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Molybdenum disulfide (MoS$_2$) is a promising material for makingtwo-dimensional crystals and flexible electronic and optoelectronic devices atthe nanoscale. MoS$_2$ flakes can show high mobilities and have even beenintegrated in nanocircuits . A fundamental requirement for such use isefficient thermal transport. Electronic transport generates heat which needs tobe evacuated, more crucially so in nanostructures. Anharmonic phonon-phononscattering is the dominant intrinsic limitation to thermal transport ininsulators. Here, using appropriate samples, ultra-low energy Ramanspectroscopy and first principles calculations, we provide a full experimentaland theoretical description of compression and shear modes of few-layer (FL)MoS$_2$. We demonstrate that the compression modes are strongly anharmonic witha marked enhancement of phonon-phonon scattering as the number of layers isreduced, most likely a general feature of nanolayered materials with weakinterlayer coupling.

Anharmonic phonons in few layer MoS$_2$: Raman spectroscopy of ultra low energy compression and shear modes