On the single-site theory of electric conductivity in some disordered systems

Abstract

The Yonezawa diagrammatic method has been generalized in order to describe the electric conductivity both in compositionally disordered systems (substitution alloys) and translationally disordered systems with short-range correlations (liquid metals). Results equivalent to those by Velicky and Leath have been obtained in the case of substitutional alloys. A generalized resistivity formula has been derived for liquid metals with the approximation of a long mean free path of conducting electrons. In the case of weak scattering potential this formula can be reduced to the Ziman expression. This formula includes also, as an approximiation, the result of the Ashcroft-Schaich theory. An important role of the special expression of high-order atomic correlations in liquid metals by pair correlations is pointed out. New integral equations determining the pair correlation function in fluids are suggested on the basis of this expression.