Axial anomaly generation by domain wall motion in Weyl semimetals

Abstract

A space-time dependent node separation in Weyl semimetals acts as an axial vector field. Coupled with domain wall motion in magnetic Weyl semimetals, this induces axial electric and magnetic fields localized at the domain wall. We show how these fields can activate the axial (chiral) anomaly and provide a direct experimental signature of it. Specifically, a domain wall provides a spatially dependent Weyl node separation and an axial magnetic field ${\text{B}}_5$, and domain wall movement, driven by an external magnetic field, gives the Weyl node separation a time dependence, inducing an axial electric field ${\text{E}}_5$. At magnetic fields beyond the Walker breakdown, ${\text{E}}_5\cdot {\text{B}}_5$ becomes nonzero and activates the axial anomaly that 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 current flowing along the domain wall plane, resulting in a characteristic radiation of electromagnetic waves emanating from the domain wall. A detection of this radiation would constitute a direct measurement of the axial anomaly induced by axial electromagnetic fields.

arXiv comment10 pages, 4 figures; V2: Added calculations of radiation in near and far field

References in corpus (35)

• Electronic Structure of Pyrochlore Iridates: From Topological Dirac Metal to Mott Insulator
• Weyl and Dirac Semimetals in Three Dimensional Solids
• The Chiral Magnetic Effect
• Chiral Anomaly and Classical Negative Magnetoresistance of Weyl Metals
• Negative magnetoresistance without well-defined chirality in the Weyl semimetal TaP
• Gauge fields in graphene
• Magnetic Weyl Semimetal Phase in a Kagome Crystal
• Fermi-arc diversity on surface terminations of the magnetic Weyl semimetal Co3Sn2S2
• Discovery of topological Weyl fermion lines and drumhead surface states in a room temperature magnet
• Counting statistics of single-electron transport in a quantum dot
• The Chiral Magnetic Effect and Anomaly-Induced Transport
• Microscopic approach to current-driven domain wall dynamics
• Double Quantum Dots as Detectors of High-Frequency Quantum Noise in Mesoscopic Conductors
• Notes on Anomaly Induced Transport
• Elastic Gauge Fields in Weyl Semimetals
• Experimental tests of the chiral anomaly magnetoresistance in the Dirac-Weyl semimetals Na${}_3$Bi and GdPtBi
• Spin fluctuation induced Weyl semimetal state in the paramagnetic phase of EuCd${}_2$As${}_2$
• Chiral anomaly from strain-induced gauge fields in Dirac and Weyl semimetals
• An ideal Weyl semimetal induced by magnetic exchange
• Axial anomaly and longitudinal magnetoresistance of a generic three dimensional metal
• Momentum creation by vortices in 3He experiments as a model of primordial baryogenesis
• Inhomogeneous Weyl and Dirac semimetals: Transport in axial magnetic fields and Fermi arc surface states from pseudo Landau levels
• Electric charging of magnetic textures on the surface of a topological insulator
• A condensed matter realization of the axial magnetic effect
• Thin-Film Magnetization Dynamics on the Surface of a Topological Insulator
• Pseudo-electromagnetic fields in topological semimetals
• Detection of zeptojoule microwave pulses using electrothermal feedback in proximity-induced Josephson junctions
• Longitudinal negative magnetoresistance and magneto-transport phenomena in conventional and topological conductors
• Magnetic textures and dynamics in magnetic Weyl semimetals
• Visualizing the chiral anomaly in Dirac and Weyl semimetals with photoemission spectroscopy
• Landau levels, Bardeen polynomials and Fermi arcs in Weyl semimetals: the who's who of the chiral anomaly
• Improved Domain Wall Dynamics and Magnonic Torques using Topological Insulators
• Detecting THz current fluctuations in a quantum point contact using a nanowire quantum dot
• Domain Wall Motion in Thin-Film Magnets/ Topological Insulator Junctions
• Dirac electrons and domain walls: a realization in junctions of ferromagnets and topological insulators

Cited by in corpus (11)

• Torsional Landau levels and geometric anomalies in condensed matter Weyl systems
• Mapping Domain Wall Topology in the Magnetic Weyl Semimetal CeAlSi
• Electric manipulation of domain walls in magnetic Weyl semimetals via the axial anomaly
• Emergent Chern-Simons Interactions in 3+1 Dimensions
• Pseudo-gauge Fields in Dirac and Weyl Materials
• Chiral gauge field in fully-spin polarized Weyl semimetal with magnetic domain walls
• Spatial Chern-Simons Interactions and Complex Magnetic Penetration Depth
• Probing domain wall dynamics in magnetic Weyl semimetals via the non-linear anomalous Hall effect
• Spin motive force by the momentum-space Berry phase in magnetic Weyl semimetals
• Light-induced pseudo-magnetic fields in three-dimensional topological semimetals
• Current response to axial gauge fields in noncentrosymmetric magnetic Weyl semimetals