One-dimensional model for transition metals and their alloys

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Abstract
We develop the one-dimensional analogs of multiple-scattering theory and Korringa-Kohn-Rostoker band theory. The muffin-tin coherent-potential approximation turns out to be quite simple in one dimension when written in terms of the logarithmic derivatives of the radial Schrödinger equation. We develop a one-dimensional model for transition metals which includes the effects of hybridization and resonant scattering. Using this model we calculate the change in the density of states owing to the addition of a single impurity. A number of surprising effects which are outside the realm of tight-binding models and which seem to have three-dimensional analogs are observed.