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We have investigated the valley degeneracy of MoS2 multilayers and its effecton thermoelectric properties. By modulating the layer thickness and externalelectric field, the hole valleys at {\Gamma} and K points in the highest energyvalence band and the electron valleys at K and {\Sigma}min points in the lowestenergy conduction band are shifted differently. The hole valley degeneracy isobserved in MoS2 monolayer, while that of electron valley is in MoS2 bilayerand monolayer under the external electric field. By tuning the valleydegeneracy, the Seebeck coefficient and electrical conductivity can beseparately controlled, and the maximum power factor can be obtained in n-type(p-type) MoS2 monolayer with (without) the external electric field. We suggestthat the transition metal dichalcogenides are good example to investigate therole of valley degeneracy in the thermoelectric and optical properties with thecontrol of interlayer interaction and external electric field strength.

Control of Valley Degeneracy in MoS2 by Layer Thickness and Electric Field and Its Effect on Thermoelectric Properties