Asymptotic limit of high spatial dimensions and thermodynamic consistence

Details Asymptotic limit of high spatial dimensions and thermodynamic consistence Asymptotic limit of high spatial dimensions and thermodynamic consistence

1999-04-06

arxiv.org/abs/cond-mat/9904068v1

Phys. Rev. Lett. 83, 2781 (1999)

Physics

Condensed Matter

Strongly Correlated Electrons

REVTeX, 4 pages, 2 EPS figures

Scientific paper

10.1103/PhysRevLett.83.2781

The question of thermodynamic consistence and $\Phi$-derivability of the asymptotic limit of high spatial dimensions for quantum itinerant models is addressed. It is shown that although the irreducible $n$-particle Green functions are local, reducible vertex functions retain different momentum dependence. As a consequence, the vertex corrections to conductivity do not generally vanish in the mean-field limit. The mean-field theory is a $\Phi$-derivable approximation only if regular nonlocal or anomalous local external sources are admitted.

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