Frustrated magnets in three dimensions: a nonperturbative approach

Abstract

Frustrated magnets exhibit unusual critical behaviours: they display scaling lawsaccompanied by nonuniversal critical exponents. This suggests that these systemsgenerically undergo very weak first-order phase transitions. Moreover, the differentperturbative approaches used to investigate them are in conflict and fail to correctlyreproduce their behaviour. Using a nonperturbative approach we explain the mismatchbetween the different perturbative approaches and account for the nonuniversal scalingobserved.