Double path-integral method for obtaining the mobility of the\n one-dimensional charge transport in molecular chain

2012/03/27 by Sikarin Yoo-Kong, Yoo-Kong, Sikarin, Watchara Liewrian +1
Materials Science · Physics and Astronomy · #FOS: Physical sciences #Mathematical Physics (math-ph) #Mesoscale and Nanoscale Physics (cond-mat.mes-hall) #Organic and Molecular Conductors Research #Quantum and electron transport phenomena #Soft Condensed Matter (cond-mat.soft) #Spectroscopy and Quantum Chemical Studies

paper · pdf · doi:10.48550/arxiv.1203.5917

openalex publication_date 2012/03/27 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We report on a theoretical investigation concerning the polaronic effect on\nthe transport properties of a charge carrier in the one-dimensional molecular\nchain. Our technique is based on the Feynman's path integral approach.\nAnalytical expressions for the frequency-dependent mobility and effective mass\nof the carrier are obtained as functions of electron-phonon coupling. The\nresult exhibits the crossover from a nearly free particle to a heavily trapped\nparticle. We find that the mobility depends on temperature and decreases\nexponentially with increasing temperature at low temperature. It exhibits\nlarge-polaronic-like behaviour in the case of weak electron-phonon coupling.\nThese results agree with the phase transition citeMish of transport\nphenomena related to polaron motion in the molecular chain.\n

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