Anomalous Hall effect in 2H-phase MX2 transition-metal dichalcogenide monolayers on ferromagnetic substrates (M = Mo, W, and X = S, Se, Te)
AbstractWe study the anomalous Hall effect in monolayers of transition-metal dichalcogenides 2H-MX2 (M = Mo, W, and X = S, Se, Te) under a proximity effect of ferromagnetic substrate. If a proximity-induced exchange field is introduced, the spin-polarized energy bands in K and K′ valleys are shifted in the opposite directions, and it causes the Hall effect by breaking time-reversal symmetry. The induced Hall effect is the most prominent in the valence band, which has a large intrinsic spin splitting. Moreover, we find that tilting the magnetization from the perpendicular direction gives rise to a sensitive change in the Hall conductivity only in the electron side, and it is attributed to the mixing of the Berry phase by the in-plane field in the nearly degenerate conduction bands.