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When the spin-orbit coupling (SOC) is absent, almost all the proposedhalf-metals with the twofold degenerate nodal points at the K (or K') intwo-dimensional (2D) materials are misclassified as "Dirac half-metals" owingto the way graphene was utilized in the earliest studies. Actually, each bandcrossing point at K or K' is described by a 2D Weyl Hamiltonian with definitechirality; hence, it must be a Weyl point. To the best of our knowledge, therehave been no reports of a genuine (i.e., fourfold degenerate) Dirac pointhalf-metal in 2D yet. In this Letter, we proposed for the first time that the2D d0-type ferromagnet Mg4N4 is a genuine Dirac half-metal with a fourfolddegenerate Dirac point at the S high-symmetry point, intrinsic magnetism, highCurie temperature, 100% spin-polarization, robustness to the SOC and uniaxialand biaxial strains, and 100% spin-polarized edge states. The work can be seenas a starting point for future predictions of intrinsically magnetic materialswith genuine Dirac points, which will aid the frontier of topo-spintronicsresearchers.

Genuine Dirac half-metal: A 2D d0-type ferromagnet Mg4N4