Renormalization of the electron-phonon interaction: a reformulation of the BCS-gap equation
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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Volume (Year): 33 (2003)
Issue (Month): 4 (June)
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