Corrections to scaling at the Anderson transition

TL;DR

This paper numerically analyzes corrections to finite size scaling at the Anderson transition, demonstrating the universality of the critical exponent across different disorder distributions by accounting for irrelevant variables and non-linearities.

Contribution

It introduces a detailed numerical approach that incorporates corrections to scaling, confirming the universality of the critical exponent for the Anderson transition.

Findings

Universality of the critical exponent is confirmed across three distributions.

Corrections to scaling due to irrelevant variables are significant.

Proper accounting of non-linearities improves the accuracy of critical exponent estimation.

Abstract

We report a numerical analysis of corrections to finite size scaling at the Anderson transition due to irrelevant scaling variables and non-linearities of the scaling variables. By taking proper account of these corrections, the universality of the critical exponent for the orthogonal universality class for three different distributions of the random potential is convincingly demonstrated.