Computer simulation of a two-dimensional Potts model with competing exchange interactions

M. K. Ramazanov, A. K. Murtazaev

Daghestan Federal Research Center of Russian Academy of Sciences, Makhachkala

Abstract: The phase transitions and thermodynamic properties of the two-dimensional Potts model with the number of spin states $q=4$ on a hexagonal lattice with competing exchange interactions have been investigated on the basis of the Wang-Landau algorithm by the Monte Carlo method. It is shown that taking into account the antiferromagnetic interactions of the next-nearest neighbors leads to a violation of the magnetic ordering and to the appearance of frustration.

Keywords: Monte Carlo method, Wang-Landau algorithm, frustration.

UDC: 239.2

Received: 06.09.2021
Revised: 28.10.2021
Accepted: 28.10.2021

DOI: 10.31029/demr.16.2