Proximity-induced superconductivity in transition metal dichalcogenides

In this work we study the proximity induced superconductivity in a monolayer of the transition metal MoS$_2$ placed on top of a superconducting substrate. We investigate the symmetries of the proximity-induced superconducting pairing amplitude and we find that superconducting substrates with spin-orbit coupling can induce odd-frequency pairing in the MoS$_2$ monolayer. We discuss the relevant experimental signatures of the proximity-induced superconducting phase in the MoS$_2$ monolayer.