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Exact Solutions of Two-Band Models of Graded-Gap Superlattices

B. Mendez·F. Dominguez-Adame
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Abstract

We have theoretically investigated two-band models of graded-gap superlattices within the envelope-function approximation. Assuming that the gap varies linearly with spatial coordinate, we are able to find exact solutions of the corresponding Dirac-like equation describing the conduction- and valence-band envelope-functions. The dispersion relation inside allowed miniband of the superlattice may be expressed in terms of confluent hypergeometric functions in a closed form.

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B. Mendez, F. Dominguez-Adame. 1994-07-05. Exact Solutions of Two-Band Models of Graded-Gap Superlattices. https://doi.org/10.1002/pssb.2221840235

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