Double path integral method for obtaining the mobility of the one-dimensional charge transport in molecular chain
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Author list: Yoo-Kong S., Liewrian W.
Publisher: Springer
Publication year: 2015
Journal: The European Physical Journal E (1292-8941)
Volume number: 38
Issue number: 12
Start page: 1
End page: 10
Number of pages: 10
ISSN: 1292-8941
eISSN: 1292-895X
Languages: English-Great Britain (EN-GB)
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Abstract
Abstract.: We report on a theoretical investigation concerning the polaronic effect on the transport properties of a charge carrier in a 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 (A.S. Mishchenko et al., Phys. Rev. Lett. 114, 146401 (2015)) of transport phenomena related to polaron motion in the molecular chain. Graphical abstract: [Figure not available: see fulltext.] © 2015, EDP Sciences, SIF, Springer-Verlag Berlin Heidelberg.
Keywords
Living systems: Biological Matter
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