, M. Troyer, and A. J. Millis, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.97.076405 97, 076405 (2006); (Pubitemid 44273894)
48. P. Werner and A. J. Millis, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.75.085108 75, 085108 (2007).
49. S. F. Gull, in Maximum Entropy and Bayesian Methods in Science (Kluwer Academic, Dordrecht, 1989), p. 53;
50. J. Skilling, Maximum Entropy and Bayesian Methods in Science (Kluwer Academic, Dordrecht, 1989), p. 45.
51. R. N. Silver, D. S. Sivia, and J. E. Gubernatis, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.41.2380 41, 2380 (1990);
52. J. E. Gubernatis, M. Jarrell, R. N. Silver, and D. S. Sivia, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.44.6011 44, 6011 (1991).
53. W. F. Press, S. A. Teukolsky, W. T. Vetterling, and B. R. Flannery, Numerical Recipes (Cambridge University Press, Cambridge, 1992), p. 809.
54. A. F. Albuquerque, J. Magn. Magn. Mater. JMMMDC 0304-8853 10.1016/j.jmmm.2006.10.304 310, 1187 (2007).