Optical valley Hall effect based on transitional metal dichalcogenide cavity polaritons

We calculate the dispersion of spinor exciton-polaritons in a planar microcavity with its active region containing a single transitional metal dichalcogenide monolayer, taking into account excitonic and photonic spin-orbit coupling. We consider the radial propagation of polaritons in the presence of disorder. We show that the reduction of the disorder scattering induced by the formation of polariton states allows us to observe an optical valley Hall effect, namely the coherent precession of the locked valley and polarization pseudospins leading to the formation of spatial valley-polarized domains.