Abstract

An extension of the dynamical mean-field approximation (DMFA), which allows inclusion of nonlocal correlations is presented. This method is based on the projection technique and the DMFA, in which nonlocal contributions are taken into account through static correlations within a cluster embedded in a self-consistent medium, and local contributions are kept by the local part of the dynamic memory function of the propagator. We examine the method by studying the spinless Falicov-Kimball model. We find that the sum rules of the spectral density and its three first moments are preserved, and new nonlocal features of the spectral function appear near the Fermi level.

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