Control of thermal conductivity with species mass in transition-metal dichalcogenides

Abstract

In this paper, we examine how the behaviour of the thermal conductivity of bulk and monolayer transition-metal dichalcogenides XY2 in their 2-H form can be controlled with different choices of cation and anion masses. We employ a semi-ab-initio approach, which combines first-principles phonon eigensolutions, the elastic anharmonic Hamiltonian for phonon-phonon interactions, a quasi-harmonic scheme for the temperature-dependent Grüneisen's constant, and a relaxation-time solution of the Boltzmann transport equation. Our results confirm an earlier finding [Gu and Yang, Appl. Phys. Lett. 105, 131903 (2014)] that the thermal conductivity of 2-H MoS2 is lower than that of 2-H WS2 contrary to what would be expected from the relative masses of Mo and W and the relative stiffnesses of both compounds. In addition to confirming this anomaly as a result of the larger acoustic optical gap of WS2 relative to that of MoS2, it is found that where one constituent species is fixed, more profound changes on the thermal conductivity occur for different anion masses than for different cation masses. We explain how these behaviours arise from the dispersion relations of each compound and the anharmonic interactions of phonon modes, and its connection with the relative masses of the constituent species. This finding provides useful insight into which 2-H dichalcogenides might be suitable for which thermal applications.