Monte Carlo study of the phase transitions in 2D ferro- and antiferromagnetic Potts models on a triangular lattice |
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Authors: | A K Murtazaev A B Babaev |
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Institution: | 1. Amirkhanov Institute of Physics, Dagestan Scientific Center, Russian Academy of Sciences, Makhachkala, 367003, Russia 2. Dagestan State University, Makhachkala, 367000, Russia 3. Dagestan State Pedagogical University, Makhachkala, 367003, Russia
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Abstract: | The phase transitions in 2D ferro- and antiferromagnetic Potts models with number of spin states q = 3 on a triangular lattice are investigated by the cluster and classical Monte Carlo methods. Systems with linear sizes L = 20–120 are considered. Fourth-order Binder cumulants and histogram data analysis are used to show that second- and first-order phase transitions are observed in the ferromagnetic and antiferromagnetic Potts models, respectively. The static critical indices are calculated for specific heat α, susceptibility γ, magnetization β, and correlation length ν on the basis of finite-size scaling theory for a ferromagnetic Potts model. |
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