Exact results of an Ising model with three- and five-spin interactions on a square lattice

Physica A: Statistical Mechanics and its Applications

Volumn 319, Issue , 2003, Pages 311-318

  Lacková, Silvia ^a   Horiguchi, Tsuyoshi ^a  

^a TOHOKU UNIVERSITY   (Japan)

Author keywords

Eight vertex model; Exact solution; Ising model; Multi spin interactions

Indexed keywords

APPROXIMATION THEORY; MATHEMATICAL MODELS; STATISTICAL MECHANICS;

ISING MODELS;

CRYSTAL LATTICES;

EID: 0037363999     PISSN: 03784371     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0378-4371(02)01522-4     Document Type: Article

References (26)

1. I. Syozi, in: C. Domb, M.S. Green (Eds.), Phase Transitions and Critical Phenomena, Academic Press, New York, 1972 (Chapter 7).
2. Baxter R.J. Exactly Solved Models in Statistical Physics. 1982;Academic Press, New York.
3. Dembinski S.T., Wydro T. Phys. Stat. Sol. B. 76:1975;K123.
4. Blöte H.W.J. J. Appl. Phys. 50:1979;7401.
5. Baxter R.J. Phys. Rev. Lett. 26:1971;832.
6. Kadanoff L.P., Wegner F.J. Phys. Rev. B. 4:1971;3989.
7. Wu F.Y. Phys. Rev. B. 4:1971;2312.
8. Baxter R.J. Ann. Phys. 70:1972;193.
9. Hintermann A., Merlini D. Phys. Lett. A. 41:1972;208.
10. Wood D.W., Griffiths H.P. J. Phys. C. 5:1972;L253.
11. Merlini D., Hintermann A., Gruber C.H. Lett. Nuovo Cimento. 7:1973;815.
12. Merlini D. Lett. Nuovo Cimento. 8:1973;623.
13. Horiguchi T. Phys. Lett. A. 108:1984;353.
14. Horiguchi T., Gonçalves L.L. Physica A. 133:1985;460.
15. Horiguchi T. Physica A. 136:1986;109.
16. Baxter R.J., Wu F.Y. Phys. Rev. Lett. 31:1973;1294.
17. Baxter R.J., Wu F.Y. Aust. J. Phys. 27:1974;357.
18. Baxter R.J. Aust. J. Phys. 27:1974;369.
19. Köbler U., Mueller R., Smardz L., Maier D., Fischer K., Olefs B., Zinn W. Z. Phys. B. 100:1996;497.
20. Müller-Hartmann E., Köbler U., Smardz L. J. Magn. Magn. Mater. 173:1997;133.
21. Köbler U., Mueller R.M., Schnelle W., Fischer K. J. Magn. Magn. Mater. 188:1998;333.
22. Köbler U., Hoser A., Kawakami M., Chatterji T., Rebizant J. J. Magn. Magn. Mater. 205:1999;343.
23. Horiguchi T. Physica A. 130:1985;194.
24. Buzatu F.D., Huckaby D.A. Physica A. 299:2001;427.
25. Lacková S., Jaščur M. Phys. Rev. E. 64:2001;036 126.
26. Vaks V.G., Larkin A.I., Ovchinnikov Yu.N. Sov. Phys. JETP. 22:1966;820.