On the criticality of frustrated spin systems with noncollinear order

TL;DR

This paper investigates the critical behavior of frustrated spin systems with noncollinear order using field theory, providing insights into phase transition scenarios through renormalization group analysis.

Contribution

It introduces pseudo-epsilon expansions for universal order parameter marginal dimensions in 3D frustrated magnets, advancing understanding of their phase transition mechanisms.

Findings

Derived pseudo-epsilon expansions for marginal dimensions

Identified fixed point accessibility scenarios

Enhanced understanding of phase transition types in frustrated systems

Abstract

We analyze the universal features of the critical behaviour of frustrated spin systems with noncollinear order. By means of the field theoretical renormalization group approach, we study the 3d model of a frustrated magnet and obtain pseudo-epsilon expansions for its universal order parameter marginal dimensions. These dimensions govern accessibility of the renormalization group transformation fixed points, and, hence, define the scenario of the phase transition.