Kondo Problem at Low Temperatures

Abstract

The equations of motion of a singlet combination of band and impurity electrons are decoupled in lowest random-phase approximation. A simple self-consistency prescription is proposed which is shown to have the remarkable property of leading to a low-temperature solution identical in form to Hamann's solution of the Nagaoka equations. This suggests that neglect of crossed diagrams of leading logarithmic order in Abrikosov's formulation does not necessarily spoil the qualitative physics of the problem.