A theory of electrical conductivity in metallic glasses

In this paper is presented a phenomenological theory of electrical conductivity in metallic glasses based on the method of so-called modified relaxation time (till now applied to semi-conductive glasses only). The essential difference consists of a consistent use of Fermi-Dirac statistics because of the degeneracy of electron gas. The results that this theory yields obviously elucidate the existence of both positive and negative values of the resistivity coefficient in metallic glasses and lead to the conclusion that the minimum in the temperature dependence of electrical conductivity may not be necessarily related to the so-called Kondo effect. This is a simple consequence of the interaction between positive (metallic) and negative (semiconducting) contributions to the electrical conductivity which appears in the metallic glasses due to disorder.