Statistical mean-field approach to a disordered Hubbard model

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Abstract
The presence of disorder, reflecting a range of local environments may lead to local moment formation on an inhomogeneous scale; the essential element of the theory is a self-consistent description of local charges and magnetic moments on sites of different site energies, in , arising from the occurrence of site disorder. The authors consider self-consistently determined local and total pseudoparticle spectra, in -dependent site occupation probabilities, and a measure of the Fermi-level charge distribution over the sites. Particular attention is given to the evolution of the interplay between disorder and interactions as the band filling fraction, y, is increased from y approximately=0 through to the half-filled limit, y=1.