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A two-dimensional (2D) hetero-bilayer system consisting of MoS2 on WSe2,deposited on epitaxial graphene, is studied by scanning tunneling microscopyand spectroscopy at temperatures of 5 and 80 K. A moir\'e pattern is observed,arising from lattice mismatch of 3.7% between the MoS2 and WSe2. Significantenergy shifts are observed in tunneling spectra observed at the maxima of themoir\'e corrugation, as compared with spectra obtained at corrugation minima,consistent with prior work. Furthermore, at the minima of the moir\'ecorrugation, sharp peaks in the spectra at energies near the band edges areobserved, for spectra acquired at 5 K. The peaks correspond to discrete statesthat are confined within the moir\'e unit cells. Conductance mapping isemployed to reveal the detailed structure of the wave functions of the states.For measurements at 80 K, the sharp peaks in the spectra are absent, andconductance maps of the band edges reveal little structure.

Quantum-Confined Electronic States arising from Moir\'e Pattern of MoS2-WSe2 Hetero-bilayers