Observation of the Crystal Hall Effect in a Collinear Antiferromagnet.

An electric current passing through a magnetic conductor can generate a dissipationless transversal current of topological Berry curvature origin. This anomalous Hall effect requires the breaking of spin-degeneracy of electronic bands, conventionally arising from a macroscopic moment in ferromagnets, or a non-collinear magnetic order in complex magnets. Here we report the experimental observation of a new anomalous Hall effect mechanism - the crystal Hall effect - in a system with the abundant collinear antiferromagnetic order. We detect a large crystal Hall conductivity of ~330 S/cm, consistent with our density functional theory calculations, by performing Hall measurements up to 50 T on high quality epilayers of RuO2. We demonstrate that this crystal Hall effect is an experimental manifestation of unconventional spin-splitting originating from a complex crystal structure in combination with collinear antiferromagnetism with zero net moment. This opens a previously unexplored chapter, associated with the new spin-splitting physics, of dissipationless transport and other quantum and topological phenomena in condensed matter.