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A space-time dependent node separation in Weyl semimetals acts as an axialvector field. Coupled with domain wall motion in magnetic Weyl semimetals, thisinduces axial electric and magnetic fields localized at the domain wall. Weshow how these fields can activate the axial (chiral) anomaly and provide adirect experimental signature of it. Specifically, a domain wall provides aspatially dependent Weyl node separation and an axial magnetic field$\textbf{B}_5$, and domain wall movement, driven by an external magnetic field,gives the Weyl node separation a time dependence, inducing an axial electricfield $\textbf{E}_5$. At magnetic fields beyond the Walker breakdown,$\textbf{E}_5\cdot\textbf{B}_5$ becomes nonzero and activates the axial anomalythat induces a finite axial charge density -- imbalance in the number of left-and right-handed fermions -- moving with the domain wall. This axial density,in turn, produces, via the chiral magnetic effect, an oscillating currentflowing along the domain wall plane, resulting in a characteristic radiation ofelectromagnetic waves emanating from the domain wall. A detection of thisradiation would constitute a direct measurement of the axial anomaly induced byaxial electromagnetic fields.

Axial anomaly generation by domain wall motion in Weyl semimetals