Coherent Magneto-Optical Effects in Topological Insulators: Excitation Near the Absorption Edge

Abstract

We study coherent optics in topological insulator surface states with broken time-reversal symmetry and develop a theory for the dynamical Hall effect driven by intense electromagnetic field. The influence of optical Stark effect enters as nonlinear dependence on the optical field in the resulting Faraday ${\theta }_F$ and Kerr ${\theta }_K$ rotations. This nonlinear correction is found to decrease ${\theta }_F$ with the strength of the A.C. electric field, whereas ${\theta }_K$ exhibits a non-monotonic behavior. We also assess the effects of relaxation and dephasing on the Hall and magneto-optical responses when the frequency detuning is comparable to the inverse lifetime of the conduction electrons.

9 pages, 10 figures. Typos corrected

References in corpus (3)

• Topological Field Theory of Time-Reversal Invariant Insulators
• On the $Z_2$ classification of Quantum Spin Hall Models
• Observation of topological Faraday and Kerr rotations in quantum anomalous Hall state by terahertz magneto-optics

Cited by in corpus (6)

• Transport in two-dimensional topological materials: recent developments in experiment and theory
• Photo-Induced Anomalous Hall Effect in Two-Dimensional Transition-Metal Dichalcogenides
• Valley Hall Transport of Photon-Dressed Quasiparticles in 2D Dirac Semiconductors
• High-frequency breakdown of the integer QHE in GaAs/AlGaAs heterojunctions
• Nonlinear and anisotropic polarization rotation in two dimensional Dirac materials
• Dynamical Quantum Anomalous Hall Effect in Strong Optical Fields