Biexcitons localized in ultrathin CdS/ZnS single quantum wells with fluctua
ting well thicknesses are investigated by two-photon absorption and single-
exciton spectroscopy. For the binding energy of the confined biexciton, a v
alue of Delta E-B=38 meV is determined. Comparing Delta E-B with the CdS bu
lk exciton binding energy E-Ryd=28 meV, the largest known ratio Delta E-B/E
RRyd=1.4 is found. Additionally, a strong enhancement of exchange splitting
effects is observed resulting in a linearly polarized exciton doubler and
a single, linearly polarized biexciton line.