Weak-coupling expansions for the attractive Holstein and Hubbard models

Details Weak-coupling expansions for the attractive Holstein and Hubbard models Weak-coupling expansions for the attractive Holstein and Hubbard models

1993-08-17

arxiv.org/abs/cond-mat/9308024v1

Physics

Condensed Matter

10 pages, (five figures available from the author by request) typeset with ReVTeX, preprint NSF-ITP-93-100

Scientific paper

10.1103/PhysRevB.49.6368

Weak-coupling expansions (conserving approximations) are carried out for the attractive Holstein and Hubbard models (on an infinite-dimensional hypercubic lattice) that include all bandstructure 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.

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