Competition between fluctuations and disorder in frustrated magnets

TL;DR

This paper explores how impurities influence phase transitions in frustrated magnets near four dimensions, revealing the absence of stable fixed points for certain parameters, indicating significant physical effects.

Contribution

It demonstrates that impurities can eliminate stable fixed points in frustrated magnets, challenging previous expectations based on general principles.

Findings

No stable fixed point for small number of spin components in perturbative regime

Impurities induce significant physical effects in frustrated magnets

Results suggest complex behavior near criticality in disordered systems

Abstract

We investigate the effects of impurities on the nature of the phase transition in frustrated magnets, in d=4-epsilon dimensions. For sufficiently small values of the number of spin components, we find no physically relevant stable fixed point in the deep perturbative region (epsilon << 1), contrarily to what is to be expected on very general grounds. This signals the onset of important physical effects.