Fermionic Sherrington-Kirkpatrick models with Hubbard interaction: Magnetism and electronic structure

Physical Review B - Condensed Matter and Materials Physics

Volumn 67, Issue 24, 2003, Pages

  Oppermann, R ^a   Sherrington, D ^b  

^a UNIVERSITY OF WÜRZBURG   (Germany)

^b UNIVERSITY OF OXFORD   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

ACCELERATION; ARTICLE; ATOMIC PARTICLE; ENERGY; MAGNETISM; MATHEMATICAL ANALYSIS; MODEL; MOLECULAR INTERACTION; THEORY;

EID: 0041527221     PISSN: 10980121     EISSN: 1550235X     Source Type: Journal    
DOI: 10.1103/PhysRevB.67.245111     Document Type: Article

References (50)

1. Magnetic Systems with Competing Interactions (Frustrated Spin Systems), edited by H. Diep (World Scientific, Singapore, 1994).
2. K.H. Fischer and J. Hertz, Spin Glasses (Cambridge University, Cambridge, England, 1991).
3. D. Sherrington and K. Mihill, J. Phys. C 4, 199 (1974).
4. G. Parisi, J. Phys. A 13, 1101 (1980).
5. G. Parisi, Field Theory, Disorder and Simulations (World Scientific, Singapore, 1992).
6. A.M. Finkelstein, Zh. Éksp. Teor. Fiz. 84, 168 (1983)
7. [Sov. Phys. JETP 57, 97 (1983)].
8. A. Georges, G. Kotliar, W. Krauth, and M.J. Rozenberg, Rev. Mod. Phys. 68, 13 (1996).
9. A.P. Balachandran, E. Ercolessi, G. Morandi, and A.M. Srivastava, Int. J. Mod. Phys. B 4, 2057 (1990).
10. D. Vollhardt, in Correlated Electron Systems, edited by V.J. Emery (World Scientific, Singapore, 1992).
11. W. Metzner, Phys. Rev. B 43, 8549 (1991).
12. A. Georges and M. Laloux, Mod. Phys. Lett. B 11, 913 (1997).
13. D. Sherrington and S. Kirkpatrick, Phys. Rev. Lett. 35, 1792 (1975).
14. K. Binder and A.P. Young, Rev. Mod. Phys. 58, 801 (1986).
15. S.K. Ghatak and D. Sherrington, J. Phys. C 10, 3149 (1977).
16. H. Feldmann and R. Oppermann, Phys. Rev. B 62, 9030 (2000).
17. J. Hertz, Phys. Rev. 19, 4796 (1979).
18. Y.Y. Goldschmidt and Pik-Yin Lai, Phys. Rev. Lett. 64, 2467 (1990).
19. G. Büttner and K.D. Usadel, Phys. Rev. B 42, 6385 (1990).
20. N. Read, S. Sachdev, and J. Ye, Phys. Rev. B 52, 384 (1995).
21. O. Motrunich, S.-C. Mau, D.A. Huse, and D.S. Fisher, Phys. Rev. B 61, 1160 (2000).
22. D. Fisher, Physica A 263, 222 (1999).
23. C. Pich, A.P. Young, H. Rieger, and N. Kawashima, Phys. Rev. Lett. 81, 5916 (1998).
24. M. Guo, R.N. Bhatt, and D. Huse, Phys. Rev. Lett. 72, 4137 (1994).
25. H. Rieger and A.P. Young, Phys. Rev. Lett. 72, 4141 (1994).
26. R. Oppermann, D. Sherrington, and M. Kiselev, cond-mat/0106066 (unpublished).
27. A. Crisanti, L. Leuzzi, and G. Parisi, J. Phys. A 35, 481 (2002).
28. R. Monasson and R. Zecchina, Phys. Rev. E 56, 1357 (1997).
29. I.P. Smorchkova, N. Samarth, J.M. Kikkawa, and D.D. Awschalom, Phys. Rev. Lett. 78, 3571 (1997).
30. I.P. Smorchkova, N. Samarth, J.M. Kikkawa, and D.D. Awschalom, Phys. Rev. B 58, R4238 (1998).
31. J.W. Negele and H. Orland, Quantum Many Particle Systems (Addison-Wesley, Reading, MA, 1988).
32. A. Georges, O. Parcollet, and S. Sachdev, Phys. Rev. B 63, 134406 (2001).
33. M. Mézard, G. Parisi, and M.A. Virasoro, Spin Glass Theory and Beyond (World Scientific, Singapore, 1987).
34. R. Oppermann and B. Rosenow, Europhys. Lett. 41, 525 (1998).
35. S.R. Johnson and D.E. Khmelnitskii, J. Phys.: Condens. Matter 8, 3363 (1996).
36. V. Dotsenko, A.B. Harris, D. Sherrington, and R.B. Stinchcombe, J. Phys. A 28, 3093 (1995).
37. R. Shankar, Rev. Mod. Phys. 66, 129 (1994).
38. J.L. Cardy and A.J. Mc Kane, Nucl. Phys. B 257, 383 (1985).
39. A. Falicov and A.N. Berker, Phys. Rev. Lett. 76, 4380 (1996).
40. F.C. Chou, N.R. Belk, M.A. Kastner, R.J. Birgeneau, and A. Aharony, Phys. Rev. Lett. 75, 2204 (1995).
41. A.L. Éfros and B.I. Shklovskii, J. Phys. C 8, L49 (1975).
42. R. Oppermann and M. Binderberger, Ann. Phys. (Leipzig) 3, 494 (1994).
43. S. Sachdev, N. Read, and R. Oppermann, Phys. Rev. B 52, 10 286 (1995).
44. L.B. Ioffe and A.I. Larkin, Zh. Éksp. Teor. Fiz. 81, 707 (1981)
45. [Sov. Phys. JETP 54, 378 (1981)].
46. V.N. Popov and S.A. Fedotov, Zh. Éksp. Teor. Fiz. 94, 183 (1988)
47. [Sov. Phys. JETP 67, 535 (1988)].
48. M. Thomsen, M.F. Thorpe, T.C. Choy, D. Sherrington, and H.-J. Sommers, Phys. Rev. B 33, 1931 (1985).
49. I.Ya. Korenblit and E.F. Shender, Zh. Éksp. Teor. Fiz. 89, 1785 (1985)
50. [Sov. Phys. JETP 62, 1030 (1985)].