We investigate the size and edge roughness dependence on thermal conductivity of monolayer MoS 2 (MLMoS 2 ) by phonon Boltzmann transport equation combined with relaxation time approximation. The relative contribution of spectral phonons to thermal conductivity is explored, and we compared the characteristics of phonon transport with those in single layer graphene (SLG), which is a representative two-dimensional material. Quite different from SLG, because of the ultra-short intrinsic phonon mean free path, the thermal conductivity of MLMoS 2 ribbons is size and roughness insensitive. The LA phonons have the major contribution to thermal conductivity of MLMoS 2 , and the ZA phonons in MLMoS 2 have high relative contribution to thermal conductivity. The relative contribution to thermal conductivity from both high frequency and low frequency phonons in MLMoS 2 is lower than that in SLG. The underlying mechanism of these distinct characteristics results from the different phonon dispersions and anharmonic characteristic between MLMoS 2 and SLG. Very recently, the thermal conductivity of monolayer MoS 2 (MLMoS 2 ), one of the most stable layered transition metal dichalcogenides (TMD), has attracted numerous interest.1-7 Unlike graphene, MLMoS 2 is a semiconductor with a large bandgap, and hence, MLMoS 2 is regarded as a promising candidate for field effect transistor and optoelectronics device applications. 8,9 In electronic and energy device applications, highly efficient heat dissipation is critical for the device reliability and performance. On the other side, the large Seebeck coefficient 10 suggests potential applications of 2D MoS 2 as thermal energy harvesting and thermoelectric cooling. In thermoelectric application, low thermal conductivity is preferred. Although high power factor is also observed in graphene, the ultra-high thermal conductivity of graphene 11 offsets its advantages and limits application of graphene as efficient 2D thermoelectric materials. In contrast to the superior thermal conductivity of graphene, 11-14 the thermal conductivity of MLMoS 2 is low, which has been presented by theoretical analysis 1-4 and experimental measurements.
7While a number of studies have been performed, the knowledge of thermal conductivity of MoS 2 is still not enough and largely obscure. For instance, systematic investigations on various effects on thermal conductivity of graphene have been done, including impacts of isotopic doping, folding, grain boundary, vacancy, defects, surface functionalization, etc.14 In monolayer 2D sheet, there are three acoustic phonon polarization branches, which are transverseacoustic (TA), longitudinal-acoustic (LA), and out-of-plane acoustic (ZA) phonons. The frequency dependent contribution of different acoustic phonon modes to thermal conductivity of graphene has been widely addressed.12-14 The phonon mean free path (MFP) and the relative contribution of spectral phonons to thermal conductivity are crucial towards understanding and engineering the thermal conductivity of nanostru...