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Vacuum anomalous Hall effect in gyrotropic cavity

I. V. Tokatly1,2,3,4, D. R. Gulevich4, and I. Iorsh4

  • 1Nano-Bio Spectroscopy Group and European Theoretical Spectroscopy Facility (ETSF), Departamento de Polímeros y Materiales Avanzados: Física, Química y Tecnología, Universidad del País Vasco, Avenida Tolosa 72, E-20018 San Sebastián, Spain
  • 2IKERBASQUE, Basque Foundation for Science, 48009 Bilbao, Spain
  • 3Donostia International Physics Center (DIPC), E-48009 Donostia-San Sebastián, Spain
  • 4ITMO University, School of Physics and Engineering, E-20018 Saint Petersburg, Russia

Phys. Rev. B 104, L081408 – Published 23 August, 2021

DOI: https://doi.org/10.1103/PhysRevB.104.L081408

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, 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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