A common Universality class for the three-dimensional Vortex Glass and Chiral Glass?

TL;DR

This study uses Monte Carlo simulations to analyze the critical behavior of 3D vortex glass and chiral glass models, revealing a shared universality class under different screening conditions.

Contribution

It demonstrates that both models belong to the same universality class, with consistent critical exponents across screening regimes, advancing understanding of vortex glass transitions.

Findings

Both models exhibit a finite temperature glass transition without screening.

Critical exponents are approximately z=3.1 and nu=1.3 without screening.

Strong screening eliminates the finite temperature transition, leading to a zero temperature transition with nu≈1.05.

Abstract

We present a Monte Carlo study of the d=3 gauge glass and the XY--spin glass models in the vortex representation. We investigate the critical behavior of these models by a scaling analysis of the linear resistivity and current-- voltage characteristics, both in the limits of zero and strong screening of the vortex-interactions. Without screening, both models show a glass transition at a finite temperature and, within the numerical accuracy, exhibit the same critical exponents: z approx 3.1 and nu=1.3 +- 0.3. With strong screening, the finite temperature glass transition is destroyed in both cases and the same exponent nu=1.05 +- 0.1 is found at the resulting zero temperature transition.