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Fizika Tverdogo Tela, 2020 Volume 62, Issue 7, Pages 1088–1090 (Mi ftt8379)

This article is cited in 3 papers

Phase transitions

Phase transitions in the two-dimensional slightly diluted five-vertex Potts model

A. K. Murtazaevab, A. B. Babaevac, G. Ya. Ataevaa

a Daghestan Institute of Physics after Amirkhanov
b Daghestan State University, Makhachkala
c Daghestan State Pedagogical University

Abstract: Phase transitions in the two-dimensional slightly diluted Potts model on a square lattice at $q$ = 5 have been studied using the computer simulation method. The systems with linear sizes $L\times L = N$, $L$ = 10 – 120 are considered. It is shown based on the forth-order Binder cumulants and using the histogram analysis of the data that the introduction of nonmagnetic impurities to a spin system described by the two-dimensional Potts model with $q$ = 5 leads to a change of the first-order phase transition to a second-order phase transition.

Keywords: impurity, Monte Carlo method, magnetic system, Potts model.

Received: 26.02.2020
Revised: 26.02.2020
Accepted: 12.03.2020

DOI: 10.21883/FTT.2020.07.49478.051


 English version:
Physics of the Solid State, 2020, 62:7, 1228–1230

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© Steklov Math. Inst. of RAS, 2025