Physics – Condensed Matter – Strongly Correlated Electrons
Scientific paper
2010-02-19
Chapter 20 in "50 Years of Anderson Localization", ed. E. Abrahams (World Scientific, Singapore, 2010), p. 473; reprinted in I
Physics
Condensed Matter
Strongly Correlated Electrons
25 pages, 5 figures, typos corrected, references updated
Scientific paper
We review recent progress in our theoretical understanding of strongly correlated fermion systems in the presence of disorder. Results were obtained by the application of a powerful nonperturbative approach, the Dynamical Mean-Field Theory (DMFT), to interacting disordered lattice fermions. In particular, we demonstrate that DMFT combined with geometric averaging over disorder can capture Anderson localization and Mott insulating phases on the level of one-particle correlation functions. Results are presented for the ground-state phase diagram of the Anderson-Hubbard model at half filling, both in the paramagnetic phase and in the presence of antiferromagnetic order. We find a new antiferromagnetic metal which is stabilized by disorder. Possible realizations of these quantum phases with ultracold fermions in optical lattices are discussed.
Byczuk Krzysztof
Hofstetter Walter
Vollhardt Dieter
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