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First-principles total-energy and electronic-structure calculations for SiₙGeₙ superlattices grown epitaxially on an (001) Si substrate reveal a nearly direct band gap despite the pronounced indirectness of its constituents. Whereas the lowest conduction-band wave function extends over both Si and Ge sublattices, the (higher energy) lowest direct state shows strong confinement to Si states. We predict that a substrate with a larger lattice constant than Si will produce a nearly direct band-gap superlattice (indirect only by 0.01 eV).
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Froyen et al. (1987) studied this question.
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