English

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

Disordered Systems and Neural Networks 2011-09-27 v2 Strongly Correlated Electrons

Abstract

Strongly correlated electrons with box disorder in high-dimensional lattices are investigated. We apply the statistical dynamical mean-field theory, which treats local correlations non-perturbatively. 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 non-interacting case.

Keywords

Cite

@article{arxiv.1106.4028,
  title  = {Anderson-Hubbard model with box disorder: Statistical dynamical mean-field theory investigation},
  author = {Denis Semmler and Krzysztof Byczuk and Walter Hofstetter},
  journal= {arXiv preprint arXiv:1106.4028},
  year   = {2011}
}

Comments

13 pages, 15 figures, published version