Electron delocalization and multifractal scaling in electrified random chains

TL;DR

This study investigates how a constant electric field affects electron localization in a disordered chain, revealing complex, unstable multifractal behavior and non-systematic localization transitions.

Contribution

It applies multifractal scaling to analyze electric field effects on electron localization, highlighting instabilities and complex behavior not previously characterized.

Findings

Localization behavior varies non-systematically with electric field

Multifractal analysis captures localization and instabilities

Strong sensitivity to infinitesimal electric field changes

Abstract

Electron localization property of a random chain changing under the influence of a constant electric field has been studied. We have adopted the multifractal scaling formalism to explore the possible localization behavior in the system. We observe that the possible localization behavior with the increase of electric field is not systematic and shows strong instabilities associated with the local probability variation over the length of the chain. The multifractal scaling study captures the localization aspects along with strong instability when the electric field is changed by infinitesimal steps for a reasonably large system size.