Interplay Between the Electric Field and the Nonlinear Interaction in Ordered and Disordered Chains

TL;DR

This paper investigates how nonlinear interactions influence electronic properties in ordered and disordered chains, revealing suppression of Wannier-Stark effects and a transition from superlocalized to weakly localized states.

Contribution

It introduces a simple Kronig-Penney model to analyze the interplay between electric fields and nonlinear interactions in chain systems.

Findings

Nonlinearity suppresses Wannier-Stark effect in ordered chains.

Disorder combined with nonlinearity causes a transition from superlocalized to weakly localized states.

The model provides insights into electronic behavior under combined electric and nonlinear effects.

Abstract

A simple Kronig-Penney model is used to study the effect of nonlinear interactions on the electronic properties of ordered and disordered electrified chains. In the case of ordered potentials, we found that the nonlinearity suppresses the Wannier-Stark effect caused by the electric field. In the case of disordered potentials, the nonlinearity gives rise to a transition from superlocalized to weakly localized states.