Conserving approximations for the attractive Holstein and Hubbard models

Details Conserving approximations for the attractive Holstein and Hubbard models Conserving approximations for the attractive Holstein and Hubbard models

1994-02-06

arxiv.org/abs/cond-mat/9402029v1

Physics

Condensed Matter

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

Scientific paper

10.1103/PhysRevB.50.403

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.

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