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The phase diagram of the 2D Ising model with anisotropic next-nearest-neighbor and four-spin interactions

Author

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  • Wang, Fugao
  • Suzuki, Masuo

Abstract

In the present paper, the two-dimensional Ising model with anisotropic nearest-neighbor, next-nearest-neighbor and four-spin interactions has been studied. The ground states and energy of the model have been obtained. The model is equivalent to an eight-vertex model on its dual lattice. In some special cases, the model can be solved exactly as a zero-field eight-vertex model or a free-fermion model. Explicit phase diagrams are obtained exactly.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:phsmap:v:230:y:1996:i:3:p:639-650
    DOI: 10.1016/0378-4371(96)00116-1
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    References listed on IDEAS

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    1. Suzuki, Masuo & Minami, Kazuhiko & Nonomura, Yoshihiko, 1994. "Coherent-anomaly method—recent development," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 205(1), pages 80-100.
    2. 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.
    3. Morita, Hiroshi & Ishii, Hiroaki, 1992. "A stochastic improvement method for stochastic programming," Computational Statistics & Data Analysis, Elsevier, vol. 14(4), pages 477-487, November.
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