Quantum transport phenomena in disordered electron systems with spin-orbit coupling in two dimensions and below

TL;DR

This paper investigates quantum transport in disordered 2D electron systems with spin-orbit coupling, confirming theoretical predictions of perfect conductivity and exploring transport in fractal structures through numerical analysis.

Contribution

It provides numerical evidence supporting the existence of a 2D metallic phase with perfect conductivity in systems with spin-orbit coupling and examines transport in fractal geometries.

Findings

Logarithmic increase of mean conductance in 2D systems

Scaling of quasi-1D localization length supports metallic phase

Transport properties in Sierpinski carpet fractals analyzed

Abstract

Electron transport phenomena in disordered electron systems with spin-orbit coupling in two dimensions and below are studied numerically. The scaling hypothesis is checked by analyzing the scaling of the quasi-1D localization length. A logarithmic increase of the mean conductance is also confirmed. These support the theoretical prediction that the two dimensional metal in systems with spin-orbit coupling has a perfect conductivity. Transport through a Sierpinski carpet is also reported.