Measurement of the optical dielectric function of monolayer transition-metal dichalcogenides:MoS2,MoSe2,WS2, andWSe2

We report a determination of the complex in-plane dielectric function of monolayers of four transition-metal dichalcogenides: $\mathrm{Mo}{\mathrm{S}}_{2}$, $\mathrm{Mo}\mathrm{S}{\mathrm{e}}_{2}$, $\mathrm{W}{\mathrm{S}}_{2}$, and $\mathrm{WS}{\mathrm{e}}_{2}$, for photon energies from 1.5 to 3 eV. The results were obtained from reflection spectra using a Kramers-Kronig constrained variational analysis. From the dielectric functions, we obtain the absolute absorbance of the monolayers. We also provide a comparison of the dielectric function for the monolayers with the corresponding bulk materials.