Polaron with disordered electron-phonon interaction

TL;DR

This paper investigates how disordered electron-phonon interactions affect polaron properties in a one-dimensional lattice, revealing significant site-dependent variations and potential modulation of polaronic effects.

Contribution

It introduces a disordered electron-phonon interaction model within the extended Holstein framework and analyzes its impact on polaron characteristics at strong coupling.

Findings

Disordered electron-phonon interaction significantly alters polaron parameters.

Polaronic effects can be either enhanced or diminished by disorder.

All polaron parameters become site-dependent due to disorder.

Abstract

A single electron in one dimensional lattice is considered within the framework of extended Holstein model at strong-coupling limit. Disordered density-displacement type electron-phonon interaction is proposed. Basic parameters of small polaron formed due to disordered electron-phonon interaction are calculated. It is shown that disordered electron-phonon interaction substantially influences all properties of the polaron. Depending on disordered electron-phonon interaction polaronic effect might be enhanced or diminished. It turns out that all parameters of the polaron are site dependent. Further application of proposed model is briefly discussed.