Critical Study of the Anderson Impurity and the Anderson Lattice

Abstract

We study critically the properties of the infinite- U degenerate impurity Anderson model and lattice Anderson model using the bosonic technique with the help of the Feynman diagrammatic expansion developed earlier by P. Coleman. We investigate their thermal and/or dynamical properties over the whole temperature range employing the expansion in power of the inverse of the spin-orbit degeneracy. In the impurity model, the most and the next dominant terms in the expansion turn out to describe the low and the high temperature behaviors correctly. As regards the lattice model we calculate the life time of the conduction electrons and find that all the terms to the third dominant order must be taken into account to describe both of the Fermi-liquid behavior at low temperature and the Kondo-impurity-type behavior at high temperature correctly.