A Solvable Decorated Ising Lattice Model |
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| Authors: | SUN Chun-Feng KONG Xiang-Mu YIN Xun-Chang |
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| Affiliation: | 1. Department of Physics, Xiaogan University, Xiaogan 432100, China;2. Department of Physics, Qufu Normal University, Qufu 273165, China;3. Interdisciplinary Center of Theoretical Studies, the Chinese Academyof Sciences, Beijing 100080, China |
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| Abstract: | A decorated lattice is suggested and the Ising model on it with three kindsof interactions K1, K2, and K3 is studied. Using an equivalent transformation, the square decorated Ising lattice is transformed into a regular square Ising lattice with nearest-neighbor, next-nearest-neighbor, and four-spin interactions, and the critical fixed point is found atK1=0.5769, K2=-0.0671, and K3=0.3428, which determines the critical temperature of the system. It is also found that this system andthe regular square Ising lattice, and the eight-vertex model belong to thesame universality class. |
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| Keywords: | Ising model square decorated lattice critical point universality class |
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