Current-voltage scaling of chiral and gauge-glass models of two-dimensional superconductors

TL;DR

This study numerically investigates the current-voltage scaling in two-dimensional disordered superconductor models, revealing a zero-temperature phase transition with different universality classes for chiral and gauge glass models.

Contribution

It provides the first detailed numerical analysis of 2D chiral and gauge glass models, identifying distinct critical exponents and universality classes.

Findings

Nonzero linear resistance at finite temperatures

Phase transition at T=0 with diverging correlation length

Different critical exponents for chiral and gauge glass models

Abstract

The scaling behavior of the current-voltage characteristics of chiral and gauge glass models of disordered superconductors, are studied numerically, in two dimensions. For both models, the linear resistance is nonzero at finite temperatures and the scaling analysis of the nonlinear resistivity is consistent with a phase transition at T=0 temperature characterized by a diverging correlation length $\xi \propto T^{-\nu_{T}}$ and thermal critical exponent $\nu_{T}$. The values of $\nu_{T}$, however, are found to be different for the chiral and gauge glass models, suggesting different universality classes, in contrast to the result obtained recently in three dimensions.