Phase transitions in self-dual generalizations of the Baxter–Wu model |
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Authors: | Youjin Deng Wenan Guo Jouke R Heringa Henk WJ Blöte Bernard Nienhuis |
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Institution: | 1. Hefei National Laboratory for Physical Sciences at Microscale, Department of Modern Physics, University of Science and Technology of China, Hefei 230027, PR China;2. Physics Department, Beijing Normal University, Beijing 100875, PR China;3. Fundamental Aspects of Energy and Materials, Faculty of Applied Sciences, Delft University of Technology, Mekelweg 15, 2629 JB Delft, The Netherlands;4. Instituut Lorentz, Leiden University, PO Box 9506, 2300 RA Leiden, The Netherlands;5. Instituut voor Theoretische Fysica, Universiteit van Amsterdam, Valckenierstraat 65, 1018 XE Amsterdam, The Netherlands |
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Abstract: | We study two types of generalized Baxter–Wu models, by means of transfer-matrix and Monte Carlo techniques. The first generalization allows for different couplings in the up- and down-triangles, and the second generalization is to a q-state spin model with three-spin interactions. Both generalizations lead to self-dual models, so that the probable locations of the phase transitions follow. Our numerical analysis confirms that phase transitions occur at the self-dual points. For both generalizations of the Baxter–Wu model, the phase transitions appear to be discontinuous. |
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Keywords: | 05 50 +q 64 60 Cn 64 60 Fr 75 10 Hk |
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