Ruprecht-Karls-Universität Heidelberg
University of HeidelbergFaculty of Physics and AstronomyInstitut of Theoretical PhysicsAndreas MielkeAndreas Mielkeemail

Andreas Mielke
Institut for Theoretical Physics
Ruprecht-Karls University
Philosophenweg 19
D-69120 Heidelberg
Germany
Tel.: ++49 6221 549431 (Secretary)
Fax: ++49 6221 549331
e-mail: mielke@tphys.uni-heidelberg.de


Andreas Mielke: Similarity renormalization of the electron--phonon coupling
Ann. Physik (Leipzig)6, 215-233 (1997) .

Archiv: cond-mat/9609065

Abstract

We study the problem of the phonon-induced electron-electron interaction in a solid. Starting with a Hamiltonian that contains an electron-phonon interaction, we perform a similarity renormalization transformation to calculate an effective Hamiltonian. Using this transformation singularities due to degeneracies are avoided explicitely. The effective interactions are calculated to second order in the electron-phonon coupling. It is shown that the effective interaction between two electrons forming a Cooper pair is attractive in the whole parameter space. The final result is compared with effective interactions obtained using other approaches.

BibTeX-entry

@article{Mielke1997a,
author="Andreas Mielke",
title="Similarity renormalization of the electron--phonon coupling",
journal="Ann. Physik (Leipzig)",
volume="6",
pages="215-233",
year="1997"
}

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Last changes: 15.11.2017. mielke@tphys.uni-heidelberg.de