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Phase Diagram of the Antiferromagnetic Potts Model with Number q = 4 of Spin States in the Hexagonal Lattice

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Abstract

The Wang–Landau algorithm of the Monte Carlo method is used to study the magnetic structures of the ground state, phase transitions, and thermodynamic properties of the two-dimensional antiferromagnetic Potts model with number q = 4 of spin states in a hexagonal lattice with the interactions of the nearest (J1) and next-to-nearest (J2) neighbors. The exchange interaction ratios in the range of 0.0 ≤ r = |J2/J1| ≤ 1.0 are studied. A phase diagram of the dependence of the critical temperature on the exchange interaction value of the next-to-nearest neighbors is constructed. The nature of phase transitions is analyzed. It is found that a first-order phase transition is observed in the range of 0.1 ≤ r ≤ 1.0, while there is no phase transition in the system and a strong degeneracy of the ground state is observed at r = 0.0.

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Funding

This study was performed within the framework of State assignment from the Ministry of Education and Science of Russia (topic no. AAAA-A19-119051490043-5) and partially 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 Scientific Center, Russian Academy of Sciences, 367003, Makhachkala, Russia

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

  2. Dagestan Federal Research Center, Russian Academy of Sciences, 367000, Makhachkala, Russia

    A. K. Murtazaev

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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Correspondence to A. K. Murtazaev.

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Translated by O. Kadkin

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Murtazaev, A.K., Mazagaeva, M.K., Ramazanov, M.K. et al. Phase Diagram of the Antiferromagnetic Potts Model with Number q = 4 of Spin States in the Hexagonal Lattice. Phys. Metals Metallogr. 122, 428–433 (2021). https://doi.org/10.1134/S0031918X21050094

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  • DOI: https://doi.org/10.1134/S0031918X21050094

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