Magnetism and phase separation in the ground state of the Hubbard model

European Physical Journal B

Volumn 27, Issue 4, 2002, Pages 473-481

  Zitzler, R ^a   Pruschke, Th ^b   Bulla, R ^b  

^a UNIVERSITY OF REGENSBURG   (Germany)

^b UNIVERSITY OF AUGSBURG   (Germany)

Author keywords

71.27.+a Strongly correlated electron systems ; 71.30.+h Metal insulator transitions and other electronic transitions ; 74.25.Jb Electronic structure

Indexed keywords

EID: 0042696206     PISSN: 14346028     EISSN: None     Source Type: Journal    
DOI: 10.1140/epjb/e2002-00180-3     Document Type: Article

References (52)

1. J. Hubbard, Proc. R. Soc. London A 276, 238 (1963); M.C. Gutzwiller, Phys. Rev. Lett. 10, 59 (1963); J. Kanamori, Prog. Theor. Phys. 30, 275 (1963)
2. J. Hubbard, Proc. R. Soc. London A 276, 238 (1963); M.C. Gutzwiller, Phys. Rev. Lett. 10, 59 (1963); J. Kanamori, Prog. Theor. Phys. 30, 275 (1963)
3. J. Hubbard, Proc. R. Soc. London A 276, 238 (1963); M.C. Gutzwiller, Phys. Rev. Lett. 10, 59 (1963); J. Kanamori, Prog. Theor. Phys. 30, 275 (1963)
4. See the original work in [1] and N.F. Mott, Rev. Mod. Phys. 40, 677 (1968); W.F. Brinkman, T.M. Rice, Phys. Rev. B 2, 4302 (1970)
5. See the original work in [1] and N.F. Mott, Rev. Mod. Phys. 40, 677 (1968); W.F. Brinkman, T.M. Rice, Phys. Rev. B 2, 4302 (1970)
6. P.W. Anderson, Solid State Phys. 14, 99 (1963); M. Cyrot, Physica B 91, 141 (1977)
7. P.W. Anderson, Solid State Phys. 14, 99 (1963); M. Cyrot, Physica B 91, 141 (1977)
8. H. Tasaki, Prog. Theor. Phys. 99, 489 (1998)
9. H.J. Schulz, Phys. Rev. Lett. 64, 1445 (1990)
10. P.W. Anderson, Science 235, 1196 (1987); P.A. Lee, N. Nagaosa, Phys. Rev. B 46, 5621 (1992)
11. P.W. Anderson, Science 235, 1196 (1987); P.A. Lee, N. Nagaosa, Phys. Rev. B 46, 5621 (1992)
12. The Hubbard Model, A Reprint Volume, edited by A. Montorsi (World Scientific Publ., Singapore 1992)
13. E.H. Lieb, The Hubbard model - Some Rigorous Results and Open Problems, Proceedings of the XIth International Congress of Mathematical Physics, Paris 1994, edited by D. Iagolnitzer (International Press, 1995), p. 392; H. Tasaki, J. Phys. Cond. Matt. 10, 4353 (1998).
14. E.H. Lieb, The Hubbard model - Some Rigorous Results and Open Problems, Proceedings of the XIth International Congress of Mathematical Physics, Paris 1994, edited by D. Iagolnitzer (International Press, 1995), p. 392; H. Tasaki, J. Phys. Cond. Matt. 10, 4353 (1998).
15. Y. Nagaoka, Phys. Rev. 147, 392 (1966)
16. W. Metzner, D. Vollhardt, Phys. Rev. Lett. 62, 324 (1989)
17. A. Georges, G. Kotliar, Phys. Rev. B 45, 6479 (1992); M. Jarrell, Phys. Rev. Lett. 69, 168 (1992)
18. A. Georges, G. Kotliar, Phys. Rev. B 45, 6479 (1992); M. Jarrell, Phys. Rev. Lett. 69, 168 (1992)
19. E. Müller-Hartmann, Z. Phys. B 76, 211 (1989)
20. T. Pruschke, M. Jarrell, J.K. Freericks, Adv. Phys. 42, 187 (1995); A. Georges, G. Kotliar, W. Krauth, M.J. Rozenberg, Rev. Mod. Phys. 68, 13 (1996)
21. T. Pruschke, M. Jarrell, J.K. Freericks, Adv. Phys. 42, 187 (1995); A. Georges, G. Kotliar, W. Krauth, M.J. Rozenberg, Rev. Mod. Phys. 68, 13 (1996)
22. P.G.J. van Dongen, Phys. Rev. Lett. 67, 757 (1991); Phys. Rev. B 50, 14016 (1994)
23. P.G.J. van Dongen, Phys. Rev. Lett. 67, 757 (1991); Phys. Rev. B 50, 14016 (1994)
24. P.G.J. van Dongen, Phys. Rev. B 54, 1584 (1996).
25. J.K. Freericks, M. Jarrell, Phys. Rev. Lett. 74, 186 (1995)
26. V.J. Emery, S. Kivelson, Physica C 209, 597 (1993)
27. C. Castellani, C. Di Castro, M. Grilli, Phys. Rev. Lett. 75, 4650 (1995)
28. V.J. Emery, S.A. Kivelson, H.Q. Lin, Phys. Rev. Lett. 64, 475 (1990)
29. E. Dagotto, Rev. Mod. Phys. 66, 763 (1994)
30. P. Fulde, Electron correlations in molecules and solids (Springer, Berlin 1995)
31. C.S. Hellberg, E. Manousakis, Phys. Rev. Lett. 78, 4609 (1997); L.P. Pryadko, S. Kivelson, D.W. Hone, Phys. Rev. Lett. 80, 5651 (1998); E. Eisenberg, R. Berkovits, D.A. Huse, B.L. Altshuler, cond-mat/0108523 (2001)
32. C.S. Hellberg, E. Manousakis, Phys. Rev. Lett. 78, 4609 (1997); L.P. Pryadko, S. Kivelson, D.W. Hone, Phys. Rev. Lett. 80, 5651 (1998); E. Eisenberg, R. Berkovits, D.A. Huse, B.L. Altshuler, cond-mat/0108523 (2001)
33. C.S. Hellberg, E. Manousakis, Phys. Rev. Lett. 78, 4609 (1997); L.P. Pryadko, S. Kivelson, D.W. Hone, Phys. Rev. Lett. 80, 5651 (1998); E. Eisenberg, R. Berkovits, D.A. Huse, B.L. Altshuler, cond-mat/0108523 (2001)
34. G. Su, Phys. Rev. B 54, R8281 (1996)
35. A. Tandon, Z. Wang, G. Kotliar, Phys. Rev. Lett. 83, 2046 (1999)
36. F. Becca, M. Capone, S. Sorella, Phys. Rev. B 62, 12700 (2000)
37. R. Bulla, A.C. Hewson, Th. Pruschke, J. Phys. Cond. Matt. 10, 8365 (1998)
38. K.G. Wilson, Rev. Mod. Phys. 47, 773 (1975); H.R. Krishna-murthy, J.W. Wilkins, K.G. Wilson, Phys. Rev. B 21, 1003 and 1044 (1980)
39. K.G. Wilson, Rev. Mod. Phys. 47, 773 (1975); H.R. Krishna-murthy, J.W. Wilkins, K.G. Wilson, Phys. Rev. B 21, 1003 and 1044 (1980)
40. T.A. Costi, Phys. Rev. Lett. 85, 1504 (2000)
41. W. Hofstetter, Phys. Rev. Lett. 85, 1508 (2000)
42. O. Sakai, Y. Shimizu, T. Kasuya, J. Phys. Soc. Jpn 58, 3666 (1989)
43. L. Laloux, A. Georges, W. Krauth, Phys. Rev. B 50, 3092 (1994)
44. Th. Pruschke, D.L. Cox, M. Jarrell, Phys. Rev. 47, 3553 (1993)
45. R. Bulla, Phys. Rev. Lett. 83, 136 (1999)
46. Th. Obermeier, Th. Pruschke, J. Keller, Phys. Rev. B 56, R8479 (1997)
47. D. Vollhardt, N. Blümer, K. Held, M. Kollar, J. Schlipf, M. Ulmke, Z. Phys. B 103, 283 (1997); M. Ulmke, Eur. Phys. J. B 1, 301 (1998)
48. D. Vollhardt, N. Blümer, K. Held, M. Kollar, J. Schlipf, M. Ulmke, Z. Phys. B 103, 283 (1997); M. Ulmke, Eur. Phys. J. B 1, 301 (1998)
49. P. Fazekas, E. Müller-Hartmann, Z. Phys. B 78, 69 (1990); G.S. Uhrig, Phys. Rev. Lett. 77, 3629 (1996)
50. P. Fazekas, E. Müller-Hartmann, Z. Phys. B 78, 69 (1990); G.S. Uhrig, Phys. Rev. Lett. 77, 3629 (1996)
51. D. Vollhardt, private communication; M. Vojta, private communication
52. D. Vollhardt, private communication; M. Vojta, private communication