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arxiv: cond-mat/0002073 · v1 · submitted 2000-02-04 · ❄️ cond-mat.str-el

Toward a systematic 1/d expansion: Two particle properties

classification ❄️ cond-mat.str-el
keywords methodapproximationcorrectionsflexhubbardmodelpropertiesapart
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We present a procedure to calculate 1/d corrections to the two-particle properties around the infinite dimensional dynamical mean field limit. Our method is based on a modified version of the scheme of Ref. onlinecite{SchillerIngersent}}. To test our method we study the Hubbard model at half filling within the fluctuation exchange approximation (FLEX), a selfconsistent generalization of iterative perturbation theory. Apart from the inherent unstabilities of FLEX, our method is stable and results in causal solutions. We find that 1/d corrections to the local approximation are relatively small in the Hubbard model.

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