Weak-coupling expansions for the attractive Holstein and Hubbard models
- 1 March 1994
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review B
- Vol. 49 (9) , 6368-6371
- https://doi.org/10.1103/physrevb.49.6368
Abstract
Weak-coupling expansions (conserving approximations) are carried out for the attractive Holstein and Hubbard models (on an infinite-dimensional hypercubic lattice) that include all band-structure and vertex correction effects. Quantum fluctuations are found to renormalize transition temperatures by factors of order unity, but may be incorporated into the superconducting channel of Migdal-Eliashberg theory by renormalizing the phonon frequency and the interaction strength.Keywords
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