Nonlinear response scaling of the two-dimensional XY spin glass in the Coulomb-gas representation

TL;DR

This paper investigates the vortex critical dynamics of the 2D XY spin glass using Monte Carlo simulations in the Coulomb-gas representation, focusing on nonlinear response scaling to determine the correlation length exponent.

Contribution

It provides a new estimate of the correlation length exponent using Coulomb-gas representation, confirming previous results and highlighting different ordering scales for spins and chiralities.

Findings

Estimated correlation length exponent $ u = 1.3(2)$

Vortex motion is governed by the spin-glass correlation length

Spin and chiralities may have different correlation length exponents

Abstract

Vortex critical dynamics of the two dimensional XY spin glass is studied by Monte Carlo methods in the Coulomb-gas representation. A scaling analysis of the nonlinear response is used to calculate the correlation length exponent $\nu $ of the zero-temperature glass transition. The estimate, $\nu =1.3(2)$, is in agreement witth a recent estimate in the phase representation using the same analysis and indicates that the relevant length scale for vortex motion is set by the spin-glass correlation length and that spin and chiralities may order with different correlation length exponents.