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Matematicheskaya Biologiya i Bioinformatika, 2015, Volume 10, Issue 1, Pages 283–293
DOI: https://doi.org/10.17537/2015.10.283 (Mi mbb226) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Mathematical Modeling

Bipolaron in anisotropic crystals (arbitrary coupling)

N. I. Kashirinaa, V. D. Lakhnob

a Institute of Semiconductor Physics of the National Academy of Sciences of Ukraine, Kiev, Ukraine
b Institute of Mathematical problems of Biology, Russian Academy of Sciences, Pushchino, Moscow region, Russia
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DOI: https://doi.org/10.17537/2015.10.283
Abstract: The work is devoted to obtaining the bipolaron functional in anisotropic crystals by Buimistrov–Pekar method for an arbitrary electron-phonon coupling. The effect of electron correlations related to the direct dependence of the wave function from the distance between the electrons on bipolaron energy is studied. The single-center and two-center (coaxial configuration) bipolaron models in crystals with anisotropic effective mass for the limiting case of quasi-systems (the system “light axis”) were compared.
Key words: electron-phonon interaction, anisotropic crystals, polaron, bipolaron.
Funding agency Grant number
Russian Foundation for Basic Research 13-07-00256_а
Received 25.06.2015, Published 30.06.2015
Document Type: Article
UDC: 538.958, 538.956, 537.311.322, 538.915
Language: Russian
Citation: N. I. Kashirina, V. D. Lakhno, “Bipolaron in anisotropic crystals (arbitrary coupling)”, Mat. Biolog. Bioinform., 10:1 (2015), 283–293
Citation in format AMSBIB
\Bibitem{KasLak15}
\by N.~I.~Kashirina, V.~D.~Lakhno
\paper Bipolaron in anisotropic crystals (arbitrary coupling)
\jour Mat. Biolog. Bioinform.
\yr 2015
\vol 10
\issue 1
\pages 283--293
\mathnet{http://mi.mathnet.ru/mbb226}
\crossref{https://doi.org/10.17537/2015.10.283}
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  • https://www.mathnet.ru/eng/mbb/v10/i1/p283
    • This publication is cited in the following 2 articles:
    1. N. I. Kashirina, V. D. Lakhno, “Correlation effects and configuration of a one-dimensional bipolaron”, Phys. Lett. A, 383:35 (2019), 126003  crossref  mathscinet  isi  scopus
    2. Victor Lakhno, “A translation invariant bipolaron in the Holstein model and superconductivity”, SpringerPlus, 5:1 (2016)  crossref
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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    References:85
     
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