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

A. Hübsch () and K. Becker

The European Physical Journal B: Condensed Matter and Complex Systems, 2003, vol. 33, issue 4, 391-396

Abstract: 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

Keywords: 71.10.Fd Lattice fermion models; 74.20.Fg BCS theory and its development (search for similar items in EconPapers)
Date: 2003
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DOI: 10.1140/epjb/e2003-00180-9

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