Topological superconductivity in monolayer transition metal dichalcogenides

Theoretically it has been known that splitting the spin degeneracy and forming pairs with the resulting 'spinless' fermions is a promising path to topological superconductivity. Yet, topological superconductors are still rare to date. Here we propose to lightly hole-dope monolayer transition metal dichalcogenides, a family of noncentrosymmetric multivalley semiconductors, to achieve momentum-split spinless fermions on their spin-valley locked Fermi pockets. Performing a renormalization group analysis, we found that this spin-valley locking together with repulsive interactions selectively favors two topological superconducting states: an inter-pocket paired state with Chern number 2 and an intra-pocket paired state with finite pair-momentum. Besides the intrinsic topological superconductivity driven by repulsion, I will also discuss the induced nematic superconductivity in hole-doped monolayer TMDs proximitized by a cuprate.