Exact location of the multicritical point for finite-dimensional spin glasses: A conjecture

Journal of Physics A: Mathematical and General

Volumn 38, Issue 17, 2005, Pages 3751-3774

  Takeda, Koujin ^a   Sasamoto, Tomohiro ^a   Nishimori, Hidetoshi ^a  

^a TOKYO INSTITUTE OF TECHNOLOGY   (Japan)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 22144495532     PISSN: 03054470     EISSN: None     Source Type: Journal    
DOI: 10.1088/0305-4470/38/17/004     Document Type: Article

References (39)

1. Mézard M, Parisi G and Virasoro M A 1986 Spin Glass Theory and Beyond (Singapore: World Scientific)
2. Young A P (ed) 1997 Spin Glasses and Random Fields (Singapore: World Scientific)
3. Nishimori H 2001 Statistical Physics of Spin Glasses and Information Processing: An Introduction (Oxford: Oxford University Press)
4. Nishimori H and Nemoto K 2002 J. Phys. Soc. Japan 71 1198
5. Maillard J-M, Nemoto K and Nishimori H 2003 J. Phys. A: Math. Gen. 36 9799
6. [41 Takeda K and Nishimori H 2004 Nucl. Phys. B 686 377
7. Wegner F 1971 J. Math. Phys. 12 2259
8. Wu F and Wang Y 1976 J. Math. Phys. 17 439
9. Nishimori H 1981 Prog. Theor. Phys. 66 1169
10. Singh R R P and Adler J 1996 Phys. Rev. B 54 364
11. Aarao Reis F D A, de Queiroz S L A and dos Santos R R 1999 Phys. Rev. B 60 6740
12. Honecker A, Picco M and Pujol P 2001 Phys. Rev. Lett. 87 047201
13. Merz F and Chalker J T 2002 Phys. Rev. B 65 054425
14. Ito N and Ozeki Y 2003 Physica A 321 262
15. de Queiroz S L A and Stinchcombe R 2003 Phys. Rev. B 68 144414
16. Arakawa G, Ichinose I, Matsui T and Takeda K 2005 Nucl. Phys. B 709 296
17. Kitaev A 2003 Ann. Phys., NY 303 2
18. Dennis E, Kitaev A, Landahl A and Preskill J 2002 J. Math. Phys. 43 4452
19. Wang C, Harrington J and Preskill J 2003 Ann. Phys., NY 303 31
20. See e.g. Itzykson C and Drouffe J-M 1989 Statistical Field Theory vol I (Cambridge: Cambridge University Press)
21. Ito N 1993 Physica A 192 604
22. Ito N 1993 Physica A 196 591
23. Ito N, Matsuhisa T and Kitatani H 1998 J. Phys. Soc. Japan 67 1188
24. Ozeki Y and Ito N 1998 J. Phys. A: Math. Gen. 31 5451
25. Ito N, Ozeki Y and Kitatani H 1999 J. Phys. Soc. Japan 68 803
26. Ohno T, Arakawa G, Ichinose I and Matsui T 2004 Nucl. Phys. B 697 462
27. José J V, Kadanoff L P, Kirkpatrick S and Nelson D R 1977 Phys. Rev. B 16 1217
28. Elitzur S, Pearson R B and Shigemitsu J 1979 Phys. Rev. D 19 3698
29. Villain J 1975 J. Phys. 36 581
30. Ozeki Y and Nishimori H 1993 J. Phys. A: Math. Gen. 26 3399
31. Korshunov S E 1993 Phys. Rev. B 48 1124
32. Tang L-H 1996 Phys. Rev. B 54 3350
33. Mudry C and Wen X-G 1999 Nucl. Phys. B 549 613
34. Griffiths R B 1964 Phys. Rev. 136 A437
35. Horiguchi T and Morita T 1982 J. Phys. A: Math. Gen. 15 L75
36. Horiguchi T and Morita T 1981 J. Phys. A: Math. Gen. 14 2715
37. Horiguchi T and Morita T 1979 Phys. Lett. A 74 340
38. Ozeki Y in preparation
39. Holme P, Kim B J and Minnhagen P 2003 Phys. Rev. B 67 104510