The Anderson transition due to random spin-orbit coupling in two-dimension

TL;DR

This paper investigates the Anderson transition in a two-dimensional SU(2) model with chiral symmetry, demonstrating single parameter scaling and estimating a critical exponent indicating a symplectic universality class.

Contribution

It provides the first detailed analysis of the Anderson transition in a 2D SU(2) model with chiral symmetry, including critical exponent estimation.

Findings

Single parameter scaling observed.

Critical exponent estimated as ν=2.72±0.02.

Transition belongs to the symplectic universality class.

Abstract

We report an analysis of the Anderson transition in an SU(2) model with chiral symmetry. Clear single parameter scaling behaviour is observed. We estimate the critical exponent for the divergence of the localization length to be $\nu=2.72\pm.02$ indicating that the transition belongs to the symplectic universality class.