Frustrated Potts Model with Spin States Number q = 4 on a Triangular Lattice

Abstract

The Monte Carlo Wang–Landau algorithm was used to study the magnetic structures of the ground state and the thermodynamic properties of the 2D Potts model on a triangular lattice with number q = 4 of spin states with first and second nearest neighbor interactions. It is shown that the inclusion of the antiferromagnetic interaction of the second nearest neighbors leads to frustration and violation of magnetic breaking. It is established that in the model under investigation, no phase transition is observed at the point of frustration.