RUS  ENG
Full version
JOURNALS // Preprints of the Keldysh Institute of Applied Mathematics // Archive

Keldysh Institute preprints, 2022 078, 19 pp. (Mi ipmp3103)

Low-density components of a Holstein polaron during its uniform motion in a constant electric field in the initial period of time

A. N. Korshunova, V. D. Lakhno


Abstract: In this paper, we consider the formation of low-density components of a polaron during its uniform motion in a polynucleotide chain subjected to a constant electric field. The calculations performed show that Bloch oscillations, usually observed during the oscillatory regime of polaron motion along the chain, do not completely disappear when the polaron motion along the chain becomes uniform. It is shown that after the electric field is turned on, the low-density components of the polaron, which have their own internal dynamics, are formed. And despite the fact that the macro-part of the polaron moves at a constant velocity, retaining its shape, the low-density components of the polaron demonstrate such characteristics of Bloch oscillations as the period of Bloch oscillations and the maximum Bloch amplitude.

Keywords: nanobioelectronics, nanowire, molecular chain, polaron, DNA, charge transfer, Holstein model.

DOI: 10.20948/prepr-2022-78



© Steklov Math. Inst. of RAS, 2024