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A spin-one Ising model on the Bethe lattice

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  • Chakraborty, K.G.
  • Morita, T.

Abstract

We study the statistical mechanics of spin-one Ising models on the Bethe lattice assuming that the spins interact by dipolar and quadrupolar interactions. An exact calculation of the properties of the system is performed on the basis of the general formulation of Morita. An exact expression for the Curie temperature is derived and the results are found to be in agreement with those of Obokata and Oguchi who utilized a generalized Bethe approximation to a spin-one Ising system. The nature of variation of the Curie temperature with respect to the change of quadrupolar exchange is discussed for various coordination numbers and the results agree qualitatively with the earlier works. The temperature variation of both dipolar and quadrupolar moments is studied.

Suggested Citation

  • Chakraborty, K.G. & Morita, T., 1985. "A spin-one Ising model on the Bethe lattice," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 129(2), pages 415-422.
    • Handle: RePEc:eee:phsmap:v:129:y:1985:i:2:p:415-422
    DOI: 10.1016/0378-4371(85)90177-3
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    References listed on IDEAS

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    1. 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.
    2. Morita, T. & Horiguchi, T., 1975. "Classical one-dimensional Heisenberg model with an interaction of finite range," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 83(3), pages 519-532.
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