Critical behavior and driven Monte Carlo dynamics of the XY spin glass in the phase representation

TL;DR

This paper introduces a driven Monte Carlo method to analyze the phase transition and critical behavior of the 3D XY spin glass, revealing a finite-temperature transition consistent with previous studies and relevant for superconductors.

Contribution

The paper presents a novel driven Monte Carlo approach to study resistivity scaling and phase transitions in XY spin glasses in the phase representation.

Findings

Finite-temperature phase-coherence transition identified

Critical exponents match bimodal coupling distribution universality class

Results relevant for understanding $$-junction superconductors

Abstract

A driven Monte Carlo dynamics is introduced to study resistivity scaling in XY-type models in the phase representation. The method is used to study the phase transition of the three-dimensional XY spin glass with a Gaussian coupling distribution. We find a phase-coherence transition at finite temperature in good agreement with recent equilibrium Monte Carlo simulations which shows a single (spin and chiral) glass transition. Estimates of the static and dynamic critical exponents indicate that the critical behavior is in the same universality class as the the model with a bimodal coupling distribution. Relevance of these results for $\pi$-junction superconductors is also discussed.