Abstract
The relation between the discrete Surface Green's Function Matching approach of Garcia-Moliner and Velasco (Physica Scripta 34, 257 (1986)) and atom-removal or ideal construction approaches is clarified. Both approaches are shown to give identical results for an "ideal" surface in the tight-binding approximation. Here "ideal" is defined by the condition that the Hamiltonian matrix elements in the crystal fragment keep their bulk values.
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