Kondo-like State in a Simple Model for Metallic Glasses

Abstract

A simple model is constructed for tunneling two-level systems interacting with conduction electrons in metallic glasses. The coupling constants do not commute in momentum space. Scaling theory shows a strong similarity with the antiferromagnetic Kondo effect, and it is shown that at low temperature a bound state is formed in which the motion of the tunneling atom and the angular dependence of the screening electron cloud verying in time are strongly correlated.