The Anderson Transition in Two-Dimensional Systems with Spin-Orbit Coupling

TL;DR

This paper numerically investigates the Anderson transition in 2D systems with spin-orbit coupling, accurately estimating the critical exponent for localization length divergence, which was previously unreported.

Contribution

It provides the first precise estimate of the critical exponent for the Anderson transition in 2D spin-orbit coupled systems using the SU(2) model.

Findings

Critical exponent ν = 2.73 ± 0.02 estimated.

Corrections to scaling due to irrelevant variables are negligible.

First accurate estimate of the localization length divergence in this universality class.

Abstract

We report a numerical investigation of the Anderson transition in two-dimensional systems with spin-orbit coupling. An accurate estimate of the critical exponent $\nu$ for the divergence of the localization length in this universality class has to our knowledge not been reported in the literature. Here we analyse the SU(2) model. We find that for this model corrections to scaling due to irrelevant scaling variables may be neglected permitting an accurate estimate of the exponent $\nu=2.73 \pm 0.02$.