The radiative recombination of donor-acceptor pairs in a weakly doped
delta n-i-delta p-i semiconductor superlattice is detected in time res
olved photoluminescence experiments. At short times t less than or equ
al to 1 mu s, a narrow luminescence line of FWHM = 2.6 meV is measured
, which can be related to the width of the filled donor impurity band,
formed by mutual orbital overlap. For longer times, a Coulomb induced
broadening of the spectra up to FWHM = 6.5 meV is observed, accompani
ed by a strongly non-exponential decay of the integrated luminescence
intensity. The time-dependence of both the spectral width and intensit
y is in good agreement with a detailed Monte-Carlo simulation of the d
ynamical processes.