Spin Hall effect of excitons

Abstract

Spin Hall effect for excitons in alkali halides and in ${\text{Cu}}_{2}\text{O}$ is investigated theoretically. In both systems, the spin Hall effect results from the Berry curvature in $k$ space, which becomes nonzero due to lifting of degeneracies of the exciton states by exchange coupling. The trajectory of the excitons can be directly seen as spatial dependence of the circularly polarized light emitted from the excitons. It enables us to observe the spin Hall effect directly in the real-space time.