  Half-antiperovskites (HAPs) are a class of materials consisting of stacked
kagome lattices and thus host exotic magnetic and electronic states. We perform
high-throughput calculations based on density functional theory (DFT) and
atomistic spin dynamics (ASD) simulations to predict stable magnetic HAPs
M$_3$X$_2$Z$_2$ (M = Cr, Mn, Fe, Co, and Ni; X is one of the elements from Li
to Bi except noble gases and 4$f$ rare-earth metals; Z = S, Se, and Te), with
both thermodynamical and mechanical stabilities evaluated. Additionally, the
magnetic ground states are obtained by utilizing DFT calculations combined with
the ASD simulations. The existing spin frustration in an AFM kagome lattice
manifests as competing behavior of the in-plane FM and AFM couplings. For a
total number of 930 HAP compositions considered, we have found 23 compounds
that are stabilized at non-collinear antiferromagnetic (AFM) state and 11
compounds that possess ferromagnetic (FM) order.
