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The phase diagram of the 2D Ising model with anisotropic next-nearest-neighbor and four-spin interactions |
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| Authors: | Fugao Wang Masuo Suzuki |
| Institution: | a Department of Physics, University of Tokyo, Hongo 7-3-1, Bunkyo-ku, Tokyo 113, Japan b Department of Applied Physics, Shanghai Jiao Tong University, Shanghai 200 030, People's Republic of China |
| 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. |
| Keywords: | Ising model Eight-vertex model Free-fermion condition |
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