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Spin semimetals are amongst the most recently discovered new class ofspintronic materials, which exhibit a band gap in one spin channel andsemimetallic feature in the other, thus facilitating tunable spin transport.Here, we report Mn$_2$IrGa to be a candidate material for spin semimetal alongwith giant coercivity and spin-valve characteristics using a combinedexperimental and theoretical study. The alloy crystallizes in an inverseHeusler structure (without any martensitic transition) with a para- toferri-magnetic transition at $T_\mathrm{C} \sim$ 243 K. It shows a giantcoercive field of about 8.5 kOe (at 2 K). The negative temperature coefficient,relatively low magnitude and weak temperture dependance of electricalresistivity suggest the semimetallic character of the alloy. This is furthersupported by our specific heat measurement. Magnetoresistance (MR) confirms anirreversible nature (with its magnitude $\sim$1\%) along with a change of signacross the magnetic transition indicating the potentiality of Mn$_2$IrGa inmagnetic switching applications. In addition, asymmetric nature of MR in thepositive and negative field cycles is indicative of spin-valve characteristics.Our ab-initio calculations confirm the inverse Heusler structure withferrimagnetic ordering to be the lowest energy state, with a saturationmagnetization of 2 $\mu_\mathrm{B}$. $<100>$ is found to be the easy magneticaxis with considerable magneto-crystalline anisotropy energy. A large positiveBerry flux at/around $\Gamma$ point gives rise to an appreciable anomalous Hallconductivity ($\sim$-180 S/cm).

Spin-valve nature and giant coercivity of a ferrimagnetic spin semimetal Mn$_2$IrGa