Evaluation of some effective-medium theories for liquid and amorphous metals

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Abstract
We examine some recently proposed effective-medium theories for the electronic structure of strongly scattering liquid and amorphous metals. We employ a simple s-band tight-binding Hamiltonian and compare these theories with ‘‘exact’’ calculations on very large clusters. The Herglotz approximation proposed by Singh appears to be superior to the other recently proposed schemes, but does not do as well as the effective-medium approximation of Roth. Some recently reported approximations of Dagens are found to be unsatisfactory.