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Mapping the thermal transport properties of materials at the nanoscale is ofcritical importance for optimizing heat conduction in nanoscale devices.Several methods to determine the thermal conductivity of materials have beendeveloped, most of them yielding an average value across the sample, therebydisregarding the role of local variations. Here, we present a method for thespatially-resolved assessment of the thermal conductivity of suspended grapheneby using a combination of confocal Raman thermometry and a finite-elementcalculations-based fitting procedure. We demonstrate the working principle ofour method by extracting the two-dimensional thermal conductivity map of onepristine suspended single-layer graphene sheet and one irradiated using heliumions. Our method paves the way for spatially resolving the thermal conductivityof other types of layered materials. This is particularly relevant for thedesign and engineering of nanoscale thermal circuits (e.g. thermal diodes).

Spatially mapping the thermal conductivity of graphene by an opto-thermal method