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Frustrated Potts Model with Spin States Number q = 4 on a Triangular Lattice

  • ORDER, DISORDER, AND PHASE TRANSITION IN CONDENSED SYSTEM
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Abstract

The Monte Carlo Wang–Landau algorithm was used to study the magnetic structures of the ground state and the thermodynamic properties of the 2D Potts model on a triangular lattice with number q = 4 of spin states with first and second nearest neighbor interactions. It is shown that the inclusion of the antiferromagnetic interaction of the second nearest neighbors leads to frustration and violation of magnetic breaking. It is established that in the model under investigation, no phase transition is observed at the point of frustration.

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Funding

This study was supported by the Russian Foundation for Basic Research (project no. 19-02-00153) and the Gadji Makhachev Foundation for supporting science, education, and culture.

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Authors and Affiliations

  1. Amirkhanov Institute of Physics, Dagestan Federal Research Center, Russian Academy of Sciences, 367015, Makhachkala, Russia

    D. R. Kurbanova, A. K. Murtazaev, M. K. Ramazanov, M. A. Magomedov & T. A. Taaev

Authors
  1. D. R. Kurbanova
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  2. A. K. Murtazaev
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  3. M. K. Ramazanov
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  4. M. A. Magomedov
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  5. T. A. Taaev
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Corresponding author

Correspondence to D. R. Kurbanova.

Additional information

Translated by N. Wadhwa

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Kurbanova, D.R., Murtazaev, A.K., Ramazanov, M.K. et al. Frustrated Potts Model with Spin States Number q = 4 on a Triangular Lattice. J. Exp. Theor. Phys. 131, 951–955 (2020). https://doi.org/10.1134/S1063776120120043

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  • DOI: https://doi.org/10.1134/S1063776120120043

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