Chiral Magnetic Effect and Anomalous Hall Effect in Antiferromagnetic Insulators with Spin-Orbit Coupling

Abstract

We search for dynamical magnetoelectric phenomena in three-dimensional correlated systems with spin-orbit coupling. We focus on the antiferromagnetic insulator phases where the dynamical axion field is realized by the fluctuation of the antiferromagnetic order parameter. It is shown that the dynamical chiral magnetic effect, an alternating current generation by magnetic fields, emerges due to the time dependences of the order parameter such as antiferromagnetic resonance. It is also shown that the anomalous Hall effect arises due to the spatial variations of the order parameter such as antiferromagnetic domain walls. Our study indicates that spin excitations in antiferromagnetic insulators with spin-orbit coupling can result in nontrivial charge responses. Moreover, observing the chiral magnetic effect and anomalous Hall effect in our system is equivalent to detecting the dynamical axion field in condensed matter.

8 pages, 2 figures

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• Dynamical magnetoelectric coupling in axion insulator thin films
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• Topological magnetoelectric pump in three dimensions
• Collective excitations in magnetic topological insulators and axion dark matter search
• Chiral Magnetic Effect due to Inhomogeneous Magnetic Fields in Noncentrosymmetric Weyl Semimetals
• Topology-insensitive axion mass in magnetic topological insulators
• Scaling of the chiral magnetic effect in quantum diffusive Weyl semimetals
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• Manifestation of chiral magnetic current in Floquet-Weyl semimetals