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 Pis'ma v Zh. Èksper. Teoret. Fiz., 2018, Volume 107, Issue 10, Pages 656–661 (Mi jetpl5577)

CONDENSED MATTER

Weak universality in the disordered two-dimensional antiferromagnetic Potts model on a triangular lattice

A. B. Babaevab, A. K. Murtazaevcb

a Dagestan State Pedagogical University, Makhachkala, Russia
b Amirkhanov Institute of Physics, Dagestan Scientific Center, Russian Academy of Sciences, Makhachkala, Russia
c Dagestan State University, Makhachkala, Russia

Abstract: The critical behavior of the disordered two-dimensional antiferromagnetic Potts model with the number of spin states $q=3$ on a triangular lattice with disorder in the form of nonmagnetic impurities is studied by the Monte Carlo method. The critical exponents for the susceptibility $\gamma$, magnetization $\beta$, specific heat $\alpha$, and correlation radius $\nu$ are calculated in the framework of the finite-size scaling theory at spin concentrations $p= 0.90, 0.80, 0.70$, and $0.65$. It is found that the critical exponents increase with the degree of disorder, whereas the ratios and do not change, thus holding the scaling equality $\frac{2\beta}{\nu}+\frac{\gamma}{\nu}=d$. Such behavior of the critical exponents is related to the weak universality of the critical behavior characteristic of disordered systems. All results are obtained using independent Monte Carlo algorithms, such as the Metropolis and Wolff algorithms.

 Funding Agency Grant Number Russian Foundation for Basic Research 16-02-00214_à

DOI: https://doi.org/10.7868/S0370274X18100077

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English version:
Journal of Experimental and Theoretical Physics Letters, 2018, 107:10, 624–628

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Revised: 05.04.2018

Citation: A. B. Babaev, A. K. Murtazaev, “Weak universality in the disordered two-dimensional antiferromagnetic Potts model on a triangular lattice”, Pis'ma v Zh. Èksper. Teoret. Fiz., 107:10 (2018), 656–661; JETP Letters, 107:10 (2018), 624–628

Citation in format AMSBIB
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