  Significant progress has been made in recent studies of thermal and
thermoelectric transport phenomena in nanostructures and low-dimensional
systems. This article reviews several intriguing quantum and classical size
effects on thermal and thermoelectric properties that have been predicted by
theoretical calculations or observed in experiments. Attention is focused on
the Casimir limit in phonon boundary scattering and the effect of phonon
confinement on the lattice thermal conductivity of semiconductor nanowires
(NWs) and nanomeshes; the effects of thickness, lateral size, and interface
interaction on the lattice thermal conductivity of carbon nanotubes (CNTs) and
graphene; and the phonon-drag thermopower and quantum size effects on the
thermoelectric power factor in semiconductor NWs. Further experimental and
theoretical investigations are suggested for better understanding of some of
these nanoscale transport phenomena.
