Single spin- and chiral-glass transition in vector spin glasses in three-dimensions

TL;DR

This paper presents Monte Carlo simulation results indicating a single finite-temperature transition in three-dimensional XY and Heisenberg spin glasses, where both spins and chiralities order simultaneously, suggesting a unified transition mechanism.

Contribution

The study provides evidence for a single spin- and chiral-glass transition in 3D vector spin glasses, using finite size scaling analysis of Monte Carlo simulation data.

Findings

Single finite-temperature transition for spins and chiralities

Simultaneous ordering of spins and chiralities

Finite size scaling supports a unified transition mechanism

Abstract

Results of Monte Carlo simulations of XY and Heisenberg spin glass models in three dimensions are presented. A finite size scaling analysis of the correlation length of the spins and chiralities of both models shows that there is a single, finite-temperature transition at which both spins and chiralities order.