Monte Carlo study of the antiferromagnetic three-state Potts model with staggered polarization field on the square lattice

TL;DR

This study uses Wang-Landau Monte Carlo simulations to analyze phase transitions in the antiferromagnetic three-state Potts model with a staggered polarization field on a square lattice, identifying two distinct universality classes.

Contribution

It provides a detailed Monte Carlo analysis of the phase diagram and universality classes for this specific model, confirming results with transfer matrix calculations.

Findings

Identified two phase transitions: one in the ferromagnetic three-state Potts class and one in the Ising class.

Quantitatively confirmed the phase diagram with transfer matrix calculations.

Clarified the Ising transition at large nearest-neighbor interactions through energy density of states analysis.

Abstract

Using the Wang-Landau Monte Carlo method, we study the antiferromagnetic (AF) three-state Potts model with a staggered polarization field on the square lattice. We obtain two phase transitions; one belongs to the ferromagnetic three-state Potts universality class, and the other to the Ising universality class. The phase diagram obtained is quantitatively consistent with the transfer matrix calculation. The Ising transition in the large nearest-neighbor interaction limit has been made clear by the detailed analysis of the energy density of states.