  We demonstrate a substrate-supported thermometry platform to measure thermal
conduction in nanomaterials like graphene, with no need to suspend them. We use
three-dimensional simulations and careful uncertainty analysis to optimize the
platform geometry and to obtain the sample thermal conductivity. The lowest
thermal sheet conductance that can be sensed with <50% error is ~25 nW/K at
room temperature, indicating applicability of this platform to graphene or
polymer thin films, nanotube or nanowire arrays, even a single Si nanowire. The
platform can also be extended to plastic substrates, and could find wide
applicability in circumstances where fabrication challenges and low yield
associated with suspended platforms must be avoided.
