Relaxation at finite temperature in Fully-Frustrated Ising Models

TL;DR

This study uses Monte Carlo simulations to analyze relaxation behaviors in fully-frustrated Ising models, revealing exponential decay with logarithmic corrections due to topological defects, contrasting previous findings of stretched-exponential decay.

Contribution

It demonstrates that fully-frustrated Ising models exhibit exponential decay with logarithmic corrections at low temperatures, challenging prior assumptions of stretched-exponential decay.

Findings

Spin-spin correlations decay exponentially with logarithmic corrections.

Topological defects are responsible for the observed decay pattern.

Contrasts previous studies by showing different relaxation behavior.

Abstract

We consider by means of Monte Carlo simulations the relaxation in the paramagnetic phase of the anti-ferromagnetic Ising model on a triangular lattice and of a fully-frustrated Ising model on a square lattice. In contradistinction to previous studies of the second model, we show that spin-spin correlation functions do not decay with a stretched-exponential law at low temperature but that both models display an exponential decay with logarithmic corrections that are interpreted as the signature of topological defects.