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We propose a concept of non-collinear spin current, whose spin polarizationvaries in space even in non-magnetic crystals. While it is commonly assumedthat the spin polarization of the spin Hall current is uniform, asymmetriclocal crystal potential generally allows the spin polarization to benon-collinear in space. Based on microscopic considerations we demonstrate thatsuch non-collinear spin Hall currents can be observed for example in layeredKagome Mn$_3$X (X = Ge, Sn) compounds. Moreover, by referring to atomistic spindynamics simulations we show that non-collinear spin currents can be used toswitch the chiral spin texture of Mn$_3$X in a deterministic way even in theabsence of an external magnetic field. Our theoretical prediction can bereadily tested in experiments, which will open a novel route toward electriccontrol of complex spin structures in non-collinear antiferromagnets.

Non-Collinear Spin Current for Switching of Chiral Magnetic Textures