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JOURNALS // Matematicheskaya Biologiya i Bioinformatika // Archive

Mat. Biolog. Bioinform., 2015 Volume 10, Issue 1, Pages 283–293 (Mi mbb226)

This article is cited 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

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.

UDC: 538.958, 538.956, 537.311.322, 538.915

Received 25.06.2015, Published 30.06.2015

DOI: 10.17537/2015.10.283



© Steklov Math. Inst. of RAS, 2026