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Decomposition of Ising spin of spin-S Ising model

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  • Horiguchi, Tsuyoshi

Abstract

We propose a general method by which an Ising spin of a spin-S Ising model is decomposed into Ising spins less than S. Some exactly solvable spin-S Ising models with S greater than 1/2 are obtained without using Horiguchi's condition or its extended conditions. These systems are reduced to the Ising model of spin ± 1 or an Ashkin-Teller model.

Suggested Citation

  • Horiguchi, Tsuyoshi, 1995. "Decomposition of Ising spin of spin-S Ising model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 214(3), pages 452-460.
    • Handle: RePEc:eee:phsmap:v:214:y:1995:i:3:p:452-460
    DOI: 10.1016/0378-4371(94)00283-Y
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    References listed on IDEAS

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    1. Fukui, Yoshihiko & Horiguchi, Tsuyoshi, 1993. "Ground state properties of chiral XY-model on a one-dimensional lattice," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 199(3), pages 580-598.
    2. Horiguchi, Tsuyoshi & Loison, Damien & Diep, Hung T. & Nagai, Ojiro, 1994. "Anisotropic antiferromagnetic XY-model of classical Heisenberg spins on a triangular lattice," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 206(3), pages 508-520.
    3. Kadanoff, Leo P. & den Nijs, M.P.M., 1981. "Connections among different phase transition problems in two dimensions," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 106(1), pages 122-122.
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    Cited by:

    1. Lipowski, Adam & Horiguchi, Tsuyoshi & Honda, Yasushi, 1997. "Partial ordering at the ground state of frustrated spin-S Ising models," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 237(1), pages 297-319.
    2. Lipowski, Adam, 1998. "Mixed-spin Ising model with four-spin interaction," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 248(1), pages 207-212.
    3. Wang, Fugao & Suzuki, Masuo, 1996. "The phase diagram of the 2D Ising model with anisotropic next-nearest-neighbor and four-spin interactions," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 230(3), pages 639-650.

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    2. Lipowski, Adam & Horiguchi, Tsuyoshi & Honda, Yasushi, 1997. "Partial ordering at the ground state of frustrated spin-S Ising models," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 237(1), pages 297-319.

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