Nanostructuring on length scales corresponding to phonon
mean free
paths provides control over heat flow in semiconductors and makes
it possible to engineer their thermal properties. However, the influence
of boundaries limits the validity of bulk models, while first-principles
calculations are too computationally expensive to model real devices.
Here we use extreme ultraviolet beams to study phonon transport dynamics
in a 3D nanostructured silicon metalattice with deep
nanoscale feature size and observe dramatically reduced thermal conductivity
relative to bulk. To explain this behavior, we develop a predictive
theory wherein thermal conduction separates into a geometric permeability component and an intrinsic viscous contribution, arising from a new and universal effect of nanoscale
confinement on phonon flow. Using experiments and atomistic simulations,
we show that our theory applies to a general set of highly confined
silicon nanosystems, from metalattices, nanomeshes, porous nanowires,
to nanowire networks, of great interest for next-generation energy-efficient
devices.