Comparing pertinent effects of antiferromagnetic fluctuations in the two- and three-dimensional Hubbard model

Physical Review B - Condensed Matter and Materials Physics

Volumn 80, Issue 7, 2009, Pages

  Katanin, A A ^a,b   Toschi, A ^a,c   Held, K ^c  

^a MAX PLANCK INSTITUT FÜR FESTKÖRPERFORSCHUNG   (Germany)

^b INSTITUTE OF METAL PHYSICS   (Russian Federation)

^c VIENNA UNIVERSITY OF TECHNOLOGY   (Austria)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 70249097315     PISSN: 10980121     EISSN: 1550235X     Source Type: Journal    
DOI: 10.1103/PhysRevB.80.075104     Document Type: Article

References (63)

1. J. Hubbard, Proc. R. Soc. London, Ser. A 276, 238 (1963) 10.1098/rspa.1963.0204
2. M. C. Gutzwiller, Phys. Rev. Lett. 10, 159 (1963) 10.1103/PhysRevLett.10. 159
3. J. Kanamori, Prog. Theor. Phys. 30, 275 (1963). 10.1143/PTP.30.275
4. E. H. Lieb and F. Y. Wu, Phys. Rev. Lett. 20, 1445 (1968). 10.1103/PhysRevLett.20.1445
5. W. Metzner and D. Vollhardt, Phys. Rev. Lett. 62, 324 (1989). 10.1103/PhysRevLett.62.324
6. A. Georges and G. Kotliar, Phys. Rev. B 45, 6479 (1992). 10.1103/PhysRevB.45.6479
7. A. Georges, G. Kotliar, W. Krauth, and M. Rozenberg, Rev. Mod. Phys. 68, 13 (1996). 10.1103/RevModPhys.68.13
8. R. Bulla, Phys. Rev. Lett. 83, 136 (1999). 10.1103/PhysRevLett.83.136
9. N. F. Mott, Rev. Mod. Phys. 40, 677 (1968) 10.1103/RevModPhys.40.677
10. N. F. Mott, Metal-Insulator Transitions (Taylor & Francis, London, 1990)
11. F. Gebhard, The Mott Metal-Insulator Transition (Springer, Berlin, 1997).
12. M. Jarrell, Phys. Rev. Lett. 69, 168 (1992). 10.1103/PhysRevLett.69.168
13. D. Vollhardt, N. Blümer, K. Held, M. Kollar, J. Schlipf, and M. Ulmke, Z. Phys. B: Condens. Matter 103, 283 (1997). 10.1007/s002570050375
14. E. Dagotto, Rev. Mod. Phys. 66, 763 (1994). 10.1103/RevModPhys.66.763 (Pubitemid 24821628)
15. N. E. Bickers, D. J. Scalapino, and S. R. White, Phys. Rev. Lett. 62, 961 (1989). 10.1103/PhysRevLett.62.961
16. Y. M. Vilk and A.-M. S. Tremblay, J. Phys. I 7, 1309 (1997). 10.1051/jp1:1997135
17. J. Polchinski, Nucl. Phys. B 231, 269 (1984) 10.1016/0550-3213(84)90287-6
18. D. Zanchi and H. J. Schulz, Phys. Rev. B 54, 9509 (1996) 10.1103/PhysRevB.54.9509
19. D. Zanchi and H. J. Schulz, Phys. Rev. B 61, 13609 (2000) 10.1103/PhysRevB.61.13609
20. C. J. Halboth and W. Metzner, Phys. Rev. B 61, 7364 (2000) 10.1103/PhysRevB.61.7364
21. C. Honerkamp, M. Salmhofer, N. Furukawa, and T. M. Rice, Phys. Rev. B 63, 035109 (2001) 10.1103/PhysRevB.63.035109
22. C. Honerkamp and M. Salmhofer, Phys. Rev. B 64, 184516 (2001). 10.1103/PhysRevB.64.184516
23. J. J. Deisz, D. W. Hess, and J. W. Serene, Phys. Rev. Lett. 76, 1312 (1996) 10.1103/PhysRevLett.76.1312
24. J. Altmann, W. Brenig, and A. P. Kampf, Eur. Phys. J. B 18, 429 (2000). 10.1007/s100510070029
25. B. Kyung, Phys. Rev. B 58, 16032 (1998) 10.1103/PhysRevB.58.16032
26. S. Moukouri, S. Allen, F. Lemay, B. Kyung, D. Poulin, Y. M. Vilk, and A.-M. S. Tremblay, Phys. Rev. B 61, 7887 (2000). 10.1103/PhysRevB.61.7887
27. D. Zanchi, Europhys. Lett. 55, 376 (2001) 10.1209/epl/i2001-00413-7
28. C. Honerkamp and M. Salmhofer, Phys. Rev. B 67, 174504 (2003) 10.1103/PhysRevB.67.174504
29. A. A. Katanin and A. P. Kampf, Phys. Rev. Lett. 93, 106406 (2004) 10.1103/PhysRevLett.93.106406
30. D. Rohe and W. Metzner, Phys. Rev. B 71, 115116 (2005). 10.1103/PhysRevB.71.115116 (Pubitemid 40771192)
31. M. H. Hettler, A. N. Tahvildar-Zadeh, M. Jarrell, T. Pruschke, and H. R. Krishnamurthy, Phys. Rev. B 58, R7475 (1998) 10.1103/PhysRevB.58.R7475
32. C. Huscroft, M. Jarrell, Th. Maier, S. Moukouri, and A. N. Tahvildarzadeh, Phys. Rev. Lett. 86, 139 (2001) 10.1103/PhysRevLett.86.139
33. A. I. Lichtenstein and M. I. Katsnelson, Phys. Rev. B 62, R9283 (2000) 10.1103/PhysRevB.62.R9283
34. G. Kotliar, S. Y. Savrasov, G. Pálsson, and G. Biroli, Phys. Rev. Lett. 87, 186401 (2001) 10.1103/PhysRevLett.87.186401
35. T. A. Maier, M. Jarrell, T. Pruschke, and M. H. Hettler, Rev. Mod. Phys. 77, 1027 (2005) 10.1103/RevModPhys.77.1027
36. E. Koch, G. Sangiovanni, and O. Gunnarsson, Phys. Rev. B 78, 115102 (2008). 10.1103/PhysRevB.78.115102
37. A. Schiller and K. Ingersent, Phys. Rev. Lett. 75, 113 (1995). 10.1103/PhysRevLett.75.113
38. V. Tokar and R. Monnier, arXiv:cond-mat/0702011 (unpublished).
39. A. Toschi, A. A. Katanin, and K. Held, Phys. Rev. B 75, 045118 (2007). 10.1103/PhysRevB.75.045118
40. Independently, a similar method, but with a cluster instead of a single-site as a starting point, was developed by C. Slezak, M. Jarrell, Th. Maier, and J. Deisz, arXiv:cond-mat/0603421 (unpublished).
41. Similar, albeit less elaborated (complete), ideas were also independently developed by H. Kusunose, J. Phys. Soc. Jpn. 75, 054713 (2006). 10.1143/JPSJ.75.054713
42. Susceptibilities have been recently calculated also by G. Li, H. Lee, and H. Monien, Phys. Rev. B 78, 195105 (2008). 10.1103/PhysRevB.78.195105
43. A. N. Rubtsov, M. I. Katsnelson, and A. I. Lichtenstein, Phys. Rev. B 77, 033101 (2008) 10.1103/PhysRevB.77.033101
44. S. Brener, H. Hafermann, A. N. Rubtsov, M. I. Katsnelson, and A. I. Lichtenstein, Phys. Rev. B 77, 195105 (2008). 10.1103/PhysRevB.77.195105
45. E. Z. Kuchinskii, I. A. Nekrasov, and M. V. Sadovskii, JETP Lett. 82, 198 (2005)
46. M. V. Sadovskii, I. A. Nekrasov, E. Z. Kuchinskii, Th. Pruschke, and V. I. Anisimov, Phys. Rev. B 72, 155105 (2005). 10.1103/PhysRevB.72.155105 (Pubitemid 43022164)
47. J. A. Hertz and D. M. Edwards, J. Phys. F: Met. Phys. 3, 2174 (1973). 10.1088/0305-4608/3/12/018
48. J. A. Hertz, Phys. Rev. B 14, 1165 (1976). 10.1103/PhysRevB.14.1165
49. T. Moriya, Spin Fluctuations in Itinerant Electron Magnetism (Springer, New York, 1985).
50. P. Monthoux, A. V. Balatsky, and D. Pines, Phys. Rev. Lett. 67, 3448 (1991) 10.1103/PhysRevLett.67.3448
51. P. Monthoux, A. V. Balatsky, and D. Pines, Phys. Rev. B 46, 14803 (1992). 10.1103/PhysRevB.46.14803
52. Ar. Abanov, A. V. Chubukov, and J. Schmalian, Adv. Phys. 52, 119 (2003). 10.1080/0001873021000057123
53. K. Byczuk, R. Bulla, R. Claessen, and D. Vollhardt, Int. J. Mod. Phys. B 16, 3759 (2002). 10.1142/S0217979202013031
54. For an elementary introduction, see K. Held, A. A. Katanin, and A. Toschi, Prog. Theor. Phys. Suppl. 176, 117 (2008). 10.1143/PTPS.176.117
55. For a review see, e.g., T. Timusk and B. W. Statt, Rep. Prog. Phys. 62, 61 (1999) 10.1088/0034-4885/62/1/002 and
56. A. Damascelli, Z. Hussain, and Z.-X. Shen, Rev. Mod. Phys. 75, 473 (2003). 10.1103/RevModPhys.75.473 (Pubitemid 36737414)
57. H. Park, K. Haule, and G. Kotliar, Phys. Rev. Lett. 101, 186403 (2008). 10.1103/PhysRevLett.101.186403
58. S. Paschen, T. Lühmann, S. Wirth, P. Gegenwart, O. Trovarelli, C. Geibel, F. Steglich, P. Coleman, and Q. Si, Nature (London) 432, 881 (2004) 10.1038/nature03129
59. J. Custers, P. Gegenwart, H. Wilhelm, K. Neumaier, Y. Tokiwa, O. Trovarelli, C. Geibel, F. Steglich, C. Pepin, and P. Coleman, Nature (London) 424, 524 (2003). 10.1038/nature01774 (Pubitemid 36975770)
60. V. I. Anisimov, A. I. Poteryaev, M. A. Korotin, A. O. Anokhin, and G. Kotliar, J. Phys.: Condens. Matter 9, 7359 (1997) 10.1088/0953-8984/9/35/010
61. A. I. Lichtenstein and M. I. Katsnelson, Phys. Rev. B 57, 6884 (1998) 10.1103/PhysRevB.57.6884
62. G. Kotliar, S. Y. Savrasov, K. Haule, V. S. Oudovenko, O. Parcollet, and C. A. Marianetti, Rev. Mod. Phys. 78, 865 (2006) 10.1103/RevModPhys.78.865
63. K. Held, Adv. Phys. 56, 829 (2007).