Noncollinear antiferromagnets, such as Mn_{3}Sn and Mn_{3}Ir, were recently shown to be analogous to ferromagnets in that they have a large anomalous Hall effect. Here we show that these materials are similar to ferromagnets in another aspect: the charge current in these materials is spin polarized. In addition, we show that the same mechanism that leads to the spin-polarized current also leads to a transverse spin current, which has a distinct symmetry and origin from the conventional spin Hall effect. We illustrate the existence of the spin-polarized current and the transverse spin current by performing ab initio microscopic calculations and by analyzing the symmetry. We discuss possible applications of these novel spin currents, such as an antiferromagnetic metallic or tunneling junction.

Department of Condensed Matter Physics Weizmann Institute of Science 7610001 Rehovot Israel

Institute of Physics ASCR 162 53 Praha 6 Czech Republic

Leibniz Institute for Solid State and Materials Research 01069 Dresden Germany

Max Planck Institute for Chemical Physics of Solids 01187 Dresden Germany

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