FAIRmat is creating a federated data infrastructure for materials data from the field of condensed-matter physics and the chemical physics of solids, with the aim of making materials data Findable, Accessible, Interoperable and Re-purposable (FAIR). Pursuing a user-driven approach, FAIRmat integrates data obtained from synthesis, experimental characterization, theory & computations, and various applications. FAIRmat operates the NOMAD Laboratory, which offers cutting-edge tools for collecting, storing, presenting, and analyzing materials-science data. FAIRmat is funded as a consortium of the German Research-Data Infrastructure NFDI.