Density of states and extent of wave function: two crucial factors for small polaron hopping conductivity in 1D

TL;DR

This paper presents a theoretical model analyzing how the density of states and wave function extent influence small polaron hopping conductivity in 1D disordered systems across various temperatures and electric fields.

Contribution

It introduces a combined analytical and numerical model to evaluate small polaron conductivity considering key factors like density of states and wave function extent in 1D systems.

Findings

Density of states significantly affects polaron hopping conductivity.

Wave function extent influences the hopping mechanism.

Model applicable up to 300 K and high electric fields.

Abstract

We introduce a theoretical model to scrutinize the conductivity of small polarons in one-dimensional disordered systems, focusing on two crucial --as will be demonstrated-- factors: the density of states and the spatial extent of the electronic wave function. The investigation is performed for any temperature up to 300 K and under electric field of arbitrary strength up to the polaron dissociation limit. To accomplish this task we combine analytical work with numerical calculations.