Py. Yu et al., PROBING OPTICAL-PHONON PROPAGATION IN GAAS ALXGA1-XAS QUANTUM-WELL SAMPLES VIA THEIR NONEQUILIBRIUM POPULATION/, Physical review. B, Condensed matter, 54(15), 1996, pp. 10742-10750
We develop a theoretical model to analyze a nonequilibrium optical- (L
O-) phonon population by Raman scattering in GaAs/AlxGa1-xAs quantum w
ebs. With the assumption of bulklike hot-electron relaxation, the effe
ct of LO-phonon confinement on a nonequilibrium optical-phonon populat
ion (NOP) is isolated. Our analysis shows that the decrease in spatial
extent or coherence length of LO phonons is reflected by a decrease i
n NOP. This is because the contributions from large q wave vectors wit
h small occupation numbers dominate as the spatial extent decreases. O
ur method is applied to explain picosecond Raman-scattering experiment
s on GaAs/AlxGa1-xAs. The increasing NOP with decreasing x is interpre
ted as the result of an increase in the coherence length of LO phonons
, since for smaller x, the AlxGa1-xAs barrier is no longer effective i
n localizing GaAs LO phonons within the well. Using this model, we als
o deduce coherence length of LO phonons as a function of x. Our result
s show that for values of x between 0.2 and 0.4, the GaAs LO phonon in
GaAs/AlxGa1-xAs quantum wells changes from a bulklike propagating mod
e to one localized within the wells.