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Influence of Quenched Non-Magnetic Impurities on Phase Transitions in Low-Dimensional Potts Models

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Abstract

The effect of quenched non-magnetic impurities on phase transitions in low-dimensional Potts model structures is investigated by the Monte Carlo method using a cluster algorithm. Systems with linear dimensions of L = 20–160 and spin concentrations of p = 1.0, 0.9 are considered. Using the fourth-order Binder cumulant method and the histogram-data analysis method, the introduction of weak quenched disorder (p = 0.9) in the form of non-magnetic impurities is shown 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, Daghestan Federal Research Centre, Russian Academy of Sciences, 367010, Makhachkala, Russia

    A. K. Murtazaev

  2. Department of Mathematics and Computer Science, Daghestan Federal Research Centre, Russian Academy of Sciences, 367032, 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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Correspondence to A. K. Murtazaev or A. B. Babaev.

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Translated by Sh. Galyaltdinov

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Murtazaev, A.K., Babaev, A.B. Influence of Quenched Non-Magnetic Impurities on Phase Transitions in Low-Dimensional Potts Models. J. Surf. Investig. 14, 727–729 (2020). https://doi.org/10.1134/S1027451020030350

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  • DOI: https://doi.org/10.1134/S1027451020030350

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