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Renormalization of the electron-phonon interaction: a reformulation of the BCS-gap equation

Listed author(s):
  • A. Hübsch


  • K. Becker
Registered author(s):

    A recently developed renormalization approach is used to study the electron-phonon coupling in many-electron systems. By starting from an Hamiltonian which includes a small gauge symmetry breaking field, we directly derive a BCS-like equation for the energy gap from the renormalization approach. The effective electron-electron interaction for Cooper pairs does not contain any singularities. Furthermore, it is found that phonon-induced particle-hole excitations only contribute to the attractive electron-electron interaction if their energy difference is smaller than the phonon energy. Copyright EDP Sciences, Springer-Verlag 2003

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    Article provided by Springer & EDP Sciences in its journal The European Physical Journal B - Condensed Matter and Complex Systems.

    Volume (Year): 33 (2003)
    Issue (Month): 4 (June)
    Pages: 391-396

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    Handle: RePEc:spr:eurphb:v:33:y:2003:i:4:p:391-396
    DOI: 10.1140/epjb/e2003-00180-9
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