Anderson transitions in three-dimensional disordered systems with randomly varying magnetic flux

TL;DR

This study investigates the Anderson transition in three-dimensional disordered systems with randomly varying magnetic flux, analyzing critical behavior and universality classes through transfer matrix simulations.

Contribution

It provides high-precision estimates of the critical exponent for the Anderson transition in systems with magnetic flux disorder, confirming the universality class classification.

Findings

Critical exponent $ u=1.45\u00b10.09$ with scalar potential.

Exponent increases with system size without scalar potential.

Results support conventional universality class classification.

Abstract

The Anderson transition in three dimensions in a randomly varying magnetic flux is investigated in detail by means of the transfer matrix method with high accuracy. Both, systems with and without an additional random scalar potential are considered. We find a critical exponent of $\nu=1.45\pm0.09$ with random scalar potential. Without it, $\nu$ is smaller but increases with the system size and extrapolates within the error bars to a value close to the above. The present results support the conventional classification of universality classes due to symmetry.