We show that by investigating the exciton magnetoluminescence of type
II GaAs/AlAs superlattices one can establish the nature of the additio
nal exchange splitting, observed experimentally in such superlattices.
This splitting is attributed to the symmetry reduction from D-2d to C
-2v. At present, there are two alternative models, explaining this phe
nomenon. One model assumes that the symmetry is reduced in the GaAs le
vers, for example, due to presence of local deformations, which lead t
o the mixing of the heavy hole (hh) and light hole (lh) states. In the
other model the similar hh-lh mixing was attributed to the effect of
heterointerfaces, which have symmetry, lower than the structure itself
. In this model the exchange splitting appears only if the exciton is
localised near one GaAs/AlAs interface. Both models predict the existe
nce of the two kinds of the excitons in nearly equal amounts, with spl
itting of the same magnitude but different sign. We have shown that th
e splitting of the excitonic states in a magnetic field, parallel to t
he plane of the superlattice, is very different in both models. As a r
esult of the additional exchange splitting, the luminescence under the
excitation, polarized along the directions (100) or (010), is non-pol
arized. However, the polarization of the luminescence reappears at cer
tain values of the magnetic field, when the energies of two excitonic
states became equal. We show that determination of those values allows
one to choose between the two models.