Electron transport in strongly disordered structures

TL;DR

This paper studies how electrons move through strongly disordered two-dimensional materials, revealing a transition from homogeneous distribution to narrow channels, while confirming the wave nature of electrons even in extreme disorder.

Contribution

It demonstrates the existence of a narrow conduction channel in strongly disordered systems and confirms the wave character of electrons in such regimes using transfer matrix analysis.

Findings

Homogeneous electron distribution in weak disorder

Narrow conduction channel in strong disorder

Wave nature persists in extreme disorder

Abstract

Using the transfer matrix technique, we investigate the propagation of electron through a two dimensional disordered sample. We find that the spatial distribution of electrons is homogeneous only in the limit of weak disorder (diffusive transport regime). In the limit of very strong disorder, we identify a narrow channel through which the electron propagates from one side of the sample to the opposite side. Even in this limit, we prove the wave character of the electron propagation.