Abstract
The DOS, the dynamic (optical) conductivity, and the phase diagram of a strongly correlated and strongly disordered paramagnetic Anderson-Hubbard model are analyzed within the generalized dynamical mean field theory (DMFT + Σ approximation). Strong correlations are taken into account by the DMFT, and disorder is taken into account via an appropriate generalization of the self-consistent theory of localization. The DMFT effective single-impurity problem is solved by a numerical renormalization group (NRG); we consider the three-dimensional system with a semielliptic DOS. The correlated metal, Mott insulator, and correlated Anderson insulator phases are identified via the evolution of the DOS and dynamic conductivity, demonstrating both the Mott-Hubbard and Anderson metal-insulator transition and allowing the construction of the complete zero-temperature phase diagram of the Anderson-Hubbard model. Rather unusual is the possibility of a disorder-induced Mott insulator-to-metal transition.
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Kuchinskii, E.Z., Nekrasov, I.A. & Sadovskii, M.V. Mott-Hubbard transition and Anderson localization: A generalized dynamical mean-field theory approach. J. Exp. Theor. Phys. 106, 581–596 (2008). https://doi.org/10.1134/S1063776108030187
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DOI: https://doi.org/10.1134/S1063776108030187