Multicritical point relations in three dual pairs of hierarchical-lattice Ising spin glasses

Physical Review B - Condensed Matter and Materials Physics

Volumn 72, Issue 14, 2005, Pages

  Hinczewski, Michael ^a   Berker, A Nihat ^a  

^a NONE

Author keywords

[No Author keywords available]

Indexed keywords

EID: 29644442081     PISSN: 10980121     EISSN: 1550235X     Source Type: Journal    
DOI: 10.1103/PhysRevB.72.144402     Document Type: Article

References (32)

1. H. Nishimori, Prog. Theor. Phys. PTPKAV 0033-068X 66, 1169 (1981).
2. H. Nishimori and K. Nemoto, J. Phys. Soc. Jpn. JUPSAU 0031-9015 10.1143/JPSJ.71.1198 71, 1198 (2002).
3. J.-M. Maillard, K. Nemoto, and H. Nishimori, J. Phys. A JPHAC5 0305-4470 10.1088/0305-4470/36/38/301 36, 9799 (2003).
4. K. Takeda and H. Nishimori, Nucl. Phys. B NUPBBO 0550-3213 686, 377 (2004).
5. K. Takeda, T. Sasamoto, and H. Nishimori, J. Phys. A JPHAC5 0305-4470 10.1088/0305-4470/38/17/004 38, 3751 (2005).
6. A. N. Berker and S. Ostlund, J. Phys. C JPSOAW 0022-3719 10.1088/0022-3719/12/22/035 12, 4961 (1979).
7. M. Kaufman and R. B. Griffiths, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.24.496 24, R496 (1981).
8. M. Kaufman and R. B. Griffiths, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.30.244 30, 244 (1984).
9. M. Kaufman and D. Andelman, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.29.4010 29, 4010 (1984).
10. M. Kaufman, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.30.413 30, 413 (1984).
11. C. Itzykson and J. M. Luck, in Proceedings of the Brasov International Summer School, 1984 (unpublished).
12. H. Ottavi and G. Albinet, J. Phys. A JPHAC5 0305-4470 20, 2961 (1987).
13. P. Le Doussal and A. Georges, Yale University Report No. YCTP-P1-88, 1988 (unpublished).
14. P. Le Doussal and A. B. Harris, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.61.625 61, 625 (1988).
15. E. J. Hartford and S. R. McKay, J. Appl. Phys. JAPIAU 0021-8979 10.1063/1.350048 70, 6068 (1991).
16. S. R. McKay, A. N. Berker, and S. Kirkpatrick, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.48.767 48, 767 (1982).
17. G. Migliorini and A. N. Berker, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.57.426 57, 426 (1998).
18. D. Andelman and A. N. Berker, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.29.2630 29, 2630 (1984).
19. A. Falicov, A. N. Berker, and S. R. McKay, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.51.8266 51, 8266 (1995).
20. E. Domany, S. Alexander, D. Bensimon, and L. P. Kadanoff, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.28.3110 28, 3110 (1983).
21. J.-M. Langlois, A.-M. S. Tremblay, and B. W. Southern, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.28.218 28, 218 (1983).
22. R. B. Stinchcombe and A. C. Maggs, J. Phys. A JPHAC5 0305-4470 19, 1949 (1986).
23. T. A. S. Haddad, S. T. R. Pinho, and S. R. Salinas, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.61.3330 61, 3330 (2000).
24. J.-X. Le and Z. R. Yang, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.69.066107 69, 066107 (2004).
25. R. A. da Silveira and J.-P. Bouchaud, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.93.015901 93, 015901 (2004).
26. A. A. Migdal, Zh. Eksp. Teor. Fiz. ZETFA7 0044-4510 69, 1457 (1975)
27. A. A. Migdal, [Sov. Phys. JETP SPHJAR 0038-5646 42, 743 (1976)].
28. L. P. Kadanoff, Ann. Phys. (N.Y.) APNYA6 0003-4916 10.1016/0003-4916(76) 90066-X 100, 359 (1976).
29. A. Erbaş, A. Tuncer, B. Yücesoy, and A. N. Berker, Phys. Rev. E PLEEE8 1063-651X 72, 026129 (2005).
30. I. Syozi, in Phase Transitions and Critical Phenomena, edited by, C. Domb, and, M. S. Green, (Academic, London, 1972), Vol. 1, pp. 270-329.
31. K. Hui and A. N. Berker, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.62.2507 62, 2507 (1989).
32. F. Camia and C. M. Newman, J. Stat. Phys. JSTPBS 0022-4715 114, 1199 (2004).