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Inspired by the profound physical connotations and potential applicationprospects of the valleytronics, we design a two-dimensional (2D) WS2/h-VNmagnetic van der Waals (vdW) heterostructure and study the control of valleydegree of freedom through the first-principles calculations. A considerablespin splitting of 627 meV is obtained at the K valley, accompanied with astrong suppression of that at the K' valley. An intrinsic large valleysplitting of 376 meV is generated in the valence band, which corresponds to aneffective Zeeman magnetic field of 2703 T. Besides of the valence band, theconduction band of WS2 possesses a remarkable spin splitting also, and valleylabelled dark exciton states are present at the K' valley. The strengths ofspin and valley splitting relied on the interfacial orbital hybridization arefurther tuned continually by the in-plane strain and interlayer spacing.Maximum spin and valley splitting of 654 and 412 meV are finally achieved,respectively, and the effective Zeeman magnetic field can be enhanced to 2989Twith a -3 % strain. Time-reversal symmetry breaking and the sizable Berrycurvature in the heterostructure lead to a prominent anomalous Hallconductivity at the K and K' valleys. Based on these finding, a prototypefilter device for both the valley and spin is proposed.

Large and Controllable Spin-Valley Splitting in Two-Dimensional WS2/h-VN Heterostructure