NON-FERMI-LIQUID STATES OF A MAGNETIC ION IN A METAL

A model of a local orbital coupled through repulsive interactions to b oth the hybridizing and the screening channels of a conduction band is solved by Wilson's renormalization group method. At particle-hole sym metry we find non-Fermi-liquid lines of critical points when the inter action in the screening channel is above a critical value. Away from p article-hole symmetry the system displays two stable Fermi-liquid fixe d points of different symmetries, separated by a non-Fermi-liquid quan tum critical point, in the mixed-valence regime. The behavior in the v icinity of this point is consistent with the marginal Fermi-liquid hyp othesis.