Nature 536, 159–164 (2016); doi:10.1038/nature19078

In the Abstract of this Letter, “upper limit of the relaxation time” was, in the course of condensing the text, misleadingly shortened to “upper limit”. In addition, in the Supplementary Information (on page 20) “Ag+ transport is not possible” should have read “Ag transport is not possible”. Also in the Supplementary Information (page 26), the sentence “The chemical resistance … are required” was fragmented. It should have read: “The chemical resistance (Rδ ) determining the steady-state flux at the given driving force is the simpler quantity and is determined by , expressing the fact that both non-zero ionic (σion) and electronic (σeon) conductivities are required”. These errors have been corrected online.