Comment on: Dynamic and Static Properties of the Randomly Pinned Flux Array

TL;DR

This paper re-examines the properties of a randomly pinned flux array model using Monte Carlo simulations, revealing that disorder significantly affects correlation functions and aligns with recent RG calculations.

Contribution

It provides new simulation evidence showing the impact of disorder on flux array correlations, challenging previous reports and supporting recent theoretical predictions.

Findings

Disorder alters the displacement correlation function at larger disorder levels.

The correlation function slope matches recent RG calculation results.

Contradicts earlier reports claiming no difference from the pure case.

Abstract

We reconsider the model of the randomly pinned planar flux array (or the two-dimensional XY-model with random fields and no vortices) in extensive Monte Carlo simulations. We show that contrary to what has been reported recently [Phys.\ Rev.\ Lett.\ {\bf 72}, 4133 (1994)] the disorder-averaged displacement correlation function is different from the pure case for larger values of the disorder. Its slope as a function of the logarithm of disorder is compatible with newer RG-calculation results.