Title variants
Languages of publication
Abstracts
The phase diagrams of spin-1/2 Ising model on a two-layer Bethe lattice with antiferromagnetic interactions for each layer and either antiferromagnetic or ferromagnetic interaction between the layers are investigated by using the pairwise approach for given values of coordination number q. The exact expressions of the order-parameters, response functions and free energy are obtained in terms of the recursion relations. The ground-state phase diagrams are calculated for given system parameters of the model. In the guidance of the ground-state phase diagrams, the temperature dependent phase diagrams of the model are also studied in detail for given coordination numbers q = 3, 4 and 6. It was found that the system presents only second-order phase transitions with different thermal behaviors for all values of q. In addition, two Néel temperatures, T_{N}, are found for q = 6 only.
Discipline
- 05.50.+q: Lattice theory and statistics (Ising, Potts, etc.)(see also 64.60.Cn Order-disorder transformations, and 75.10.Hk Classical spin models)
- 68.35.Rh: Phase transitions and critical phenomena
- 64.60.Cn: Order-disorder transformations(see also 81.30.Hd Constant-composition solid-solid phase transformations: polymorphic, massive, and order-disorder in materials science; for effects of disorder on superconducting transition temperature, see 74.62.En)
Journal
Year
Volume
Issue
Pages
127-134
Physical description
Dates
published
2009-08
received
2008-11-18
(unknown)
2009-05-14
Contributors
author
- Department of Physics, Erciyes University, 38039 Kayseri, Turkey
author
- Department of Physics, Erciyes University, 38039 Kayseri, Turkey
References
- 1. Z.B. Li, Z. Shuai, Q. Wang, H.J. Luo, L. Schülke, J. Phys. A, Math. Gen. 34, 6069 (2001)
- 2. A.M. Ferrenberg, D.P. Landau, J. Appl. Phys. 70, 6215 (1991)
- 3. M.L. Lyra, C.R. da Silva, Phys. Rev. B 47, 526 (1993)
- 4. J. Oitmaa, I.G. Enting, J. Phys. A, Math. Gen. 8, 1097 (1975)
- 5. A. Lipowski, M. Suzuki, Physica A 198, 227 (1993)
- 6. A. Lipowski, Physica A 250, 373 (1998)
- 7. T. Horiguchi, A. Lipowski, N. Tsushima, Physica A 224, 626 (1996)
- 8. L. Bahmad, A. Benyoussef, H. Ez-Zahraouy, J. Magn. Magn. Mater. 238, 115 (2002)
- 9. Z. Weihong, Phys. Rev. B 59, 387 (1999)
- 10. J. Wosiek, Phys. Rev. B 49, 15023 (1994)
- 11. S.H. Tsai, D.P. Landau, T.C. Schulthess, J. Appl. Phys. 91, 6884 (2002)
- 12. J.L. Monroe, Physica A 335, 563 (2004)
- 13. K.H. Höglund, A.W. Sandvik, Phys. Rev. Lett. 99, 027205 (2007)
- 14. A.W. Sandvik, A.V. Chubukov, S. Sachdev, Phys. Rev. B 51, 16483 (1995)
- 15. A.V. Chubukov, D.K. Morr, Phys. Rev. B 52, 3521 (1995)
- 16. L. Yin, M. Troyer, S. Chakravarty, Europhys. Lett. 42, 559 (1998)
- 17. Z. Weihong, Phys. Rev. B 55, 12267 (1997)
- 18. A.W. Sandvik, D.J. Scalapino, Phys. Rev. Lett. 72, 2777 (1994)
- 19. Y.M. Seidov, G.R. Shaulov, J. Phys., Condens. Matter 6, 9621 (1994)
- 20. F. Dujardin, B. Stebe, A. Ainane, M. Saber, Chinese J. Phys. 37, 479 (1999)
- 21. G. Wiatrowski, G. Bayreuther, K. Pruegl, J. Magn. Magn. Mater. 196-197, 26 (1999)
- 22. M.B. Taylor, B.L. Gyorffy, J. Phys., Condens. Matter 3, 4971 (1991)
- 23. A. Khater, M.A. Ghantous, M. Fresnau, J. Phys. D, Appl. Phys. 35, 951 (2002)
- 24. L. Trallori, P. Politi, A. Rettori, M.G. Pini, J. Phys., Condens. Matter 7, 7561 (1995)
- 25. D.P. Landau, K. Binder, Phys. Rev. B 41, 4786 (1990)
- 26. L. Peliti, M. Saber, Physica A 262, 505 (1999)
- 27. H. Ez-Zahraouy, L. Bahmad, A. Benyoussef, Physica A 358, 86 (2005)
- 28. M. Bengrine, A. Benyoussef, H. Ez-Zahraouy, F. Mhirech, Physica A 268, 149 (1999)
- 29. B. Laaboudi, M. Saber, M. Kerouad, Phys. Status Solidi B 212, 153 (1999)
- 30. T. Bouziane, Phys. Status Solidi B 217, 951 (2000)
- 31. A. Benyoussef, H. Ez-Zahraouy, J. Phys. I (France) 4, 393 (1994)
- 32. C.-K. Hu, N.Sh. Izmailian, K.B. Oganesyan, Phys. Rev. E 59, 6489 (1999)
- 33. L. Hao, Z.R. Yang, J. Phys. C, Solid State Phys. 20, L355 (1987)
- 34. J.L. Monroe, Phys. Rev. E 71, 017105 (2005)
Document Type
Publication order reference
Identifiers
YADDA identifier
bwmeta1.element.bwnjournal-article-appv116n204kz