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Coherent-anomaly method applied to the eight-vertex model

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  • Minami, Kazuhiko
  • Suzuki, Masuo

Abstract

The coherent-anomaly method (CAM) in terms of the multi-effective-field theory is applied to the eight-vertex model in which critical exponents depend on interaction energies of the Hamiltonian and vary continuously with them. Series of approximations are constructed by the rule which we have already proposed and the critical exponent γ is estimated using the exact critical temperature Tc. The results that are obtained lie within an error of 1.2 percent for the exact value in a region of interaction energies and this shows that the CAM is applicable to a model which does not satisfy the ordinary universality hypothesis.

Suggested Citation

  • Minami, Kazuhiko & Suzuki, Masuo, 1992. "Coherent-anomaly method applied to the eight-vertex model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 187(1), pages 282-307.
    • Handle: RePEc:eee:phsmap:v:187:y:1992:i:1:p:282-307
    DOI: 10.1016/0378-4371(92)90423-N
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