Hall effect in disordered metals with strong short range order

Abstract

A rigorous formula for the Hall conductivity of one electron Hamiltonian is derived and applied to disordered metals with short range order. The formula is written in the form which is dependent only on the electronic states at the Fermi energy. This clearly shows that the Hall coefficient is generally a Fermi — surface property; the fact casts light on the interpretation of the experimental data by Häussler and Baumann 1. It is however different from the one obtained by Morgan et. al. 2, although the former contains the terms in the latter. The Edwards' theory is then applied to take account of the short range order in liquid or amorphous metals. The expression obtained is found to be equivalent to the extension of the earlier work by Fukuyama et. al. 3 to include the “dispersive” contributions to the conduction under a magnetic field.