CRITICAL EXPONENTS OF THE 3D ANTIFERROMAGNETIC THREE-STATE POTTS MODEL USING THE COHERENT-ANOMALY METHOD

TL;DR

This paper uses the coherent-anomaly method to estimate critical exponents of the 3D antiferromagnetic three-state Potts model, confirming its belonging to the XY universality class and aligning with recent Monte Carlo results.

Contribution

The study applies the coherent-anomaly method to determine critical exponents, providing evidence for the XY universality class of the 3D antiferromagnetic three-state Potts model.

Findings

Critical exponents match XY universality class values.

Results agree with recent Monte Carlo simulations.

Disagrees with the proposal of a new universality class.

Abstract

The antiferromagnetic three-state Potts model on the simple-cubic lattice is studied using the coherent-anomaly method (CAM). The CAM analysis provides the estimates for the critical exponents which indicate the XY universality class, namely $\alpha=-0.011 $, $\beta= 0.351 $, $\gamma= 1.309 $ and $\delta= 4.73 $. This observation corroborates the results of the recent Monte Carlo simulations, and disagrees with the proposal of a new universality class.