LAUSR

The valleytronic properties in monolayer $\mathrm{Mo}{\mathrm{S}}_{2}$ induced by the magnetic proximity effect of an antiferromagnetic CoO(111) substrate have been investigated using density functional theory and Berry curvature calculations. The results show that monolayer $\mathrm{Mo}{\mathrm{S}}_{2}$ can achieve a large valley splitting of 103 meV when coupled to an antiferromagnetic insulating CoO(111) substrate, which is in a robust type-II antiferromagnetic state at room temperature. The substrate provides a Zeeman field of 152 T. Breaking of the time-reversal symmetry of monolayer $\mathrm{Mo}{\mathrm{S}}_{2}$ leads to a prominent anomalous Hall conductivity that has a quantized character in the range of the band edge at the $K$ and ${K}^{\ensuremath{'}}$ valleys. Based on the result that the valley-contrasting Berry curvature is opposite at the $K$ and ${K}^{\ensuremath{'}}$ valleys, a valleytronic device that can be used as a filter for both the valley and spin is proposed.