Partial electron localization in a finite-size superlattice placed in an electric field

TL;DR

This study investigates how electric fields influence partial electron localization in finite superlattices, revealing non-monotonic localization behavior and the dominant effect of superlattice potential over electric field strength.

Contribution

It introduces a quantitative criterion for partial localization and analyzes the competing effects of electric field and superlattice potential on electron localization.

Findings

Localization degree varies non-monotonically with electric field strength

Superlattice potential amplitude has a stronger impact on localization than electric field

A new criterion for quantifying partial electron localization is proposed

Abstract

Partial electron localization in a finite-size superlattice placed in an electric field is considered. The role of electric field in forming of quasilocalized states is investigated. A quantitative criterion for the degree of partial localization is suggested based on analysis of maximal probability density of finding an electron at a given point. It is found that with increase in the electric field the degree of localization does not increase monotonically. Furthermore, the localization is affected stronger by the amplitude of superlattice potential than by the electric field.