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JOURNALS // Preprints of the Keldysh Institute of Applied Mathematics // Archive

Keldysh Institute preprints, 2019 085, 30 pp. (Mi ipmp2723)

This article is cited in 1 paper

Bloch oscillations of the Holstein polaron in the process of its uniform motion along a chain in a constant electric field

A. N. Korshunova, V. D. Lakhno


Abstract: The performed calculations showed that the Bloch oscillations arising in the process of the oscillatory regime of polaron motion along the chain are also becomes apparent when the polaron moves uniformly along the chain, however in a somewhat different form. Thus, in the course of uniform polaron motion along the chain, the polaron tests not only Peierls–Nabarro oscillations, but also small oscillations with the Bloch period. It is shown that the polaron shape in the process of stationary motion in a constant electric field takes on an explicit structure. What is more, such characteristics of Bloch oscillations, as the period of the Bloch oscillations and the maximum Bloch amplitude, demonstrate low-amplitude components of the polaron.

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

DOI: 10.20948/prepr-2019-85



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