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Correlated-effective-field treatment of spin-one ising models

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  • Kaneyoshi, T.

Abstract

A new version of correlated effective-field theory is applied to a study of the spin-one Ising models, namely the Blume-Capel and Blume-Emery-Griffiths modesl, using the Honmura-Kaneyoshi differential operator technique. This method is illustrated in a honeycomb lattice by investigating the phase diagram, the magnetization, the correlated effective-field parameter and the short-range order parameter. The theory correctly accounts for many physical quantities and leads to results that are quite superior, and in some aspects different, to those of the previous works.

Suggested Citation

  • Kaneyoshi, T., 1990. "Correlated-effective-field treatment of spin-one ising models," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 164(3), pages 730-750.
    • Handle: RePEc:eee:phsmap:v:164:y:1990:i:3:p:730-750
    DOI: 10.1016/0378-4371(90)90232-H
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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.
    2. De Alcantara Bonfim, O.F., 1985. "Mean field renormalization group analysis of the Blume-Capel model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 130(1), pages 367-373.
    3. Kaneyoshi, T. & Sarmento, E.F., 1988. "The application of the differential operator method to the Blume-Emery-Griffiths model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 152(3), pages 343-358.
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