Iterated perturbation theory for the attractive Holstein and Hubbard models

Details Iterated perturbation theory for the attractive Holstein and Hubbard models Iterated perturbation theory for the attractive Holstein and Hubbard models

1994-05-10

arxiv.org/abs/cond-mat/9405025v2

Physics

Condensed Matter

27 pages, RevTex (figures appended at end)

Scientific paper

10.1103/PhysRevB.50.6939

A strictly truncated (weak-coupling) perturbation theory is applied to the attractive Holstein and Hubbard models in infinite dimensions. These results are qualified by comparison with essentially exact Monte Carlo results. The second order iterated perturbation theory is shown to be quite accurate in calculating transition temperatures for retarded interactions, but is not as accurate for the self energy or the irreducible vertex functions themselves. Iterated perturbation theory is carried out thru fourth order for the Hubbard model. The self energy is quite accurately reproduced by the theory, but the vertex functions are not. Anomalous behavior occurs near half filling because the iterated perturbation theory is not a conserving approximation. (REPLACED WITH UUENCODED FIGURES AT THE END. THE TEXT IS UNCHANGED)

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