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Two-spin cluster theory for the Blume-Capel model with arbitrary spin

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  • Jurčišin, M.
  • Bobák, A.
  • Jaščur, M.

Abstract

A two-spin cluster effective field theory for the Blume-Capel model with arbitrary spin S is presented by making use of exact spin identities and taking advantage of the differential operator technique. The dependence of the transition temperature is studied as a function of the single-ion anisotropy field strength for the particular cases S = 1, 32and 2. The results are compared to those of the single-spin cluster theory recently reported in the literature as well as to other methods. In particular, it is shown that the present approach correctly distinguishes the geometry of the lattice structure beyond its coordination number.

Suggested Citation

  • Jurčišin, M. & Bobák, A. & Jaščur, M., 1996. "Two-spin cluster theory for the Blume-Capel model with arbitrary spin," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 224(3), pages 684-696.
    • Handle: RePEc:eee:phsmap:v:224:y:1996:i:3:p:684-696
    DOI: 10.1016/0378-4371(95)00306-1
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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. Tanaka, Yoshiaki & Uryû, Norikiyo, 1981. "Magnetic specific heat of the honeycomb lattice of spin one-half with anisotropic Heisenberg exchange by a new method," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 107(3), pages 629-637.
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    Cited by:

    1. Shi, Xiaoling & Wei, Guozhu, 2012. "Effective-field theory on the kinetic spin-1 Blume–Capel model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 391(1), pages 29-34.

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