The Phase Transition in the Three-State Potts Model: An Analytical Analysis |
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| Authors: | YX SONG JM YANG GR LU JY CUI |
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| Institution: | 1. CCAST (World Lab. ), P.O. Box 8730, Beijing 100080, China;
2. Physics Department, Sichuan University, Chengdu 610064, China;
3. Henan Fundamental and Applied Science Institute, Zhengzhou 450052, China;
4. Physics Department, Henan Normal University, Xinxiang 453002, China |
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| Abstract: | Weinvestigate thephase transition of the three-state Potts model in an analytical approachthe generalized cumtilant expansion with the effective mean field Itypothesis. We find a first order phase transition in the three-dimensional three-state Pot ts model with ferromagnetic nearest neighbor (nn) coupling. For the model with antiferromagnetic next-to-nearest neighbor (nnn) coupling, pe find a first order transition when tlle relative strength of the nnncoupling γ is fixed to -0.2. The critical values given by this method are also in agreement with the recent high statistics Monte Carlo results. |
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