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We report on first-principles spin-polarised quantum transport calculations(from NEGF+DFT) in MgO-spaced magnetic tunnel junctions (MTJs) based on twodifferent Mn-based Heusler ferrimagnetic metals, namely Mn$_3$Al and Mn$_3$Gain their tetragonal DO$_{22}$ phase. The former is a fully compensatedhalf-metallic ferrimagnet, while the latter is a low-momenthigh-spin-polarisation ferrimagnet, both with a small lattice mismatch fromMgO. In identical symmetric and asymmetric interface reconstructions across a3-monolayer thick MgO barrier for both ferrimagets, the linear response(low-voltage) spin-transfer torque (STT) and tunneling magneto-resistance (TMR)effects are evaluated. A larger staggered in-plane STT is found in the Mn$_3$Gacase, while the STT in Mn$_3$Al vanishes quickly away from the interface(similarly to STT in ferromagnetic MTJs). The roles are reversed for the TMR,which is practically 100\% in the half-metallic Mn$_3$Al-based MTJs (using theconservative definition) as opposed to 60\% in the Mn$_3$Ga case. The weakdependence on the exact interface reconstruction would suggestMn$_3$Ga-Mn$_3$Al solid solutions as a possible route towards optimal trade-offof STT and TMR in the low-bias, low-temperature transport regime.

Ab initio comparison of spin-transport properties in MgO-spaced ferrimagnetic tunnel junctions based on Mn$_3$Ga and Mn$_3$Al