Comprehensive study of the critical behavior in the diluted antiferromagnet in a field

TL;DR

This paper uses Tethered Monte Carlo to analyze the critical behavior of the diluted antiferromagnet in a field, providing new insights into phase transitions and resolving previous inconsistencies.

Contribution

It introduces a comprehensive Monte Carlo approach to accurately determine critical exponents, including the hyperscaling violations exponent, in the diluted antiferromagnet in a field.

Findings

Determined critical exponents with high precision

Clarified phase transition characteristics

Resolved discrepancies in prior experimental and theoretical results

Abstract

We study the critical behavior of the Diluted Antiferromagnet in a Field with the Tethered Monte Carlo formalism. We compute the critical exponents (including the elusive hyperscaling violations exponent $\theta$). Our results provide a comprehensive description of the phase transition and clarify the inconsistencies between previous experimental and theoretical work. To do so, our method addresses the usual problems of numerical work (large tunneling barriers and self-averaging violations).