Electron pairing in one-dimensional anharmonic crystal lattices

Authors

  • M. G. Velarde,

    Corresponding author
    1. Instituto Pluridisciplinar, Universidad Complutense, Paseo Juan XXIII, 1, Madrid 28040, Spain
    • Instituto Pluridisciplinar, Universidad Complutense, Paseo Juan XXIII, 1, Madrid 28040, Spain
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  • L. Brizhik,

    1. Instituto Pluridisciplinar, Universidad Complutense, Paseo Juan XXIII, 1, Madrid 28040, Spain
    2. Bogolyubov Institute for Theoretical Physics, Metrolohichna Str., 14b, Kyiv 03680, Ukraine
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  • A. P. Chetverikov,

    1. Instituto Pluridisciplinar, Universidad Complutense, Paseo Juan XXIII, 1, Madrid 28040, Spain
    2. Faculty of Physics, Chernyshevsky State University, Astracanskaya 83, Saratov 410012, Russia
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  • L. Cruzeiro,

    1. Instituto Pluridisciplinar, Universidad Complutense, Paseo Juan XXIII, 1, Madrid 28040, Spain
    2. CCMAR and FCT, Universidade do Algarve, Portugal, Campus de Gambelas, Faro 8005-139, Portugal
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  • W. Ebeling,

    1. Instituto Pluridisciplinar, Universidad Complutense, Paseo Juan XXIII, 1, Madrid 28040, Spain
    2. Institut für Physik, Humboldt Universität, Newtonstrasse 15, Berlin 12489, Germany
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  • G. Röpke

    1. Instituto Pluridisciplinar, Universidad Complutense, Paseo Juan XXIII, 1, Madrid 28040, Spain
    2. Institut für Physik, Universität Rostock, Universitätsplatz, 3, Rostock 18051, Germany
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Abstract

We show that when anharmonicity is added to the electron–phonon interaction it facilitates electron pairing in a localized state. Such localized state appears as singlet state of two electrons bound with the traveling local lattice soliton distortion, which survives when Coulomb repulsion is included. © 2011 Wiley Periodicals, Inc. Int J Quantum Chem, 2012

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