Double path-integral method for obtaining the mobility of the one-dimensional charge transport in molecular chain
Abstract
We report on a theoretical investigation concerning the polaronic effect on the transport properties of a charge carrier in the one-dimensional molecular chain. Our technique is based on the Feynman's path integral approach. Analytical expressions for the frequency-dependent mobility and effective mass of the carrier are obtained as functions of electron-phonon coupling. The result exhibits the crossover from a nearly free particle to a heavily trapped particle. We find that the mobility depends on temperature and decreases exponentially with increasing temperature at low temperature. It exhibits large-polaronic-like behaviour in the case of weak electron-phonon coupling. These results agree with the phase transition \cite{Mish} of transport phenomena related to polaron motion in the molecular chain.
Cite
@article{arxiv.1203.5917,
title = {Double path-integral method for obtaining the mobility of the one-dimensional charge transport in molecular chain},
author = {Sikarin Yoo-Kong and Watchara Liewrian},
journal= {arXiv preprint arXiv:1203.5917},
year = {2015}
}
Comments
This paper has been withdrawn by the author due to a crucial error of numerical results