Anomalous properties of the Kronig-Penney model with compositional and structural disorder

TL;DR

This paper investigates how combined compositional and structural disorder in the Kronig-Penney model leads to unusual localization behaviors, providing a general expression for localization length considering correlations.

Contribution

It introduces a comprehensive formula for localization length in the presence of correlated compositional and structural disorder in the Kronig-Penney model.

Findings

Disorder interplay causes anomalous localization effects

Derived a general localization length expression

Highlights importance of correlations in disorder

Abstract

We study the localization properties of the eigenstates in the Kronig-Penney model with weak compositional and structural disorder. The main result is an expression for the localization length that is valid for any kind of self- and inter-correlations of the two types of disorder. We show that the interplay between compositional and structural disorder can result in anomalous localization.