We theoretically study the spin Hall effect in a simple tight-binding model of the stacked kagome Weyl semimetal ${\mathrm{Co}}_3{\mathrm{Sn}}_2{\mathrm{S}}_2$ with ferromagnetic ordering. We focus on the two types of spin Hall current: one flowing in the in-plane direction with respect to the kagome lattice (in-plane spin Hall current), and the other flowing in the stacking direction (out-of-plane spin Hall current). We show that the spin Hall conductivities for those spin currents drastically change depending on the direction of the magnetic moment. In particular, the out-of-plane spin Hall current may induce surface spin accumulations, which are useful for magnetization switching via spin-orbit torque.

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• Anomalous Hall effect
• Ferromagnetism
• Spin Hall effect
• Spintronics
• Dirac semimetal
• Kagome lattice
• Weyl semimetal
• Tight-binding model