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Phase Transformations and Thermodynamic Properties of the Potts Model with q = 4 on a Hexagonal Lattice with Interactions of Next-Nearest Neighbors

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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 hexagonal 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. It is shown that the inclusion of the antiferromagnetic interactions of the next-nearest neighbors leads to the appearance of frustration and disturbance of magnetic ordering. The phase transition characters are analyzed using the method of fourth-order Binder cumulants and the histogram method. It is found that a first-order phase transition takes place in this model.

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Funding

This work was supported by the Russian Foundation for Basic Research, projects nos. 19-02-00153-a and 18-32-20098-mol-a-ved.

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Correspondence to M. K. Ramazanov.

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Translated by Yu. Ryzhkov

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Ramazanov, M.K., Murtazaev, A.K., Magomedov, M.A. et al. Phase Transformations and Thermodynamic Properties of the Potts Model with q = 4 on a Hexagonal Lattice with Interactions of Next-Nearest Neighbors. Phys. Solid State 62, 499–503 (2020). https://doi.org/10.1134/S1063783420030178

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  • DOI: https://doi.org/10.1134/S1063783420030178

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