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Monolayer transition metal dichalcogenides (TMDs) host deeply bound excitonsinteracting with itinerant electrons, and as such they represent an excitingnew quantum many-body Bose-Fermi mixture. Here, we demonstrate that electronsinteracting with a Bose-Einstein condensate (BEC) of exciton-polaritons canrealise a two-dimensional topological $p_x+ip_y$ superconductor. Using strongcoupling Eliashberg theory, we show that this is caused by an attractiveinteraction mediated by the BEC, which overcompensates the repulsive Coulombinteraction between the electrons. The hybrid light-matter nature of the BEC iscrucial for achieving this, since it can be used to reduce retardation effectsand increase the mediated interaction in regimes important for pairing. Wefinally show how the great flexibility of TMDs allows one to tune the criticaltemperature of the topological superconducting phase to be within experimentalreach.

Light-induced topological superconductivity in transition metal dichalcogenide monolayers