Phase diagram of the two-dimensional Ising model with random competing interactions

Physics Letters, Section A: General, Atomic and Solid State Physics

Volumn 373, Issue 30, 2009, Pages 2525-2528

  Salmon, Octavio R ^a   de Sousa, J Ricardo ^b,c   Nobre, Fernando D ^a,c  

^a CENTRO BRASILEIRO DE PESQUISAS FÍSICAS   (Brazil)

^b FEDERAL UNIVERSITY OF AMAZONAS   (Brazil)

^c NATIONAL INSTITUTE OF SCIENCE AND TECHNOLOGY FOR COMPLEX SYSTEMS   (Brazil)

Author keywords

Competing interaction Ising model; Effective field theory; Phase diagram

Indexed keywords

FERROMAGNETIC MATERIALS; FERROMAGNETISM; ISING MODEL; MATHEMATICAL OPERATORS;

COMPETING INTERACTIONS; DIFFERENTIAL OPERATORS; EFFECTIVE FIELD THEORY; FINITE CLUSTERS; LOW TEMPERATURES; NEAREST-NEIGHBOR INTERACTIONS; NEXT NEAREST NEIGHBOR INTERACTION; TWO-DIMENSIONAL ISING MODEL;

PHASE DIAGRAMS;

EID: 67649479255     PISSN: 03759601     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.physleta.2009.05.035     Document Type: Article

References (32)

1. Maletta H. In: Thorpe M.F. (Ed). Excitations in Disordered Systems (1982), Plenum Press, New York
2. Maletta H. In: van Hemmen J.L., and Morgenstern I. (Eds). Heidelberg Colloquium on Spin Glasses. Lecture Notes in Physics vol. 192 (1983), Springer-Verlag, Berlin
3. Belanger D.P. In: Young A.P. (Ed). Spin Glasses and Random Fields (1998), World Scientific, Singapore
4. Katsura S., and Fujimori S. J. Phys. C 7 (1974) 2506
5. Barber M.N. J. Phys. A: Math. Gen. 12 (1979) 679
6. Wu F.Y. Phys. Rev. B 4 (1971) 2312
7. Oitmaa J. J. Phys. A: Math. Gen. 14 (1981) 1159
8. Swendsen R.H., and Krinsky S. Phys. Rev. Lett. 43 (1979) 177
9. Landau D.P. Phys. Rev. B 21 (1980) 1285
10. Binder K., and Landau D.P. Phys. Rev. B 21 (1980) 1941
11. Landau D.P., and Binder K. Phys. Rev. B 31 (1985) 5946
12. Morán-López J.L., Aguilera-Granja F., and Sanchez J.M. Phys. Rev. B 48 (1993) 3519
13. Morán-López J.L., Aguilera-Granja F., and Sanchez J.M. J. Phys. Condens. Matter 6 (1994) 9759
14. Buzano C., and Pretti M. Phys. Rev. B 56 (1997) 636
15. Tanaka K., Horiguchi T., and Morita T. Phys. Lett. A 165 (1992) 266
16. Plascak J.A. Physica A 183 (1992) 563
17. Oliveira P.M., Tsallis C., and Schwachheim G. Phys. Rev. B 29 (1984) 2755
18. Blöte H.W.J., Compagner A., and Hoogland A. Physica A 141 (1987) 375
19. Nightingale M.P. Phys. Lett. A 59 (1977) 486
20. Blöte H.W., and Nightingale M.P. Physica A 134 (1985) 274
21. Slotte P.A. J. Phys. C 16 (1983) 2935
22. Zandvliet H.J.W. Europhys. Lett. 73 (2006) 747
23. Aguilera-Granja F., and Morán-López J.L. J. Phys. Condens. Matter 5 (1993) A195
24. Malakis A., Kalozoumis P., and Tyraskis N. Eur. Phys. J. B 50 (2006) 63
25. Monroe J.L., and Kim S.-Y. Phys. Rev. E 76 (2007) 021123
26. Kalz A., Honecker A., Fuchs S., and Pruschke T. Eur. Phys. J. B 65 (2008) 533
27. dos Anjos R.A., Roberto Viana J., and Ricardo de Sousa J. Phys. Lett. A 372 (2008) 1180
28. O'Hare A., Kusmartsev F.V., and Kugel K.I. Phys. Rev. B 79 (2009) 014439
29. Fytas N.G., Malakis A., and Georgiou I. J. Stat. Mech. (2008) L07001
30. Fytas N.G., Malakis A., and Hadjiagapiou I.A. J. Stat. Mech. (2008) P11009
31. Honmura R., and Kaneyoshi T. J. Phys. C 12 (1979) 3979
32. Dalton N.W., and Wood D.W. J. Math. Phys. 10 (1969) 1271