Stability of Weyl points in magnetic half-metallic Heusler compounds

Abstract

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

References in corpus (2)

• Colloquium: Topological Band Theory
• Topological Semimetals Predicted from First-principles Calculations

Cited by in corpus (6)

• Heusler, Weyl, and Berry
• From colossal to zero: Controlling the Anomalous Hall Effect in Magnetic Heusler Compounds via Berry Curvature Design
• The study of magnetic topological semimetals by first principles calculations
• Half-metallic Ferromagnets, Spin Gapless Semiconductors, and Topological Semimetals Based on Heusler Alloys
• Strong anomalous Nernst effect in collinear magnetic Weyl semimetals without net magnetic moments
• Role of chemical disorder in tuning the Weyl points in vanadium doped Co${}_2$TiSn