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Published April 1, 1993 | Published
Journal Article Open

Tight-binding approximation for semi-infinite solids. Application of a transform method and of delta function normalization

Abstract

A transform method for treating semi‐infinite solids in the tight‐binding (TB) approximation is introduced. The difference equations for the TB orbital coefficients are converted, thereby, to convenient algebraic equations. For this purpose, a Dirac delta function normalization for the wave function is also introduced, instead of the usual box one. Single and coupled bands are treated, and the methods are applied elsewhere to electron transfer problems at interfaces.

Additional Information

© 1993 American Institute of Physics. Received 9 September 1992; accepted 27 November 1992. It is a pleasure to acknowledge the Office of Naval Research and the National Science Foundation for their support of this research.

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