Properties of the multicritical point of ±J Ising spin glasses on the square lattice

Physical Review B - Condensed Matter and Materials Physics

Volumn 74, Issue 13, 2006, Pages

  Lessa, Jean C ^a   De Queiroz, S L A ^b  

^a DEPARTAMENTO DE CIÊNCIAS BIOLÓGICAS   (Brazil)

^b FEDERAL UNIVERSITY OF RIO DE JANEIRO   (Brazil)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 33750345253     PISSN: 10980121     EISSN: 1550235X     Source Type: Journal    
DOI: 10.1103/PhysRevB.74.134424     Document Type: Article

References (30)

1. H. Nishimori, Statistical Physics of Spin Glasses and Information Processing: An Introduction (Oxford University Press, Oxford, 2001).
2. A. Honecker, M. Picco, and P. Pujol, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.87.047201 87, 047201 (2001).
3. P. Le Doussal and A. B. Harris, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.61.625 61, 625 (1988).
4. H. Nishimori, C. Falvo, and Y. Ozeki, J. Phys. A JPHAC5 0305-4470 35, 8171 (2002).
5. H. Nishimori and K. Nemoto, J. Phys. Soc. Jpn. JUPSAU 0031-9015 10.1143/JPSJ.71.1198 71, 1198 (2002).
6. J. M. Maillard, K. Nemoto, and H. Nishimori, J. Phys. A JPHAC5 0305-4470 10.1088/0305-4470/36/38/301 36, 9799 (2003).
7. F. D. A. Aarão Reis, S. L. A. de Queiroz, and R. R. dos Santos, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.60.6740 60, 6740 (1999).
8. J. L. Jacobsen and M. Picco, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.65.026113 65, 026113 (2002).
9. S. L. A. de Queiroz and R. B. Stinchcombe, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.68.144414 68, 144414 (2003).
10. K. Takeda, T. Sasamoto, and H. Nishimori, J. Phys. A JPHAC5 0305-4470 10.1088/0305-4470/38/17/004 38, 3751 (2005).
11. H. Nishimori and M. Ohzeki, J. Phys. Soc. Jpn. JUPSAU 0031-9015 75, 034004 (2006).
12. S. L. A. de Queiroz, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.73. 064410 73, 064410 (2006).
13. H. W. J. Blöte, J. L. Cardy, and M. P. Nightingale, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.56.742 56, 742 (1986).
14. A Crisanti, G. Paladin, and A. Vulpiani, in Products of Random Matrices in Statistical Physics, edited by, H. K. Lotsch,, Springer Series in Solid State Sciences Vol. 104 (Springer, Berlin, 1993).
15. A. W. W. Ludwig and J. L. Cardy, Nucl. Phys. B NUPBBO 0550-3213 10.1016/0550-3213(87)90362-2 285, 687 (1987).
16. J. L. Jacobsen and J. L. Cardy, Nucl. Phys. B NUPBBO 0550-3213 10.1016/S0550-3213(98)00024-8 515, 701 (1998).
17. S. L. A. de Queiroz, J. Phys. A JPHAC5 0305-4470 10.1088/0305-4470/33/4/ 306 33, 721 (2000).
18. S. L. A. de Queiroz, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.51. 1030 51, 1030 (1995).
19. J. L. Cardy, J. Phys. A JPHAC5 0305-4470 10.1088/0305-4470/17/7/003 17, L385 (1984).
20. M. P. Nightingale, in Finite Size Scaling and Numerical Simulations of Statistical Systems, edited by, V. Privman, (World Scientific, Singapore, 1990).
21. U. Glaus, J. Phys. A JPHAC5 0305-4470 10.1088/0305-4470/20/9/008 20, L595 (1987).
22. F. Merz and J. T. Chalker, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.65.054425 65, 054425 (2002).
23. F. Merz and J. T. Chalker, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.66.054413 66, 054413 (2002).
24. S. L. A. de Queiroz, J. Phys. A JPHAC5 0305-4470 30, L447 (1997).
25. D. Stauffer and A. Aharony, Introduction to Percolation Theory, 2nd ed. (Taylor & Francis, London, 1994).
26. T. W. Burkhardt and B. Derrida, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.32.7273 32, 7273 (1985).
27. M. A. Yurishchev, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.55.3915 55, 3915 (1997).
28. M. Guo, R. N. Bhatt, and D. A. Huse, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.72.4137 72, 4137 (1994).
29. H. E. Stanley, Introduction to Phase Transitions and Critical Phenomena (Oxford University Press, Oxford, 1971).
30. M. Picco, A. Honecker, and P. Pujol, J. Stat. Mech.: Theory Exp. ZZZZZZ 1742-5468 (2006) P09006.