Dynamics of glass phases in the two-dimensional gauge glass model

TL;DR

This study uses large-scale simulations to analyze the glass transition and depinning phenomena in the two-dimensional gauge glass model, revealing critical exponents and non-Arrhenius creep behavior.

Contribution

It provides the first detailed dynamic scaling analysis of the 2D gauge glass model, identifying a finite-temperature glass transition and characterizing depinning and creep dynamics.

Findings

Linear resistivity tends to zero at low temperatures.

Finite-temperature glass transition at T_g=0.22 with specific critical exponents.

Observation of non-Arrhenius creep motion in the glass phase.

Abstract

Large-scale simulations have been performed on the current-driven two-dimensional XY gauge glass model with resistively-shunted-junction dynamics. It is observed that the linear resistivity at low temperatures tends to zero, providing strong evidence of glass transition at finite temperature. Dynamic scaling analysis demonstrates that perfect collapses of current-voltage data can be achieved with the glass transition temperature $T_{g}=0.22$, the correlation length critical exponent $\nu =1.8$, and the dynamic critical exponent $ z=2.0$. A genuine continuous depinning transition is found at zero temperature. For creeping at low temperatures, critical exponents are evaluated and a non-Arrhenius creep motion is observed in the glass phase.