We present a calculation of the Zeeman splitting of the light-and heav
y-hole excitons that takes into account the uniaxial strain due to lat
tice mismatch as well as the interface-enhanced paramagnetism. In the
CdTe quantum well, the strain raises the light-hole band edge with res
pect to the heavy-hole one. The shallower well allows a larger penetra
tion of the Cd1-xMnxTe barrier region by the light hole. This adds to
the effect of the lighter effective mass, leading to an ''anomalous''
enhancement of the Zeeman splitting of the light-hole exciton. We find
that the ratio of the light-to heavy-hole exciton splitting (between
the sigma(-) and sigma(+) components) increases with the quantum well
width eventually exceeding unity, in agreement with experimental data.
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