Mott–Hubbard Transition and Anderson Localization: Generalized Dynamical Mean-Field Theory Approach
E.Z. Kuchinskii, I.A. Nekrasov, M.V. Sadovskii
Institute for Electrophysics, Russian Academy of Sciences, Ekaterinburg, 620016, Russia
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+Σ approximation). 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.
To download the article click on the link below:
http://sadovski.iep.uran.ru/RUSSIAN/LTF/DATA/dis_hub.pdf
Institute for Electrophysics, Russian Academy of Sciences, Ekaterinburg, 620016, Russia
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+Σ approximation). 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.
To download the article click on the link below:
http://sadovski.iep.uran.ru/RUSSIAN/LTF/DATA/dis_hub.pdf
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