High-intensity photoluminescence data on GaAs/AlAs superlattices and m
ulti-quantum wells of type-II at low temperature are reported. The var
iation with density of the renormalized band gap reveals the competiti
on between the Hartree energy, a consequence of non-local neutrality,
which tends to open the gap and the many-body effects (mainly exchange
). Preliminary analysis for a lot of samples with widely different per
iods provides a satisfactory fit with the Hartree-Fock model. The kine
tics of luminescence and total decay in the electron hole plasma regim
e is measured. In some samples, a phase transition is observed which i
s tentatively interpreted in terms of the electron hole liquid condens
ation.