A theoretical model obtained in momentum space for charge transport in a system consisting of non-interacting polarons

TL;DR

This paper presents a theoretical model for charge transport in non-interacting polarons, unifying band and phonon-assisted mechanisms depending on temperature and coupling strength.

Contribution

It introduces a nonperturbative method to derive a compact relation for charge transport in polaron systems, covering different transport regimes.

Findings

Unified description of band and phonon-assisted transport

Dependence of transport on temperature and electron-phonon coupling

Nonperturbative derivation of charge transport relation

Abstract

We developed a theory of charge transport in a system of non-interacting polarons. The theory was conducted to a compact relation through a nonperturbative method based on electron-phonon Hamiltonian. The derived final result represents both two different limits of band and phonon assisted transports which depends on temperature and electron-phonon coupling strength.