Manganese-rich Heusler compounds are attracting much interest in the context of spin transfer torque and rare-earth free hard magnets. Here we give a comprehensive overview of the magnetic properties of noncentrosymmetric cubic ${\mathrm{Mn}}_2$-based Heusler materials, which are characterized by an antiparallel coupling of magnetic moments on Mn atoms. Such a ferrimagnetic order leads to the emergence of new properties that are absent in ferromagnetic centrosymmetric Heusler structures. In terms of the band structure calculations, we explain the formation of this magnetic order and the Curie temperatures. This overview is intended to establish guidelines for a basic understanding of magnetism in ${\mathrm{Mn}}_2$-based Heusler compounds.

• Received 23 September 2014
• Revised 25 November 2014

DOI:https://doi.org/10.1103/PhysRevB.90.214420