We
report on the lifetimes of zone-center longitudinal phonon modes in
GaAs/AlAs superlattices with varying period thicknesses. By measuring
the lifetimes at 78 K and room temperature, we separate the contributions
of intrinsic and extrinsic contributions to the lifetime of a 223
GHz longitudinal phonon mode in a 12 nm × 12 nm period superlattice.
The intrinsic lifetime that is determined by phonon–phonon
scattering of the 223 GHz mode falls in a transition region between
the Akhiezer relaxation and the anharmonic three-phonon scattering
regimes. While the lifetime of the 223 GHz mode has contributions
from both intrinsic and extrinsic processes at room temperature for
the 12 nm × 12 nm period superlattice, lifetimes of phonon modes
at 376 and 737 GHz for the 6 nm × 6 nm and 3 nm × 3 nm superlattices,
respectively, are dominated by extrinsic contributions. This suggests
that in thin period GaAs/AlAs superlattices the lifetimes of subterahertz
acoustic phonons that could contribute substantially to the total
thermal conductivity of the superlattices are mainly determined from
extrinsic rather than phonon–phonon scattering processes. Along
with lifetime measurements, we also report on the thermal conductivity
of GaAs/AlAs superlattices with periods ranging from 12 nm ×
12 nm to 1 nm × 1 nm, from 78 to 300 K as measured by time domain
thermoreflectance. For all structures, thermal conductivities are
independent of temperature and show a monotonic decrease in thermal
conductivity with decreasing period thicknesses for the entire temperature
range studied in this work, which suggests that scattering of vibrations
at the internal boundaries rather than the sample boundaries dictates
the overall thermal transport across these superlattices.