Theory of Low-Temperature Resistance Anomalies in Dilute Alloys

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Abstract
By means of a generalization of the Wick contraction procedure to the case of a localized spin, it is shown that the perturbation series for scattering of a conduction electron at zero temperature on a localized magnetic impurity in a metal may be generally resummed so as to express it in terms of the solution of a Slater-Koster model with a spin-dependent and strongly energy-dependent effective potential. A perturbation expansion of the effective potential provides a systematic approximation to the scattering cross section which does not suffer from the divergence found by Kondo. The results of computations of resistivity and thermopower based on this perturbation approximation and using a simple model for the conduction-electron density of states are reported, leading to a possible interpretation of the resistance anomaly in rhodiumbased alloys.