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arXiv · 2104.03147

Vacuum anomalous Hall effect in gyrotropic cavity

Ilya Tokatly·Dmitry Gulevich·Ivan Iorsh
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Abstract

We consider the ground state of an electron gas embedded in a quantum gyrotropic cavity. We show that the light-matter interaction leads to a nontrivial topology of the many-body electron-photon wave function characterized by a nonzero Berry curvature. Physically, the latter manifests as the anomalous Hall effect, appearance of equilibrium edge/surface currents and orbital magnetization induced by vacuum fluctuations. Remarkably, closed analytical expressions for the anomalous Hall conductivity and macroscopic magnetization are obtained for the interacting many-body case.

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Ilya Tokatly, Dmitry Gulevich, Ivan Iorsh. 2021-04-16. Vacuum anomalous Hall effect in gyrotropic cavity. https://doi.org/10.1103/physrevb.104.l081408

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