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A general theory of spin-one Ising models in the correlated effective-field approximation

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  • Kaneyoshi, T.

Abstract

A new correlated effective-field theory of spin-one Ising systems, namely the Blume-Capel and Blume-Emery-Griffiths models, is developed, using exact Ising spin identities, the Honmura-Kaneyoshi differential operator technique and the concept of correlated effective field. In particular, the general expressions for evaluating the second-order phase transition and the tricritical point of both models are obtained. The present method can be applied to a wide class of spin-one Ising systems.

Suggested Citation

  • Kaneyoshi, T., 1992. "A general theory of spin-one Ising models in the correlated effective-field approximation," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 182(3), pages 436-454.
    • Handle: RePEc:eee:phsmap:v:182:y:1992:i:3:p:436-454
    DOI: 10.1016/0378-4371(92)90353-R
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    References listed on IDEAS

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    1. Siqueira, A.F. & Fittipaldi, I.P., 1986. "New effective-field theory for the Blume-Capel model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 138(3), pages 592-611.
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