Abstract

A theory for surface segregation is presented on the assumption that the electronic contribution to the free energy plays the dominant role to determine the alloy composition near the surface. The electronic energy is calculated on the basis of the tight-binding model. The presence of the surface, the alloy disorder and the random potentials due to the surface segregation are treated by using an extension of the coherent potential approximation for a bulk alloy to a semi-infinite case. The alloy composition on each layer is self-consistently determind so as to give the minimum of the total free energy. For the purpose of investigating essential factors determining the segregation, the formulation is applied to the (001) surface of simple cubic crystal and the numerical results are presented.

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