English

Weak-coupling expansions for the attractive Holstein and Hubbard models

Condensed Matter 2009-10-22 v1

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 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.

Keywords

Cite

@article{arxiv.cond-mat/9308024,
  title  = {Weak-coupling expansions for the attractive Holstein and Hubbard models},
  author = {J. K. Freericks and D. J. Scalapino},
  journal= {arXiv preprint arXiv:cond-mat/9308024},
  year   = {2009}
}

Comments

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

R2 v1 2026-07-22T11:46:21.148Z