Self-consistent calculations of electron and hole sub-band energies for an n-p superlattice in GaAs

Describes a plane-wave-based scheme for dealing with the superlattice and isolated quantum well problem in semiconductors within the envelope-function approximation and with the inclusion of a positional dependence of the effective mass. The plane-wave method is particularly well suited for performing self-consistent calculations. As a particular example the authors consider the problem of space-charge-induced superlattices in GaAs. Their calculations indicate that the effects of exchange interactions are small.