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Phase transitions in the anisotropic Ashkin–Teller model

Author

Listed:
  • Bekhechi, S.
  • Benyoussef, A.
  • Elkenz, A.
  • Ettaki, B.
  • Loulidi, M.

Abstract

By using mean-field approximation (MFA) and Monte-Carlo (MC) simulations, we have studied the effect of the anisotropy on the phase diagrams of the Ashkin–Teller model (A.T.M.) on a hypercubic lattice. By varying the strength of the anisotropic parameter, partially ordered phases, connected by symmetry, and denoted by 〈σ〉 and 〈S〉 appear in all dimensions d>1 as in the three dimensional isotropic case for antiferromagnetic interactions. The MC simulations reduce the varieties of phase diagrams obtained from MFA to one variety. In d=2 the phase diagrams present Ising-like phase transitions while in d=3 a first order phase transition and then multicritical points appear.

Suggested Citation

  • Bekhechi, S. & Benyoussef, A. & Elkenz, A. & Ettaki, B. & Loulidi, M., 1999. "Phase transitions in the anisotropic Ashkin–Teller model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 264(3), pages 503-514.
    • Handle: RePEc:eee:phsmap:v:264:y:1999:i:3:p:503-514
    DOI: 10.1016/S0378-4371(98)00474-9
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