Correction to: Nature Physics https://doi.org/10.1038/s41567-018-0062-7, published online 2 March 2018.

In the version of this Review Article originally published, the affiliations of the authors J. Železný, P. Wadley and K. Olejník were incorrect and should have read: “J. Železný1,2, P. Wadley3, K. Olejník2. 1Max Planck Institute for Chemical Physics of Solids, Dresden, Germany. 2Institute of Physics, Academy of Sciences of the Czech Republic, Praha, Czech Republic. 3School of Physics and Astronomy, University of Nottingham, Nottingham, UK.” These have now been corrected in the online versions.