Fig. 4: Rotation of Weyl points and the associated tuning of anomalous Hall response. | Communications Physics

Fig. 4: Rotation of Weyl points and the associated tuning of anomalous Hall response.

From: Vector-chirality driven topological phase transitions in noncollinear antiferromagnets and its impact on anomalous Hall effect

Fig. 4

Various topological semimetal phases, nodal-ring semimetal (NRSM) and Weyl semimetal (WSM) states, are calculated for different 120° noncollinear AFM states obtained by two types of collective rotations of {Si}; crystalline rotation (CR) and local rotation (LR). a Vector chirality κ = + 1 state considering \({a}_{1}^{+}\) AFM order clearly shows NRSM state. b \({a}_{1}^{-}\), c \({a}_{2}^{-}\) and d \({a}_{3}^{-}\) configurations all have vector chirality κ = − 1, obtained by CR. Another set of κ = − 1 states, e \({a}_{4}^{-}\), f \({a}_{5}^{-}\), g \({a}_{6}^{-}\), (h) \({a}_{7}^{-}\), are connected by clockwise LR of about 30o. Here, CR and LR both create Weyl-points at different locations of the ellipse. The locations and nontrivial topological charges of Weyl-points are calculated using the code WannierTools61 based on the Wannier tight-binding model constructed using the Wannier9060. i, j are Schematic representations of CR and LR.

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