Electrical Resistance Due to Nonmagnetic Localized State in Dilute Alloys

Abstract

The electrical resistance due to a nonmagnetic localized state is examined in order to determine the possibility of observing a resistance minimum even when there is no local moment on an impurity. While Anderson's $s-d$ mixing model is adopted to describe the impurity state in the metal, we go beyond the simple Hartree-Fock approximation. The lifetime of the conduction electrons at the Fermi surface is calculated by means of the double-time Green's function method, and the resulting electrical resistance is shown to have a maximum at a certain temperature. When this temperature is in a favorable region we may observe the resistance maximum as well as the minimum. The occurrence of a local moment is also discussed from our calculation of the lifetime of conduction electrons and it is associated with an instability of the system. A new criterion for the occurrence of a local moment is obtained which appears to be in accord with experiments.