Possible Anderson transition below two dimensions in disordered systems of noninteracting electrons

TL;DR

This paper explores the potential for an Anderson transition in disordered non-interacting electron systems with symplectic symmetry below two dimensions, using numerical analysis on fractal structures.

Contribution

It provides numerical evidence for an Anderson transition below two dimensions in systems with symplectic symmetry, specifically on Sierpinski carpets.

Findings

Indicates an Anderson transition occurs below two dimensions.

Energy level statistics support the transition.

Conductance statistics support the transition.

Abstract

We investigate the possibility of an Anderson transition below two dimensions in disordered systems of non-interacting electrons with symplectic symmetry. Numerical analysis of energy level statistics and conductance statistics on Sierpinski carpets with spin-orbit coupling indicates the occurrence of an Anderson transition below two dimensions.