Theoretical studies of the effect of pair scattering process on two-gap superconductivity in Eliashberg theory

Authors

  • Hidemi Nagao,

    1. Division of Mathematical and Physical Science, Graduate School of Natural Science and Technology, Kanazawa University, Kakuma, Kanazawa 920-1192, Japan
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  • Hiroyuki Kawabe

    Corresponding author
    1. Department of Social Work, Faculty of Social Work, Kinjo University, 1200 Kasama, Hakusan Ishikawa 924-8511, Japan
    • Department of Social Work, Faculty of Social Work, Kinjo University, 1200 Kasama, Hakusan Ishikawa 924-8511, Japan
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Abstract

Two-gap superconductivity is investigated from the viewpoint of strong electron–phonon coupling including effective electron–electron interaction within an extension of the Eliashberg theory. The two-band Eliashberg theory is extended to a more general formalism, including the pair scattering process between two bands. We present a coupled extended Eliashberg equation. We discuss the contribution of effective electron–electron interaction and the electron–phonon coupling to two-gap superconductivity in relation to frequency dependence, using the extended Eliashberg equation and a model for phonon spectral density. © 2006 Wiley Periodicals, Inc. Int J Quantum Chem, 2006

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