Abstract
We study a three-dimensional Anderson–Hubbard model under the coexistence of short-range interaction and diagonal disorder within the Hartree–Fock approximation. We show that the density of states at the Fermi energy is suppressed in the metallic phases near the metal–insulator transition as a proximity effect of the soft Hubbard gap in the insulating phases. The transition to the insulator is characterized by a vanishing density of states (DOS) in contrast to the formation of a quasiparticle peak at the Fermi energy obtained using the dynamical mean field theory in pure systems. Furthermore, we show that there exist frozen spin moments in the paramagnetic metal.
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