A Polaron in Molecular Chains with Dispersion
V. D. Lakhno* and N. S. Fialko
Institute of Mathematical Problems of Biology, Russian Academy of Sciences,
ul. Institutskaya 4, Pushchino, Moscow oblast, 142290 Russia
*e-mail: lak@impb.psn.ru
Received August 27, 2009
AbstractThe polaron or soliton mechanism is one of the possible mechanisms of charge transfer in biopoly-
mers. The states with the lowest energy, i.e., stationary polarons, and their dependence on the dispersion in a
classical chain have been investigated using numerical experiments in terms of the one-dimensional discrete
Holstein model. It has been shown that an increase in the dispersion leads to an increase in the total energy of
the system and in the polaron radius. The mobility of charge carriers in molecular chains has been calculated
for different dispersions. It has been demonstrated that, in the case of polynucleotide chains, the inclusion of
the dispersion can substantially increase the hole mobility.
DOI: 10.1134/S1087659611010068
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