Critical properties of a continuous family of XY noncollinear magnets

TL;DR

This study uses Monte Carlo simulations to analyze a family of 3D XY frustrated models, revealing that they generally exhibit weak first order phase transitions, aligning with recent theoretical predictions.

Contribution

It provides the first comprehensive Monte Carlo analysis of a continuous family of XY frustrated models, confirming the prevalence of weak first order behavior.

Findings

Weak first order transitions are common in the studied models

Results agree with nonperturbative renormalization group predictions

Study bridges numerical simulations with theoretical descriptions

Abstract

Monte Carlo methods are used to study a family of three dimensional XY frustrated models interpolating continuously between the stacked triangular antiferromagnets and a variant of this model for which a local rigidity constraint is imposed. Our study leads us to conclude that generically weak first order behavior occurs in this family of models in agreement with a recent nonperturbative renormalization group description of frustrated magnets.