Ising spin glass by the transfer matrix approach

Physical Review B - Condensed Matter and Materials Physics

Volumn 68, Issue 10, 2003, Pages

  Andrade, S ^a   Nogueira, E ^a   Coutinho, Sérgio ^b  

^a FEDERAL UNIVERSITY OF BAHIA   (Brazil)

^b FEDERAL UNIVERSITY OF PERNAMBUCO   (Brazil)

Author keywords

[No Author keywords available]

Indexed keywords

DIAMOND;

ARTICLE; CALCULATION; CHAOTIC DYNAMICS; ENTROPY; FRACTAL ANALYSIS; ISING SPIN GLASS; MATHEMATICAL ANALYSIS; MODEL; PHASE TRANSITION; PROBABILITY; ROTATION; TEMPERATURE SENSITIVITY; THERMODYNAMICS;

EID: 0142213713     PISSN: 10980121     EISSN: 1550235X     Source Type: Journal    
DOI: 10.1103/PhysRevB.68.104523     Document Type: Article

References (55)

1. K. Binder and A.P. Young, Rev. Mod. Phys. 58, 801 (1986).
2. K.H. Fischer and J.A. Hertz, Spin Glasses (Cambridge University Press, Cambridge, 1991).
3. M. Mézard, G. Parisi, and M.A. Virasoro, Spin Glass Theory and Beyond (World Scientific, Singapore, 1987).
4. Spin Glasses and Random Fields, edited by A.P. Young (World Scientific, Singapore, 1998).
5. E. Marinari, G. Parisi, F. Ricci-Tersenghi, J.J. Ruiz-Lorenzo, and F. Zuliani, J. Stat. Phys. 98, 973 (2000)
6. W.L. McMillan, J. Phys. C17, 3179 (1984)
7. A.J. Bray and M.A. Moore; Phys. Rev. B. 31, 631 (1985)
8. A.J. Bray M.A. Moore, Phys. Rev. Lett. 58, 57 (1987)
9. Phys. Rev. Lett. D.S. Fisher and D.A. Huse, 56, 1601 (1986)
10. D.S. Fisher D.A. Huse, Phys. Rev. B. 38, 386 (1988).
11. C.M. Newman and D.L. Stein, cond-mat/0301403 (unpublished).
12. H. Rieger, Frustrated Systems: Ground State Properties via Combinatorial Optimization, Lecture Notes in Physics Vol. 501 (Springer-Verlag, Heidelberg, 1998)
13. N. Kawashima and H. Rieger, Europhys. Lett. 39, 85 (1997).
14. A.K. Hartmann, Europhys. Lett. 40, 429 (1997)
15. Euro Phys. Lett. A. K. Hartmann 44, 249 (1998)
16. A.K. Hartmann; Phys. Rev. B. 59, 3617 (1999)
17. A.K. Hartmann, Phys. Rev. E 59, 84 (1999).
18. B.A. Berg, U.E. Hansmann, and T. Celik; Phys. Rev. B. 50, 16-444 (1994).
19. M. Mézard and G. Parisi, Eur. Phys. J. B 20, 217 (2001).
20. R.R.P. Singh and S. Chakravarty; Phys. Rev. Lett. 57, 245 (1986)
21. L. Klein, J. Adler, A. Aharony, A.B. Harris, and Y. Meir; Phys. Rev. B. 43, 11-249 (1991).
22. R.N. Bhatt and A.P. Young; Phys. Rev. Lett. 54, 924 (1985)
23. Phys. Rev. Lett. A.T. Ogielski and I. Morgenstern, 54, 928 (1985)
24. R.N. Bhatt and A.P. Young; Phys. Rev. B. 37, 5606 (1988).
25. B.W. Southern and A.P. Young, J. Phys. C 10, 2179 (1977)
26. N. Kawashima and A.P. Young; Phys. Rev. B. 53, R484 (1996).
27. A.A. Migdal, Zh. Eksp. Teor. Fiz. 69, 810 (1975)
28. A.A. Migdal, Sov. Phys. JETP. 42, 413 (1976)
29. A.A. Migdal, Sov. Phys. JETP A.A. Migdal. 69, 1457 (1975)
30. A.A. Migdal, Sov. Phys. JETP A.A. Migdal. 42, 743 (1976).
31. L.P. Kadanoff, Ann. Phys. (N.Y.) 100, 359 (1976).
32. G. Forgácz and A. Zawadowski, Acta Phys. Acad. Sci. Hung. 42, 353 (1977).
33. A.N. Berker and S. Ostlund, J. Phys. C 12, 4961 (1979).
34. P.M. Bleher and E. Zälys, Commun. Math. Phys. 67, 17 (1979).
35. S. Prakash and I.A. Campbell, Physica A 235, 507 (1997).
36. E. Nogueira Jr., S. Coutinho, F.D. Nobre, and E.M.F. Curado, Physica A 271, 125 (1999).
37. E.M.F. Curado, F.D. Nobre, and S. Coutinho; Phys. Rev. E. 60, 3761 (1999).
38. Fernando D. Nobre, Physica A 280, 456 (2000).
39. M.A. Moore, Herman Bokil, and Barbara Drossel; Phys. Rev. Lett. 81, 4252 (1998)
40. Barbara Drossel, Herman Bokil, M.A. Moore, and A.J. Bray, Eur. Phys. J. B. 13, 369 (2000)
41. Herman Bokil, Barbara Drossel, and M.A. Moore; Phys. Rev. B. 62, 946 (2000)
42. Barbara Drossel and M.A. Moore, Eur. Phys. J. B 21, 589 (2001)
43. Barbara Drossel, Herman Bokil, and M.A. Moore; Phys. Rev. E 62, 7690 (2000).
44. S.T.R. Pinho, T.A.S. Haddad, and S.R. Salinas, Physica A 257, 515 (1998)
45. A.C.N. Magalhães, S.R. Salinas, and C. Tsallis, J. Phys. A 31, L567 (1998)
46. T.A.S. Haddad, S.T.R. Pinho, and S.R. Salinas; Phys. Rev. E 61, 3330 (2000)
47. E. Nogueira, Jr., R.F.S. Andrade, and S. Coutinho, Eur. Phys. J. B23, 373 (2001).
48. S. Franz, G. Parisi, and M.A. Virasoro, J. Phys. (France) 4, 1657 (1994).
49. R. Rajiv, P. Sing, and M.E. Fischer, J. Appl. Phys. 63, 3994 (1988).
50. O.D. da Silva-Neto, DSc. thesis, Universidade Federal de Pernambuco (1999).
51. R.F.S. Andrade; Phys. Rev. E 59, 150 (1999).
52. A. Crisanti, G. Paladin, and A. Vulpiani, Products of Random Matrices in Statistical Physics, Spinger Series in Solid State Sciences Vol. 104 (Springer-Verlag, Berlin, 1993).
53. I. Morgenstern and K. Binder; Phys. Rev. B. 22, 288 (1980).
54. L.W. Bernardi, S. Prakash, and I.A. Campbell; Phys. Rev. Lett. 77, 2798 (1996).
55. E. Nogueira Jr., S. Coutinho, F.D. Nobre, and E.M.F. Curado, Physica A 257, 365 (1998).