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Phase Transitions and the Thermodynamic Properties of the Potts Model with the Number of Spin States q = 4 on a Triangular Lattice

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Abstract

The phase transitions and the thermodynamic properties of the two-dimensional ferromagnetic Potts model with the number of spin states q = 4 on a triangular lattice are studied on the base of the Wang–Landau algorithm of the Monte Carlo method. The phase transition characters are analyzed using the method of the four-order Binder cumulants and the histogram analysis of the data. It is found that a first-order phase transition is observed in the model under study.

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Funding

This work was supported by the Russian foundation for Basic Research, project no. 18-32-00391-mol-a.

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Authors and Affiliations

  1. Institute of Physics, Dagestan Scientific Center, Russian Academy of Sciences, 367032, Makhachkala, Dagestan, Russia

    A. K. Murtazaev, D. R. Kurbanova & M. K. Ramazanov

Authors
  1. A. K. Murtazaev
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  2. D. R. Kurbanova
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  3. M. K. Ramazanov
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Corresponding author

Correspondence to D. R. Kurbanova.

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The authors declare that they have no conflicts of interest.

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Translated by Yu. Ryzhkov

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Murtazaev, A.K., Kurbanova, D.R. & Ramazanov, M.K. Phase Transitions and the Thermodynamic Properties of the Potts Model with the Number of Spin States q = 4 on a Triangular Lattice. Phys. Solid State 61, 2172–2176 (2019). https://doi.org/10.1134/S1063783419110234

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  • DOI: https://doi.org/10.1134/S1063783419110234

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