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
Tel.: ++49 6221 549431 (Secretary)
Fax: ++49 6221 549331

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

Archiv: cond-mat/9609065


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.


author="Andreas Mielke",
title="Similarity renormalization of the electron--phonon coupling",
journal="Ann. Physik (Leipzig)",

Back to the list of publications.

Last changes: 5.7.2018.
Privacy policy