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We show how the axial (chiral) anomaly induces a spin torque on themagnetization in magnetic Weyl semimetals. The anomaly produces an imbalance inleft- and right-handed chirality carriers when non-orthogonal electric andmagnetic fields are applied. Such imbalance generates a spin density whichexerts a torque on the magnetization, the strength of which can be controlledby the intensity of the applied electric field. We show how this results in anelectric control of the chirality of domain walls, as well as in an improvementof the domain wall dynamics, by delaying the onset of the Walker breakdown. Themeasurement of the electric field mediated changes in the domain wall chiralitywould constitute a direct proof of the axial anomaly. Additionally, we show howquantum fluctuations of electronic Fermi arc states bound to the domain wallnaturally induce an effective magnetic anisotropy, allowing for high domainwall velocities even if the intrinsic anisotropy of the magnetic Weyl semimetalis small.

Electric manipulation of domain walls in magnetic Weyl semimetals via the axial anomaly