Fig. 2: Spin canting gaps out Weyl nodal lines and pushes Berry curvature to the Fermi surface.
a, b Band structures without and with spin canting (3°), respectively. c Band structure with 3° canting but excluding SOC. The color bar represents the amplitude of Berry curvature Ωyx. Without spin canting, there is a doubly-degenerate (weakly gapped by SOC) Weyl nodal line dispersing along the K − H axis (including the K point) in the Brillouin zone, as indicated by the solid green line in d. Spin canting significantly gaps out the nodal line, as indicated by the dashed green line in e, and induces giant Berry curvature Ωyx on split bands in b and c. The mirror planes [Mx, blue planes in d] without spin canting forces Ωyx = 0 inside the plane. The Fermi energy is shifted to zero. f The Fermi energy-dependent anomalous Hall conductivities for 3° canting. \({\sigma }_{yx}^{A}\) is dominantly contributed by the spin chirality while \({\sigma }_{zy}^{A}\) relies on SOC.
