The 3-State Square-Lattice Potts Antiferromagnet at Zero Temperature

TL;DR

This paper investigates the critical behavior of the 3-state square-lattice Potts antiferromagnet at zero temperature using large-scale Monte Carlo simulations, confirming theoretical predictions of critical exponents.

Contribution

It provides the first large-scale simulation validation of Burton and Henley's height representation predictions for this model.

Findings

Confirmed critical exponents match theoretical predictions

Simulated lattices up to 1024x1024 size

Validated the height representation approach

Abstract

We study the 3-state square-lattice Potts antiferromagnet at zero temperature by a Monte Carlo simulation using the Wang-Swendsen-Koteck\'y cluster algorithm, on lattices up to $1024 \times 1024$. We confirm the critical exponents predicted by Burton and Henley based on the height representation of this model.