Numerical estimation of the $\beta$-function in 2D systems with spin-orbit coupling

TL;DR

This paper numerically investigates the Anderson localization transition in a 2D electron system with spin-orbit coupling, estimating the beta-function across localized and metallic regimes.

Contribution

It provides a detailed numerical analysis of the beta-function in a 2D spin-orbit coupled system, extending understanding of localization phenomena.

Findings

Estimated the beta-function across localization and metallic regimes

Analyzed the scaling of the renormalized localization length

Provided insights into the Anderson transition in 2D systems with spin-orbit coupling

Abstract

We report a numerical study of Anderson localization in a 2D system of non-interacting electrons with spin-orbit coupling. We analyze the scaling of the renormalized localization length for the 2D SU(2) model and estimate its $\beta$-function over the full range from the localized to the metallic limits.