Anderson-Hubbard model with box disorder: Statistical dynamical mean-field theory investigation

2011/06/30 by D. Semmler, Denis Semmler, Krzysztof Byczuk +1 · 44 citations
Physics and Astronomy · #Condensed matter physics #Density of states #Distribution function #Dynamical mean field theory #Electron #Ground state #Hubbard model #Lattice (music) #Mean field theory #Phase (matter) #Phase diagram #Physics #Physics of Superconductivity and Magnetism #Quantum and electron transport phenomena #Quantum many-body systems #Quantum mechanics #Statistical physics #Superconductivity #cond-mat.dis-nn #cond-mat.str-el

paper · pdf · doi:10.1103/physrevb.84.115113

published in Physical Review B 84(11) (American Physical Society) · 13 pages, 15 figures, published version

openalex publication_date 2011/09/14 · arxiv created 2011/09/26 · arxiv updated 2011/09/27 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

Strongly correlated electrons with box disorder in high-dimensional lattices are investigated. We apply a statistical dynamical mean-field theory that treats local correlations nonperturbatively. The incorporation of a finite lattice connectivity allows for the detection of disorder-induced localization via the probability distribution function of the local density of states. We obtain a complete paramagnetic ground-state phase diagram and find correlation-induced as well as disorder-induced metal-insulator transitions. Our results qualitatively confirm predictions obtained by typical medium theory. Moreover, we find that the probability distribution function of the local density of states in the metallic phase strongly deviates from a log-normal distribution as found for the noninteracting case.

Citations

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