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A developing frontier in condensed matter physics is the emergence of novelelectromagnetic responses, such as topological and anomalous Hall effect (AHE),in ferromagnetic Weyl semimetals (FM-WSMs). Candidates of FM-WSM are limited tomaterials that preserve inversion symmetry and generate Weyl crossings bybreaking time-reversal symmetry. These materials share three common features: acentrosymmetric lattice, a collinear FM ordering, and a large AHE observed whenthe field is parallel to the magnetic easy-axis. Here, we present CeAlSi as anew type of FM-WSM, where the Weyl nodes are stabilized by breaking inversionsymmetry, but their positions are tuned by breaking time-reversal symmetry.Unlike the other FM-WSMs, CeAlSi has a noncentrosymmetric lattice, anoncollinear FM ordering, and a novel AHE that is anisotropic between the easy-and hard-axes. It also exhibits large FM domains that are promising for bothdevice applications and an interplay between the Weyl nodes and FM domainwalls.

A new noncollinear ferromagnetic Weyl semimetal with anisotropic anomalous Hall effect