The quantum size effect of exciton transitions is investigated experimental
ly and theoretically for self-organized InAs/GaAs quantum dots (QD's). Phot
oluminescence excitation (PLE) experiments are reported for a series of sam
ples with QD's varying in average size, revealing size-dependent excitation
resonances. Temperature-dependent measurements show that the PLE spectra m
irror the absorption spectra of QD's with a certain ground state transition
energy. The observed PLE resonances are identified based on their energy,
relative intensity, and sensitivity to size variations in comparison to res
ults of eight-band k.p calculations for pyramidal InAs/GaAs QD's with {101}
side facets. Band mixing, strain, and the particular geometry of the three
-dimensional confinement lead to a rich fine structure with a variety of ''
forbidden'' excitonic transitions. A good agreement between experiment and
theory is found for large QD's (E(det)less than or similar to1.1 eV), where
as the agreement becomes worse for smaller QD's. The discrepancies arise, m
ost likely, from the uncertainties in the size- and growth-dependent variat
ions of the QD shape and composition as well as Coulomb-induced localized w
etting layer states.