Mott-Hubbard Transition and Anderson Localization: Generalized Dynamical Mean-Field Theory Approach

Abstract

Density of states, dynamic (optical) conductivity and phase diagram of strongly correlated and strongly disordered paramagnetic Anderson-Hubbard model are analyzed within the generalized dynamical mean field theory (DMFT+Σapproximation). Strong correlations are accounted by DMFT, while disorder is taken into account via the appropriate generalization of self-consistent theory of localization. The DMFT effective single impurity problem is solved by numerical renormalization group (NRG) and we consider the three-dimensional system with semi-elliptic density of states. Correlated metal, Mott insulator and correlated Anderson insulator phases are identified via the evolution of density of states and dynamic conductivity, demonstrating both Mott-Hubbard and Anderson metal-insulator transition and allowing the construction of complete zero-temperature phase diagram of Anderson-Hubbard model. Rather unusual is the possibility of disorder induced Mott insulator to metal transition.

15 pages, 16 figures

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Cited by in corpus (15)

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• Self-consistent study of Anderson localization in the Anderson-Hubbard model in two and three dimensions
• Attractive Hubbard model with disorder and the generalized Anderson theorem
• Hall effect in doped Mott insulator: DMFT-approximation
• Disorder Effects in BCS-BEC Crossover Region of Attractive Hubbard Model
• Temperature dependence of the upper critical field in disordered Hubbard model with attraction
• Attractive Hubbard Model: Homogeneous Ginzburg - Landau Expansion and Disorder
• Ginzburg - Landau Expansion in BCS - BEC Crossover Region of Disordered Attractive Hubbard Model
• DMFT+Sigma approach to disordered Hubbard model
• Temperature Dependence of Paramagnetic Critical Magnetic Field in Disordered Attractive Hubbard Model
• Ginzburg - Landau expansion in strongly disordered attractive Anderson - Hubbard model
• Hall Effect in Doped Mott-Hubbard Insulator
• Ginzburg-Landau expansion and the upper critical field in disordered attractive Hubbard model
• Thermoelectric Power and Hall Effect in Correlated Metals and Doped Mott-Hubbard Insulators: DMFT approximation
• Local density of states and scattering rates across the many-body localization transition