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

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

2002-09-13

arxiv.org/abs/cond-mat/0209311v2

Eur. Phys. J. B 33, 391 (2003)

Physics

Condensed Matter

Superconductivity

8 pages, version to appear in Eur. Phys. J. B

Scientific paper

10.1140/epjb/e2003-00180-9

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.

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