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The interplay of interactions and disorder is studied using the Anderson-Hubbard model within the typical medium dynamical cluster approximation. Treating the interacting, nonlocal cluster self-energy [Σc[G](i,j≠i)] up to second order in the perturbation expansion of interactions, U2, with a systematic incorporation of nonlocal spatial correlations and diagonal disorder, we explore the initial effects of electron interactions (U) in three dimensions. We find that the critical disorder strength (WcU), required to localize all states, increases with increasing U; implying that the metallic phase is stabilized by interactions. Using our results, we predict a soft pseudogap at the intermediate W close to WcU and demonstrate that the mobility edge (ωε) is preserved as long as the chemical potential, μ, is at or beyond the mobility edge energy.

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Physical Review B - Condensed Matter and Materials Physics