Weak-coupling expansions for the attractive Holstein and Hubbard models

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.

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

References in corpus (2)

• The Hubbard Model at Infinite Dimensions: Thermodynamic and Transport Properties
• Magnetic and Dynamic Properties of the Hubbard Model in Infinite Dimensions

Cited by in corpus (12)

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• The Charge Ordered State from Weak to Strong Coupling
• Electron-Phonon Interactions in Flat Band Systems
• What are the experimentally observable effects of vertex corrections in superconductors?
• Conductivity and entanglement entropy of high dimensional holographic superconductors
• Eliashberg Theory in the Weak Coupling Limit
• Quantum phonons and the charge density wave transition temperature: a dynamical mean field study
• Dynamical instabilities and transient short-range order in the fermionic Hubbard model
• Vertex-corrected tunneling inversion in superconductors: Pb