Phase diagram of the Potts model with the number of spin states q = 4 on a kagome latticeM. K. Ramazanov^{1,2}, A. K. Murtazaev^{1,2}, M. A. Magomedov^{1,2}, T. R. Rizvanova^{1}, and A. A. Murtazaeva^{1} ^{1}Institute of Physics, Dagestan Federal Research Center, Russian Academy of Sciences, Makhachkala 367003, Russia ^{2}Dagestan Federal Research Center, Russian Academy of Sciences, Makhachkala 367000, Russia Received December 9, 2020, published online March 26, 2021 Abstract The magnetic structures of the ground state, phase transitions, and the thermodynamic properties of a two-dimensional ferromagnetic Potts model with the number of spin states q = 4 on a kagome lattice are studied using the Wang–Landau algorithm of the Monte Carlo method, taking into account the interactions of the nearest and the next-nearest neighbors. The studies were carried out for the value of the interaction of the next-nearestneighbors in the range 0 ≤ r ≤ 1.0. It is shown that taking into account the antiferromagnetic interactions of the next-nearest neighbor leads to a violation of the magnetic ordering. A phase diagram of the dependence of the critical temperature on the value of the interaction of the next-nearest neighbor is constructed. The analysis of the character of phase transitions is carried out. It was found that in the ranges 0 ≤ r < 0.5 and 0.5 < r ≤ 1.0, a first-order phase transition is observed, and for r = 0.5, frustrations are observed in the system. Key words: frustration, phase diagram, phase transition, Monte Carlo method, Potts model. |