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Matematicheskaya Biologiya i Bioinformatika, 2019, Volume 14, Issue 1, Pages 150–159
DOI: https://doi.org/10.17537/2019.14.150
(Mi mbb377)
 

This article is cited in 8 scientific papers (total in 8 papers)

Mathematical Modeling

Polaron in electric field and vibrational spectrum of polyacetylene

T. Yu. Astakhova, G. A. Vinogradov

Emanuel Institute of Biochemical Physics, Russian Academy of Sciences, Moscow, Russia
Full-text PDF (816 kB) Citations (8)
References:
Abstract: In the present paper, the evolution of a polaron in polyacetylene in electric field is studied in detail. It is shown that the dependence of the polaron velocity on the applied field is determined by the peculiarities of the vibrational spectrum of polyacetylene. The spectrum is calculated numerically using the Hessian, the matrix of the second derivatives of the potential energy of the system. A supersonic polaron moving in an electric field generates coherent vibrations of the optical branch of the spectrum of the polyacetylene. The phase velocity of these oscillations is equal to the polaron velocity. An additional condition for the excitation of a mode with a certain phase velocity is its correspondence to the Fourier spectrum of an impulse with polaron shape.
Key words: polyacetylene, polaron, electron-phonon interaction, coherent vibrations.
Received 19.03.2019, 03.04.2019, Published 25.04.2019
Document Type: Article
UDC: 538.93
Language: Russian
Citation: T. Yu. Astakhova, G. A. Vinogradov, “Polaron in electric field and vibrational spectrum of polyacetylene”, Mat. Biolog. Bioinform., 14:1 (2019), 150–159
Citation in format AMSBIB
\Bibitem{AstVin19}
\by T.~Yu.~Astakhova, G.~A.~Vinogradov
\paper Polaron in electric field and vibrational spectrum of polyacetylene
\jour Mat. Biolog. Bioinform.
\yr 2019
\vol 14
\issue 1
\pages 150--159
\mathnet{http://mi.mathnet.ru/mbb377}
\crossref{https://doi.org/10.17537/2019.14.150}
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  • This publication is cited in the following 8 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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