Vacuum anomalous Hall effect in gyrotropic cavity

Physical Review B 104, L081408 (2021)

Vacuum anomalous Hall effect in gyrotropic cavity

I. V. Tokatly, D. R. Gulevich, I. Iorsh

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, this 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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