Replica symmetry breaking transition of the weakly anisotropic Heisenberg spin glass in magnetic fields

TL;DR

This study investigates the replica symmetry breaking transition in a weakly anisotropic Heisenberg spin glass under magnetic fields, revealing a chiral transition linked with spin-glass order, differing from Ising spin glasses.

Contribution

It provides new insights into the spin-chirality decoupling-recoupling scenario in Heisenberg spin glasses through equilibrium Monte Carlo simulations.

Findings

Replica symmetry breaking occurs in the chiral sector.

Simultaneous spin-glass and chiral ordering observed.

Behavior differs from Ising spin glasses.

Abstract

The spin and the chirality orderings of the three-dimensional Heisenberg spin glass with the weak random anisotropy are studied under applied magnetic fields by equilibrium Monte Carlo simulations. A replica symmetry breaking transition occurs in the chiral sector accompanied by the simultaneous spin-glass order. The ordering behavior differs significantly from that of the Ising SG, despite the similarity in the global symmetry. Our observation is consistent with the spin-chirality decoupling-recoupling scenario of a spin-glass transition.