Optical Hall Effect in the Integer Quantum Hall Regime

Abstract

Optical Hall conductivity ${\sigma }_{xy}(\omega )$ is measured from the Faraday rotation for a GaAs/AlGaAs heterojunction quantum Hall system in the terahertz frequency regime. The Faraday rotation angle ($\sim$ fine structure constant $\sim$ mrad) is found to significantly deviate from the Drude-like behavior to exhibit a plateau-like structure around the Landau-level filling $\nu =2$. The result, which fits with the behavior expected from the carrier localization effect in the ac regime, indicates that the plateau structure, although not quantized, still exists in the terahertz regime.

4 pages, 4 figures

References in corpus (3)

• Optical Hall conductivity in ordinary and graphene QHE systems
• Absence of Scaling in the Integer Quantum Hall Effect
• Dynamical scaling of the quantum Hall plateau transition

Cited by in corpus (49)

• Floquet Engineering of Quantum Materials
• Giant Faraday rotation in single- and multilayer graphene
• Quantized Faraday and Kerr rotation and axion electrodynamics of a 3D topological insulator
• Observation of the universal magnetoelectric effect in a 3D topological insulator
• Faraday effect in graphene enclosed in an optical cavity and the equation of motion method for the study of magneto-optical transport in solids
• Superradiant Decay of Cyclotron Resonance of Two-Dimensional Electron Gases
• Optical Hall conductivity of a Floquet Topological Insulator
• Anomalous Hall effect, magneto-optical properties, and nonlinear optical properties of twisted graphene systems
• Colossal infrared and terahertz magneto-optical activity in a two-dimensional Dirac material
• Monolayer V2MX4: A new family of quantum anomalous Hall insulators
• Quantum gyro-electric effect: Photon spin-1 quantization in continuum topological bosonic phases
• Single-Shot Terahertz Time-Domain Spectroscopy in Pulsed High Magnetic Fields
• Quadratic band touching points and flat bands in two-dimensional topological Floquet systems
• Terahertz Quantum Hall Effect in a Topological Insulator
• Non-local topological electromagnetic phases of matter
• Time-Domain Terahertz Spectroscopy in High Magnetic Fields
• Terahertz Magneto Optical Polarization Modulation Spectroscopy
• Nonlinear optical response induced by non-Abelian Berry curvature in time-reversal-invariant insulators
• Efficient and improved prediction of the band offsets at semiconductor heterojunctions from meta-GGA density functionals
• A table-top, repetitive pulsed magnet for nonlinear and ultrafast spectroscopy in high magnetic fields up to 30 T
• Review of Anisotropic Terahertz Material Response
• Faraday rotation in bilayer and trilayer graphene in the quantum Hall regime
• Terahertz Faraday and Kerr rotation spectroscopy of Bi${}_{1-x}$Sb${}_x$ films in high magnetic fields up to 30 Tesla
• Strong interband Faraday rotation in 3D topological insulator Bi2Se3
• Viscous Maxwell-Chern-Simons theory for topological electromagnetic phases of matter
• All Optical Measurement Proposed for the Photovoltaic Hall Effect
• Strong transient magnetic fields induced by THz-driven plasmons in graphene disks
• Terahertz dynamics of a topologically protected state: quantum Hall effect plateaus near cyclotron resonance in a GaAs/AlGaAs heterojunction
• Electric-field modulation of linear dichroism and Faraday rotation in few-layer phosphorene
• High-frequency breakdown of the integer QHE in GaAs/AlGaAs heterojunctions
• Dynamical scaling analysis of the optical Hall conductivity in the quantum Hall regime
• Polarization-sensitive terahertz time-domain spectroscopy system without mechanical moving parts
• Quantized Faraday effect in (3+1)-dimensional and (2+1)-dimensional systems
• Anomalous criticality in the quantum Hall transition at $n=0$ Landau level of graphene with chiral-symmetric disorders
• Terahertz magneto-optical spectroscopy of two-dimensional hole and electron systems
• Light-induced anomalous Hall conductivity in massive 3D Dirac semimetal Co${}_3$Sn${}_2$S${}_2$
• Quantitative Measurements of Giant and Quantized Microwave Faraday Rotation
• Holographic Floquet states in low dimensions (I)
• Modified Martin-Puplett interferometer for magneto-optical Kerr effect measurements at sub-THz frequencies
• Nonlinear response of the quantum Hall system to a strong electromagnetic radiation
• Floquet states in (LaNiO${}_3$)${}_2$/(LaAlO${}_3$)${}_N$ heterostructures grown along the (111) direction
• Two parameter flow of σ_{xx}(ω) - σ_{xy}(ω) for the graphene quantum Hall system in ac regime
• Floquet Control of Indirect Exchange Interaction in Periodically Driven Two-Dimensional Electron Systems
• Optical conductivity and orbital magnetization of Floquet vortex states
• Microwave Hall measurements using a circularly polarized dielectric cavity
• Quantum plateaus in dynamical Hall conductivity
• Photonic band-gap transmission map of graphene in a defective optical structure
• Light-induced pseudo-magnetic fields in three-dimensional topological semimetals
• Measurements of cyclotron resonance of the interfacial states in strong spin-orbit coupled 2D electron gases proximitized with aluminum