The electronic structure of periodically doped GaAs:Si systems has bee
n self-consistently calculated with a Hedin-Lundqvist local-density fu
nctional for exchange and correlation. The influence of the periodic s
pacing d, the areal impurity concentration N(d), and the spread of the
impurity distribution have been investigated. Miniband widths and gap
s, potential-well depths, and Fermi-level position have been studied b
etween d = 100 and 500 angstrom, thus following the transition from su
perlattice behavior to independent well regime. The results are used t
o interpret some observed photoluminescence spectra.