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Phase Diagram of the Potts Model with the Number of Spin States q = 4 on a Hexagonal Lattice

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Abstract

The Wang–Landau algorithm of the Monte Carlo method is used to study magnetic structures of the ground state, phase transitions, and the thermodynamic properties of the two-dimensional ferromagnetic Potts model with the number of spin states q = 4 on a hexagonal lattice with competing exchange interactions. The studies are performed for the interaction of next nearest neighbors in the range 0 ≤ r ≤ 1.0. The inclusion of antiferromagnetic interactions of next nearest neighbors is shown to lead to a distortion of the magnetic ordering. The phase diagram of the dependence of the critical temperature on the interaction of next nearest neighbors has been built. The phase transition character is analyzed. It is found that the first-order phase transition takes place in the ranges 0 ≤ r ≤ 0.2 and 0.7 ≤ r ≤ 1.0, and the frustrations are observed in the range 0.3 ≤ r ≤ 0.6.

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Funding

This work was supported by the Russian Foundation for Basic Research, project no. 19-02-00153-a.

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Authors and Affiliations

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

    A. K. Murtazaev, M. K. Mazagaeva, M. K. Ramazanov, M. A. Magomedov & A. A. Murtazaeva

  2. Dagestan Federal Scientific Center, Russian Academy of Sciences, Makhachkala, Russia

    A. K. Murtazaev, M. K. Ramazanov & M. A. Magomedov

Authors
  1. A. K. Murtazaev
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  2. M. K. Mazagaeva
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  3. M. K. Ramazanov
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  4. M. A. Magomedov
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  5. A. A. Murtazaeva
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Corresponding author

Correspondence to A. K. Murtazaev.

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Translated by Yu. Ryzhkov

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Murtazaev, A.K., Mazagaeva, M.K., Ramazanov, M.K. et al. Phase Diagram of the Potts Model with the Number of Spin States q = 4 on a Hexagonal Lattice. Phys. Solid State 63, 742–747 (2021). https://doi.org/10.1134/S1063783421050139

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  • DOI: https://doi.org/10.1134/S1063783421050139

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