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The effective tight-binding model with compensated ferrimagneticinverse-Heusler lattice Ti$_{2}$MnAl, candidate material of magnetic Weylsemimetal, is proposed. The energy spectrum near the Fermi level, theconfigurations of the Weyl points, and the anomalous Hall conductivity arecalculated. We found that the orbital magnetization is finite, while the totalspin magnetization vanishes, at the energy of the Weyl points. The magneticmoments at each site are correlated with the orbital magnetization, and can becontrolled by the external magnetic field.

Effective Tight-Binding Model of Compensated Ferrimagnetic Weyl Semimetal with Spontaneous Orbital Magnetization