Manipulating spin-orbit coupled electrons in MoS2

Using group theory, we derive the invariant expansion for the effective Hamiltonian of the electron states near the $K$ points of monolayer MoS$_2$. Our approach fully includes both spin-orbit coupling and the effect of perturbations such as external (or built-in) electric and magnetic fields and strain. It provides a systematic strategy for manipulating the spin-orbit coupled electron dynamics in MoS$_2$ and other transition metal dichalcogenides.