  In a multilayer comprising ferromagnet and heavy metal, in-plane carrier spin
is induced by applied electric current owing to Rashba spin-orbit coupling,
while the out-of-plane component is absent. We propose the out-of-plane carrier
spin can emerge in ferromagnetic transition-metal dichalcogenides monolayer, by
symmetry arguments and first-principles calculations. An intrinsic spin-orbit
coupling in the monolayer provides valley-contrasting Zeeman-type spin
splitting for generating the vertical induced spin. The current direction can
be exploited to tune the induced spin, accompanied with valley polarization.
The exotic spin accumulation paves an accessible way for perpendicular
magnetization switching and electric control of valleys.
