Contribution to the Theory of the Surface Electronic States in the One-Electron Approximation
- 1 October 1957
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review B
- Vol. 108 (1) , 13-18
- https://doi.org/10.1103/physrev.108.13
Abstract
A formal treatment has been given of the surface states associated with a semi-infinite crystal. The treatment assumes that the surface states are produced by a potential which is a function only of the distance from the surface but is otherwise unspecified. A formal expansion is made in a complete set of Wannier orbitals, but the conclusions of the paper are based on the assumptions that (a) it is sufficient to use the orbitals of a single band, and (b) the tight-binding approximation is adequate for that band. Some theorems are given on the localization of Wannier orbitals, the localization of surface states, and the number of surface states for a given penetration of the surface potential.Keywords
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