Real-time -BSE investigations on spin-valley exciton dynamics in monolayer transition metal dichalcogenide.

We develop an ab initio nonadiabatic molecular dynamics (NAMD) method based on plus real-time Bethe-Salpeter equation ( + rtBSE-NAMD) for the spin-resolved exciton dynamics. From investigations on MoS, we provide a comprehensive picture of spin-valley exciton dynamics where the electron-phonon (e-ph) scattering, spin-orbit interaction (SOI), and electron-hole (e-h) interactions come into play collectively. In particular, we provide a direct evidence that e-h exchange interaction plays a dominant role in the fast valley depolarization within a few picoseconds, which is in excellent agreement with experiments. Moreover, there are bright-to-dark exciton transitions induced by e-ph scattering and SOI. Our study proves that e-h many-body effects are essential to understand the spin-valley exciton dynamics in transition metal dichalcogenides and the newly developed + rtBSE-NAMD method provides a powerful tool for exciton dynamics in extended systems with time, space, momentum, energy, and spin resolution.