Dynamical Mean Field Study of the Two-Dimensional Disordered Hubbard Model

Abstract

We study the two-dimensional paramagnetic Anderson-Hubbard model using an extension of dynamical mean-field theory that allows us to treat disorder and strong electronic correlations on equal footing. We investigate the scaling of the inverse participation ratio at quarter- and half-filling and find a nonmonotonic dependence of the localization length on the interaction strength. We do not find evidence for an insulator-metal transition. The disorder potential becomes unscreened near the Mott transition. Furthermore, strong correlations suppress the Altshuler-Aronov density of states anomaly near half-filling.

5 pages, 4 figures. Revised version, In Press Phys. Rev. B

References in corpus (5)

• Metal-insulator transition in two-dimensional electron systems
• Disorder-Driven Non-Fermi Liquid Behavior of Correlated Electrons
• Pseudogap and Mott Transition Studied by Cellular Dynamical Mean Field Theory
• Scaling behavior of an Anderson impurity close to the Mott-Anderson transition
• The geometrically-averaged density of states as a measure of localization

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• Interacting fermions in 1D disordered lattices: Exploring localization and transport properties with lattice density-functional theories
• Self-consistent study of Anderson localization in the Anderson-Hubbard model in two and three dimensions
• Canted Antiferromagnetic Order of Imbalanced Fermi-Fermi mixtures in Optical Lattices by Dynamical Mean-Field Theory
• Localization of correlated fermions in optical lattices with speckle disorder