This article is cited in 3 papers

Computer simulation of critical properties of the frustrated Ising model

M. K. Ramazanov^a, A. K. Murtazaev<sup>b

a</sup> Daghestan Scientific Centre of Russian Academy of Sciences, Makhachkala
^b Institute of Physics, Daghestan Scientific Centre, Russian Academy of Sciences

Abstract: Based on the replica algorithm by the Monte Carlo method, a computer simulation of the three-dimensional antiferromagnetic Ising model is performed, taking into account the interactions of the first and second nearest neighbors. The critical properties of this model are studied. The investigations were carried out for the ratios of the exchange interactions of the first and second nearest neighbors $r=J_2/J_1$ in the range $0.0 \leq r \leq 1.0$. In the framework of the theory of finite-dimensional scaling, all the main static critical exponents are calculated.

Keywords: Monte Carlo method, replica algorithm, critical exponents.

UDC: 239.2

Received: 19.04.2018
Revised: 05.06.2018
Accepted: 06.06.2018

DOI: 10.31029/demr.9.4