Frustrated magnets in three dimensions: a nonperturbative approach

TL;DR

This paper uses a nonperturbative approach to explain the complex critical behaviors and nonuniversal exponents observed in three-dimensional frustrated magnets, resolving conflicts among previous perturbative methods.

Contribution

It introduces a nonperturbative framework that clarifies the discrepancies among perturbative approaches and accurately describes the weak first order transitions in frustrated magnets.

Findings

Nonperturbative approach explains nonuniversal critical exponents.

Resolves conflicts between different perturbative methods.

Accounts for weak first order phase transitions.

Abstract

Frustrated magnets exhibit unusual critical behaviors: they display scaling laws accompanied by nonuniversal critical exponents. This suggests that these systems generically undergo very weak first order phase transitions. Moreover, the different perturbative approaches used to investigate them are in conflict and fail to correctly reproduce their behavior. Using a nonperturbative approach we explain the mismatch between the different perturbative approaches and account for the nonuniversal scaling observed.