Authors: K. Byczuk
Journal:
Condensed Matter Physics in the Prime of the 21st Century: Phenomena,
Materials, Ideas, Methods, ed. by Janusz Jedrzejewski, 1-33
(World Scientific, 2008)
Dynamical mean-field theory (DMFT) is a successful method to investigate interacting lattice fermions. In these lecture notes we present an introduction into the DMFT for lattice fermions with interaction, disorder and external inhomogeneous potentials. This formulation is applicable to electrons in solids and to cold fermionic atoms in optical lattices. We review here our investigations of the Mott-Hubbard and Anderson metal-insulator transitions in correlated, disordered systems by presenting selected surprising results.