Low-temperature photoluminescence (PL) studies of InAs self-assembled
quantum dots (SAQD's) embedded in a GaAs matrix have been performed un
der hydrostatic pressure P up to 70 kbar. A strong blueshift of the PL
line from the SAQD's with P up to 53 kbar changes to a relatively sma
ll redshift at higher P. This is the fingerprint of a T-X crossover. A
bove the crossover pressure, we find experimental evidence for type-II
band alignment in the InAs SAQD/GaAs heterostructure system. This giv
es a reference point that allows us to determine independently the ene
rgies of the electron and hole levels in the QD.