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Magnetic specific heat of the honeycomb lattice of spin one-half with anisotropic Heisenberg exchange by a new method

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  • Tanaka, Yoshiaki
  • Uryû, Norikiyo

Abstract

The magnetic specific heat of the honeycomb lattice of S = 12 Heisenberg spin with anisotropic exchange is calculated by using the new approximation method reported in a previous paper. In the spin system with the anisotropy parameter |γ|<1 (Ising-Heisenberg system), the specific heat shows a similar divergence as that of the pure Ising spin system, namely a logarithmic divergence at the critical temperature. The same approximation is also applied to the spin system with |γ|>1 (Heisenberg XY system), showing a divergence of the same kind.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:phsmap:v:107:y:1981:i:3:p:629-637
    DOI: 10.1016/0378-4371(81)90194-1
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    Cited by:

    1. 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.
    2. 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.
    3. Le Gal, G. & Kaneyoshi, T. & Khater, A., 1993. "Phase diagram and paramagnetic susceptibility of spin 32 Blume-Capel model in the correlated effective-field treatment," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 195(1), pages 174-187.
    4. Kaneyoshi, T. & Tucker, J.W. & Jaščur, M., 1992. "Differential operator technique for higher spin problems," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 186(3), pages 495-512.

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