Spin and valley half-metal state in MoS2 monolayer

The MoS2 monolayer has recently drawn much attention since it has a composite honeycomb lattice structure and a much larger spin–orbital interaction compared with graphene. In this work, we explore theoretically the low-energy electron transport properties of a magnetized MoS2 where the uniform magnetization is assumed from the magnetic proximity effect. Based on a low-energy continuum model, we show that the system could be an ideal spin and/or valley half metal, which can be controlled by the magnetization as well as an external electric field influencing the energy gap. An anomalous Hall conductivity is found in the system but not quantized, and it is transformed from the intrinsic spin and valley Hall effect in the system with the help of magnetization.