Phase transitions in a two-dimensional weakly diluted 4-state Potts model on a hexagonal lattice
Babaev A.B.1,2, Murtazaev A.K.1,2
1Amirkhanov Institute of Physics, Dagestan Federal Research Center, Russian Academy of Sciences, Makhachkala, Russia
2Dagestan Federal Research Center, Russian Academy of Sciences, Makhachkala, Russia
Email: b_albert78@mail.ru

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The Monte Carlo method is used to study phase transitions in a two-dimensional weakly diluted 4-state Potts model on a hexagonal lattice. Systems with linear dimensions L=21/336 at spin concentrations p=1.00, 0.90 are considered. The use of the fourth-order binder cumulants method and histogram data analysis showed that the introduction of nonmagnetic impurities has a stabilizing role in the implementation of the second-order phase transition in the Potts model under study on a hexagonal lattice. Keywords: Potts model, Monte Carlo method, thermodynamic parameters, disorder.
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