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First-principles total-energy and electronic-structure calculations for Si₍Ge₍ 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).
Froyen et al. (Tue,) studied this question.