Conserving approximations for the attractive Holstein and Hubbard models

Abstract

Conserving approximations are applied to the attractive Holstein and Hubbard models (on an infinite-dimensional hypercubic lattice). All effects of nonconstant density of states and vertex corrections are taken into account in the weak-coupling regime. Infinite summation of certain classes of diagrams turns out to be a quantitatively less accurate approximation than truncation of the conserving approximations to a finite order, but the infinite summation approximations do show the correct qualitative behavior of generating a peak in the transition temperature as the interaction strength increases.

33 pages, typeset in ReVTeX, NSF-ITP-94-01

References in corpus (3)

• The Hubbard Model at Infinite Dimensions: Thermodynamic and Transport Properties
• Magnetic and Dynamic Properties of the Hubbard Model in Infinite Dimensions
• Weak-coupling expansions for the attractive Holstein and Hubbard models

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