Identifying topological superconductivity in two-dimensional transition-metal dichalcogenides

We study the superconducting pairing instabilities and gap functions for prototypical two-dimensional (2D) transition-metal dichalcogenides (TMDCs) WS$_2$, MoTe$_2$, MoS$_2$ in 2H phase under both hole electron doping at 10 K. Our first-principles quantum many-body Green's function approach allows us to treat full $d$ $p$ manifold of orbitals with strong spin-orbit coupling, yielding predictions material specific detail. The resulting exhibit a variety mixed-parity states, including $s$, $p$, $d$, $f$, $d\pm id$, $p\pm ip$ modes. In particular, we predict 3% 4% hole-doped WS$_2$ be chiral topological superconductor. For 1% MoS$_2$, find competition between three doubly degenerate non-chiral instabilities. Overall, relative strengths are found follow Fermi surface topology, due nesting sheets. Finally, discuss our relation available experimental data classify topology predicted symmetries.