ANDERSON MODEL - LATTICE EFFECTS IN HIGH DIMENSIONS

The periodic Anderson model with infinite Coulomb interaction U on a D -dimensional lattice is studied by mapping the lattice problem onto an impurity model with a self-consistency condition, using a systematic 1/D-expansion. The mapping becomes exact in the limit of infinite dime nsion. The remaining impurity model with a renormalized band is invest igated within the self-consistent perturbation expansion in the hybrid ization V. For low temperatures the imaginary part of the f-electron s elf-energy vanishes quadratically at the Fermi level and thus provides the expected Fermi-liquid behavior.