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Phase Transitions in Two-Dimensional Structures Described by Impurity Potts Models

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Abstract

The phase transitions in the two-dimensional impurity Potts model on a square lattice are investigated on the basis of numerical methods of computational physics. The calculations are performed for weakly diluted systems with periodic boundary conditions at a spin concentration of p = 0.95. Systems with linear dimensions of L × L = N, L = 10–160 are considered. The effect of insignificant disorder in the form of quenched-in non-magnetic impurities on first-order phase transitions is studied. The temperature dependences of the heat capacity, susceptibility, and magnetization are given as functions of the linear dimensions of the systems under study. Using the fourth-order Binder cumulant method and histogram analysis of the data, it is shown that a small impurity concentration of c = 5% (c = 1 – p) is sufficient to change the order of the phase transition from the first to the second.

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Authors and Affiliations

  1. Amirkhanov Institute of Physics of the Daghestan Federal Research Centre, Russian Academy of Sciences, 367010, Makhachkala, Russia

    A. K. Murtazaev, G. Ya. Ataeva & A. A. Murtazaeva

  2. Daghestan Federal Research Centre, Russian Academy of Sciences, 367000, Makhachkala, Russia

    A. B. Babaev

  3. Dagestan State Pedagogical University, 367003, Makhachkala, Russia

    A. B. Babaev

Authors
  1. A. K. Murtazaev
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  2. A. B. Babaev
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  3. G. Ya. Ataeva
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  4. A. A. Murtazaeva
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Correspondence to A. K. Murtazaev or A. B. Babaev.

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Murtazaev, A.K., Babaev, A.B., Ataeva, G.Y. et al. Phase Transitions in Two-Dimensional Structures Described by Impurity Potts Models. J. Surf. Investig. 15, 1076–1079 (2021). https://doi.org/10.1134/S1027451021050116

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  • DOI: https://doi.org/10.1134/S1027451021050116

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