Pyrochlore antiferromagnet with antisymmetric exchange interactions: critical behavior and order from disorder

TL;DR

This paper studies how Dzyaloshinskii-Moriya interactions influence phase transitions and magnetic order in a frustrated pyrochlore antiferromagnet, revealing new critical behaviors and an order-from-disorder phenomenon.

Contribution

It provides a detailed analysis of phase transitions induced by antisymmetric exchange interactions in pyrochlore antiferromagnets, highlighting novel critical behaviors and symmetry-breaking mechanisms.

Findings

Identification of Ising-like transition with all-in all-out order

Discovery of XY-like transition with Z6 symmetry breaking

Observation of order-from-disorder phenomenon switching between symmetry states

Abstract

We investigate the nature of phase transitions induced by Dzyaloshinskii-Moriya (DM) interactions on a classical pyrochlore antiferromagnet. For both symmetry-allowed antisymmetric exchange interactions, the macroscopic degeneracy due to geometrical frustration is relieved and a long-range magnetic order appears in the ground state. We find an Ising-like phase transition in the case of direct DM interaction which selects a doubly degenerate all-in all-out magnetic order. In the presence of indirect DM coupling, the magnet undergoes an XY-like phase transition into a state with broken Z6 symmetry. We show that the critical behavior in both cases is modified due to the constrained spin fluctuations in the correlated Coulomb phase. We also demonstrate an interesting order from disorder phenomenon where the system switches between two distinct types of broken Z6 symmetry.