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Effect of Quenched Nonmagnetic Impurities on the Phase Transitions in a Three-Dimensional Potts Model

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

The influence of a weak disorder in the form of quenched nonmagnetic impurities on the phase transitions (PTs) in a three-dimensional 5-state Potts model is studied using the cluster Wolff algorithm of the Monte Carlo method. Systems with linear sizes L = 10–120 at spin concentrations p = 1.00 and 0.80 are considered. Using the fourth-order Binder cumulant method and histogram analysis, we show that the introduction of a weak quenched disorder (p = 0.80) in the form of nonmagnetic impurities changes a first-order PT into a second-order PT.

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Funding

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

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Authors and Affiliations

  1. Institute of Physics, Dagestan Scientific Center, Russian Academy of Sciences, 367003, Makhachkala, Russia

    A. K. Murtazaev

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

    A. B. Babaev

  3. Dagestan State Pedagogical University, 367000, Makhachkala, Russia

    A. B. Babaev

Authors
  1. A. K. Murtazaev
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  2. A. B. Babaev
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Correspondence to A. B. Babaev.

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Translated by K. Shakhlevich

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Murtazaev, A.K., Babaev, A.B. Effect of Quenched Nonmagnetic Impurities on the Phase Transitions in a Three-Dimensional Potts Model. J. Exp. Theor. Phys. 132, 917–921 (2021). https://doi.org/10.1134/S1063776121060054

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  • DOI: https://doi.org/10.1134/S1063776121060054

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