Abstract

AbstractThe existence of surface energy states of electrons in solids has been proved by Heine by matching the wave functions at the boundary plane. Starting from this general theory, we calculate the surface energy bands in three‐dimensional crystals with one atom per unit cell. Not only a semi‐infinite lattice but also a three‐dimensional crystal slab is considered. The method developed in this paper is a generalization of the Green's function method of Kohn and Rostoker for calculating the energy bands in infinitely extended crystals.

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