First-principles calculations of the electronic structure, magnetism, and structural stability of inverse Heusler compounds with the chemical formula $X_{2}YZ$ are presented and discussed with a goal of identifying compounds of interest for spintronics. Compounds for which the number of electrons per atom for $Y$ exceed that for $X$ and for which $X$ and $Y$ are each one of the $3d$ elements, Sc-Zn, and $Z$ is one of the group IIIA-VA elements: Al, Ga, In, Si, Ge, Sn, P, As, or Sb were considered. The formation energy per atom of each compound was calculated. By comparing our calculated formation energies to those calculated for phases in the inorganic crystal structure database of observed phases, we estimate that inverse Heuslers with formation energies within 0.052 eV/atom of the calculated convex hull are reasonably likely to be synthesizable in equilibrium. The observed trends in the formation energy and relative structural stability as the $X$, $Y$, and $Z$ elements vary are described. In addition to the Slater-Pauling gap after 12 states per formula unit in one of the spin channels, inverse Heusler phases often have gaps after 9 states or 14 states. We describe the origin and occurrence of these gaps. We identify 14 inverse Heusler semiconductors, 51 half-metals, and 50 near-half-metals with negative formation energy. In addition, our calculations predict 4 half-metals and 6 near-half-metals to lie close to the respective convex hull of stable phases, and thus may be experimentally realized under suitable synthesis conditions, resulting in potential candidates for future spintronics applications.

• Received 23 December 2017
• Revised 28 May 2018

DOI:https://doi.org/10.1103/PhysRevB.98.094410