Metal-Insulator-Transition in a Weakly interacting Disordered Electron System

Abstract

The interplay of interactions and disorder is studied using the Anderson-Hubbard model within the typical medium dynamical cluster approximation. Treating the interacting, non-local cluster self-energy (${\Sigma }_c[\tilde{\mathcal{G}}](i,j\ne i)$) up to second order in the perturbation expansion of interactions, $U^2$, with a systematic incorporation of non-local spatial correlations and diagonal disorder, we explore the initial effects of electron interactions ($U$) in three dimensions. We find that the critical disorder strength ($W_c^U$), 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 $W_c^U$ and demonstrate that the mobility edge (${\omega }_{\epsilon }$) is preserved as long as the chemical potential, $\mu$, is at or beyond the mobility edge energy.

10 Pages, 8 Figures with Supplementary materials included

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• The Calculation of Two-Particle Quantities in the Typical Medium Dynamical Cluster Approximation
• Anderson localization effects on doped Hubbard model
• Realization of a "Two Relaxation Rates" in the Hubbard-Falicov-Kimball Model
• Transport and spectroscopic signatures of a disorder-stabilized metal in two-dimensional frustrated Mott insulators
• Disorder Enhanced Thermalization in Interacting Many-Particle System
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• Two-particle excitations under coexisting electron interaction and disorder
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