SELF-CONSISTENT TREATMENT OF CRYSTAL-ELECTRIC-FIELD-LEVELS IN THE ANDERSON LATTICE

We consider an Anderson lattice model with a spin 1/2 degenerated cond uction electron band and localized ionic CEF-levels, classified accord ing to the irreducible representation of the point group of the lattic e. We present the self-consistency equations for local approximations (''d --> infinity'' approximation) for the periodic Anderson model. It leads to a matrix formulation of the effective local density of state s and the lattice f-Green's function. We derive the quasi-particle lif e-time which enters the Boltzmann transport equations. The impact of a k-dependent hybridization is discussed. We prove that vertex correcti ons will vanish, as long as all states of an irreducible representatio n couple to the conduction electron band with a hybridization matrix e lement of the same parity.