We show how the axial (chiral) anomaly induces a spin torque on the magnetization in magnetic Weyl semimetals. The anomaly produces an imbalance in left- and right-handed chirality carriers when non-orthogonal electric and magnetic fields are applied. Such imbalance generates a spin density which exerts a torque on the magnetization, the strength of which can be controlled by the intensity of the applied electric field. We show how this results in an electric control of the chirality of domain walls, as well as in an improvement of the domain wall dynamics, by delaying the onset of the Walker breakdown. The measurement of the electric field mediated changes in the domain wall chirality would constitute a direct proof of the axial anomaly. Additionally, we show how quantum fluctuations of electronic Fermi arc states bound to the domain wall naturally induce an effective magnetic anisotropy, allowing for high domain wall velocities even if the intrinsic anisotropy of the magnetic Weyl semimetal is small.

中文翻译：

---

通过轴向异常对Weyl磁性半金属中的畴壁进行电操纵

我们展示了轴向（手性）异常如何在磁性Weyl半金属中的磁化强度上引起自旋转矩。当施加非正交电场和磁场时，该异常会在左手和右手手征载体中产生不平衡。这种不平衡产生了自旋密度，该自旋密度在磁化强度上施加了扭矩，其强度可以通过施加的电场强度来控制。我们展示了如何通过延迟Walker击穿的发生而导致对畴壁手性的电控制以及对畴壁动力学的改善。电场介导的畴壁手性变化的测量将构成轴向异常的直接证明。此外，