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Strong interaction of correlated electrons with phonons: Exchange of phonon clouds by polarons

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Abstract

The interaction of strongly correlated electrons with phonons in the framework of the Hubbard-Holstein model is investigated. The electron-phonon interaction is considered to be strong and is an important parameter of the model, in addition to the Coulomb repulsion of electrons and the band filling. This interaction with nondispersive optical phonons is transformed to the problem of mobile polarons using the canonical transformation of Lang and Firsov. We discuss the case where the on-site Coulomb repulsion is exactly canceled by the phonon-mediated attractive interaction. It is suggested that polarons exchanging phonon clouds can lead to polaron pairing and superconductivity. The fact that the frequency of the collective mode of phonon clouds is larger than the bare frequency then determines the superconducting transition temperature.

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Authors and Affiliations

  1. Joint Institute for Nuclear Research, Dubna, Moscow oblast, 141980, Russia

    V. A. Moskalenko

  2. Theoretische Physik, Gerhard-Mercator-Universität Duisburg, 47048, Duisburg, Germany

    P. Entel

  3. Dipartimento di Scienze Fisiche E. R. Caianiello, Universita degli Studi di Salerno, 84081, Baronissi, Italy

    M. Marinaro

  4. Institute of Applied Physics, Moldova Academy of Sciences, Chisinau, 2028, Moldova

    D. F. Digor

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  1. V. A. Moskalenko
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  2. P. Entel
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  3. M. Marinaro
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  4. D. F. Digor
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From Zhurnal Éksperimental’no\(\overset{\lower0.5em\hbox{$\smash{\scriptscriptstyle\smile}$}}{l} \) i Teoretichesko\(\overset{\lower0.5em\hbox{$\smash{\scriptscriptstyle\smile}$}}{l} \) Fiziki, Vol. 124, No. 3, 2003, pp. 700–713.

Original English Text Copyright © 2003 by Moskalenko, Entel, Marinaro, Digor.

This article was submitted by the authors in English.

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Moskalenko, V.A., Entel, P., Marinaro, M. et al. Strong interaction of correlated electrons with phonons: Exchange of phonon clouds by polarons. J. Exp. Theor. Phys. 97, 632–644 (2003). https://doi.org/10.1134/1.1618349

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