Superdiffusive
thermal transport represents a unique phenomenon
in heat conduction, which is characterized by a size (L) dependence of thermal conductivity (κ) in the form of κ
∝ L
β with a constant β
between 0 and 1. Although superdiffusive thermal transport has been
theoretically predicted for SiGe alloys, direct experimental evidence
is still lacking. Here, we report on a systematic experimental study
of the thickness-dependent thermal conductivity of Si0.4Ge0.6 thin films grown by molecular beam epitaxy. The
cross-plane thermal conductivity of Si0.4Ge0.6 thin films spanning a thickness range from 20 to 1120 nm was measured
in the temperature range 120–320 K via a differential three-omega
method. Results show that the thermal conductivity follows a consistent
κ ∝ t
0.26 power law with
the film thickness (t) at different temperatures,
providing direct experimental evidence that alloy-scattering dominated
thermal transport in SiGe is superdiffusive.