Measurement of the optical dielectric function of monolayer transition-metal dichalcogenides: MoS 2 , Mo S e 2 , WS 2 , and WS e 2

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.

• NS
  National Science Foundation

  Awards: DMR-1124894, DMR-1122594
• UD
  U.S. Department of Energy

  Award: DE-SC0001085