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Phase diagram of the classical Heisenberg model in a trimodal random field distribution

Author

Listed:
  • Santos-Filho, A.
  • Albuquerque, D.F. de
  • Santos-Filho, J.B.
  • Batista, T.S. Araujo

Abstract

The classical spin 1/2 Heisenberg model on a simple cubic lattice, with fluctuating bond interactions between nearest neighbors and in the presence of a random magnetic field, is investigated by effective field theory based on two-spin cluster. The random field is drawn from the asymmetric and anisotropic trimodal probability distribution. The fluctuating bond is extracted from the symmetric and anisotropic bimodal probability. We estimate the transition temperatures, and the phase diagram in the Tc- h, Tc- p and Tc−α planes. We observe that the temperature of the tricritical point decreases with the increase of disorder in exchange interactions until the system ceases to display tricritical behavior. The disorder of the interactions and reentrant phenomena depends on the trimodal distribution of the random field.

Suggested Citation

  • Santos-Filho, A. & Albuquerque, D.F. de & Santos-Filho, J.B. & Batista, T.S. Araujo, 2016. "Phase diagram of the classical Heisenberg model in a trimodal random field distribution," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 461(C), pages 133-139.
    • Handle: RePEc:eee:phsmap:v:461:y:2016:i:c:p:133-139
    DOI: 10.1016/j.physa.2016.05.047
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    References listed on IDEAS

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    1. Yüksel, Yusuf & Akıncı, Ümit & Polat, Hamza, 2012. "Random field effects on the phase diagrams of spin-1/2 Ising model on a honeycomb lattice," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 391(3), pages 415-422.
    2. Idogaki, Toshihiro & Uryû, Norikiyo, 1992. "A new effective field theory for the anisotropic Heisenberg ferromagnet," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 181(1), pages 173-186.
    3. de Albuquerque, Douglas F & de Arruda, Alberto S, 2002. "Heisenberg model in a random field: phase diagram and tricritical behavior," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 316(1), pages 13-18.
    4. de Albuquerque, Douglas F., 2000. "Behavior critical for bond diluted n-vector model in the effective field theory," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 287(1), pages 185-192.
    5. de Sousa, J.Ricardo & de Albuquerque, Douglas F., 1997. "Critical properties of the classical XY and classical Heisenberg models: A renormalization group study," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 236(3), pages 419-428.
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