Chiral Phonon mediated Superconductivity in Transition Metal Dichalcogenides

Phonons at the Dirac points in an inversion broken honeycomb lattice can carry non-zero angular

momentum per valley, referred to as chiral phonons. Chiral phonons’ coupling to the electron spin

results in an effective spin-orbit type interaction, with the phonon’s orbital angular momentum op-

erator. Unlike the Fr¨ohlich phonon-electron coupling, the chiral phonon-electron coupling involves

two phonon processes that can induce an effective Hubbard interaction. We will discuss the possi-

bility of chiral-electron phonon-mediated unconventional superconducting order in transition metal

dichalcogenides.