Universal charge and current on magnetic domain walls in Weyl semimetals

Abstract

Domain walls in three-dimensional Weyl semimetals, formed by localized magnetic moments, are investigated. There appear bound states around the domain wall with the discrete spectrum, among which we find "Fermi arc" states with the linear dispersion. The Fermi arc modes contribute to the electric charge and current localized at the domain wall, which reveal a universal behavior depending only on chemical potential and the splitting of the Weyl nodes. This equilibrium current can be traced back to the chiral magnetic effect, or the edge counterpart of the anomalous Hall effect in the bulk. We propose a new way to manipulate the motion of the domain wall, accompanied with the localized charge, by applying an external electric field.

8 pages, 6 figures; format changed and several comments added

References in corpus (10)

• Topological Field Theory of Time-Reversal Invariant Insulators
• Quantized Anomalous Hall Effect in Magnetic Topological Insulators
• The Chiral Magnetic Effect
• Anomalous Hall Effect in Weyl Metals
• Microscopic approach to current-driven domain wall dynamics
• Matching domain wall configuration and spin-orbit torques for very efficient domain-wall motion
• Surface quantized anomalous Hall current and magneto-electric effect in magnetically disordered topological insulators
• Current-induced domain wall motion in Rashba spin-orbit system
• Spin and Orbital Magnetic Response on the Surface of a Topological Insulator
• Topological Fermi arcs in superfluid ${}^3$He

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