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

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

1994-07-05

arxiv.org/abs/cond-mat/9407020v1

Physics

Condensed Matter

7 pages in REVTeX 3.0. 1 Figure on request to F. D-A (fimat02@emducms1.sis.ucm.es). FM-UCM-32

Scientific paper

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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