Longitudinal and spin-valley Hall optical conductivity in single layer MoS2

A monolayer of MoS2 has a noncentrosymmetric crystal structure, with spin-polarized bands. It is a two-valley semiconductor with the direct gap falling in the visible range of the electromagnetic spectrum. Its optical properties are of particular interest in relation to valleytronics and possible device applications. We study the longitudinal and the transverse Hall dynamical conductivity which is decomposed into charge, spin, and valley contributions. The circular polarized light associated with each of the two valleys separately is considered and results are filtered according to spin polarization. Temperature can greatly change the spin admixture seen in the frequency window where they are not closely in balance.