The localization of longitudinal optical phonons in GaAs/AlAs lateral
superlattices and quantum wires grown on faceted GaAs (311)A surfaces
are investigated by means of Raman scattering spectroscopy. The freque
ncies of the localized phonons are found to decrease as the average th
ickness of the GaAs layer is decreased from 21 to 15 Angstrom. As the
GaAs thickness is decreased further to 11.3 and 8.5 Angstrom, the freq
uencies of the localized phonons increases sharply in connection with
the formation of an array of quantum wires. The frequencies calculated
in a two-dimensional chain model agree with the experimental values.
This makes it possible to interpret the increase in the frequencies of
localized phonon states as being the result of the quantization of ph
onons in the array of one-dimensional objects. The results obtained su
pport the model of GaAs (311)A surface faceting with a facet height of
10.2 Angstrom. (C) 1996 American Institute of Physics.