Dynamical Quantum Anomalous Hall Effect in Strong Optical Fields

Abstract

Topological insulators (TIs) are characterized by the quantum anomalous Hall effect (QAHE) on the topological surface states under time-reversal symmetry breaking. Motivated by recent experiments on the magneto-optical effects induced by the QAHE, we develop a theory for the dynamical Hall conductivity for subgap optical frequency and intense optical fields using the Keldysh-Floquet Green's function formalism. Our theory reveals a nonlinear regime in which the Hall conductivity remains close to $e^2/2h$ at low frequencies. At higher optical fields, we find that the subsequent collapse of the half quantization is accompanied by coherent oscillations of the dynamical Hall conductivity as a function of field strength, triggered by the formation of Floquet subbands and the concomitant inter-subband transitions.

6 pages, 3 figures

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Cited by in corpus (12)

• Transport in two-dimensional topological materials: recent developments in experiment and theory
• Floquet engineering of twisted double bilayer graphene
• Non-Equilibrium RKKY Interaction in Irradiated Graphene
• Photo-Induced Anomalous Hall Effect in Two-Dimensional Transition-Metal Dichalcogenides
• Photocontrol of magnetic structure in an itinerant magnet
• High-frequency breakdown of the integer QHE in GaAs/AlGaAs heterojunctions
• Photon-Induced Suppression of Interlayer Tunneling in Van Der Waals Heterostructures
• Impurity Screening and Friedel Oscillations in Floquet-driven Two-dimensional Metals
• Finite-Size Effects in the Dynamic Conductivity and Faraday Effect of Quantum Anomalous Hall Insulators
• Optical conductivity and orbital magnetization of Floquet vortex states
• Floquet Control of Indirect Exchange Interaction in Periodically Driven Two-Dimensional Electron Systems
• Photo-induced Non-collinear Interlayer RKKY Coupling in Bulk Rashba Semiconductors