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We employ {\it ab-initio} fully-relativistic electronic structurecalculations to study the stability of the Weyl points in the momentum spacewithin the class of the half-metallic ferromagnetic full Heusler materials, byfocusing on Co$_2$TiAl as a well-established prototype compound. Here we showthat both the number of the Weyl points together with their $k$-spacecoordinates can be controlled by the orientation of the magnetization. Thisalternative degree of freedom, which is absent in other topological materials(e.g. in Weyl semimetals), introduces novel functionalities, specific for theclass of half-metallic ferromagnets. Of special interest are Weyl points whichare preserved irrespectively of any arbitrary rotation of the magnetizationaxis.

Stability of Weyl points in magnetic half-metallic Heusler compounds