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We predict a magnetic Weyl semimetal in the inverse Heusler Ti2MnAl, acompensated ferrimagnet with a vanishing net magnetic moment and a Curietemperature of over 650 K. Despite the vanishing net magnetic moment, wecalculate a large intrinsic anomalous Hall effect (AHE) of about 300 S/cm. Itderives from the Berry curvature distribution of the Weyl points, which areonly 14 meV away from the Fermi level and isolated from trivial bands.Different from antiferromagnets Mn3X (X= Ge, Sn, Ga, Ir, Rh, and Pt), where theAHE originates from the non-collinear magnetic structure, the AHE in Ti2MnAlstems directly from the Weyl points and is topologically protected. The largeanomalous Hall conductivity (AHC) together with a low charge carrierconcentration should give rise to a large anomalous Hall angle. In contrast tothe Co-based ferromagnetic Heusler compounds, the Weyl nodes in Ti2MnAl do notderive from nodal lines due to the lack of mirror symmetries in the inverseHeusler structure. Since the magnetic structure breaks spin-rotation symmetry,the Weyl nodes are stable without SOC. Moreover, because of the largeseparation between Weyl points of opposite topological charge, the Fermi arcsextent up to 75% of the reciprocal lattice vectors in length. This makesTi2MnAl an excellent candidate for the comprehensive study of magnetic Weylsemimetals. It is the first example of a material with Weyl points, largeanomalous Hall effect and angle despite a vanishing net magnetic moment.

Prediction of a magnetic Weyl semimetal without spin-orbit coupling and strong anomalous Hall effect in the Heusler compensated ferrimagnet Ti2MnAl