Anomalous Hall effect in 2$H$-phase transition-metal dichalcogenide monolayers on ferromagnetic substrates

Abstract

We study the anomalous Hall effect in monolayers of transition-metal dichalcogenides 2H-$M{X}_2$ ($M$=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 $K^{\prime }$ 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.

8 pages, 8 figures

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