Signature of parity anomaly in the measurement of optical Hall conductivity in quantum anomalous Hall systems

Abstract

Parity anomaly is a quantum mechanical effect that the parity symmetry in a two-dimensional classical action is failed to be restored in any regularization of the full quantum theory and is characterized by a half-quantized Hall conductivity. Here we propose a scheme to explore the experimental signature from parity anomaly in the measurement of optical Hall conductivity, in which the optical Hall conductivity is nearly half quantized for a proper range of frequency. The behaviors of optical Hall conductivity are studied for several models, which reveal the appearance of half-quantized Hall conductivity in low or high-frequency regimes. The optical Hall conductivity can be extracted from the measurement of Kerr and Faraday rotations and the absorption rate of the circularly polarized light. This proposal provides a practical method to explore the signature of parity anomaly in topological quantum materials.

arXiv comment9 pages, 5 figures

References in corpus (28)

• Topological insulators and superconductors
• Quantum Spin Hall Effect and Topological Phase Transition in HgTe Quantum Wells
• Experimental Observation of the Quantum Anomalous Hall Effect in a Magnetic Topological Insulator
• Quantized Anomalous Hall Effect in Magnetic Topological Insulators
• Emergent ferromagnetism near three-quarters filling in twisted bilayer graphene
• Intrinsic quantized anomalous Hall effect in a moiré heterostructure
• Dirac Semimetals in Two Dimensions
• Massive Dirac fermions and spin physics in an ultrathin film of topological insulator
• Magnetic impurities on the surface of a topological insulator
• Giant Magneto-optical Kerr Effect and Universal Faraday Effect in Thin-film Topological Insulators
• Quantized Faraday and Kerr rotation and axion electrodynamics of a 3D topological insulator
• Quantized topological magnetoelectric effect of the zero-plateau quantum anomalous Hall state
• Observation of the universal magnetoelectric effect in a 3D topological insulator
• Competing zero-field Chern insulators in Superconducting Twisted Bilayer Graphene
• Optical Hall conductivity in ordinary and graphene QHE systems
• Probing topology by "heating": Quantized circular dichroism in ultracold atoms
• Surface-edge state and half quantized Hall conductance in topological insulators
• Anomalous Hall effect, magneto-optical properties, and nonlinear optical properties of twisted graphene systems
• Floquet band structure of a semi-Dirac system
• Half-Quantized Hall Effect and Power Law Decay of Edge Current Distribution
• Realizing Haldane Model in Fe-based Honeycomb Ferromagnetic Insulators
• Floquet-engineering topological transitions in a twisted transition metal dichalcogenide homobilayer
• Quantum anomalous Hall effect in two-dimensional magnetic insulator heterojunctions
• The Bulk-Hinge Correspondence and Three-Dimensional Quantum Anomalous Hall Effect in Second Order Topological Insulators
• Temperature and Chemical Potential Dependence of the Parity Anomaly in Quantum Anomalous Hall Insulators
• A note on the parity anomaly from the Hamiltonian point of view
• Momentum-Dependent Mass and AC Hall Conductivity of Quantum Anomalous Hall Insulators and Their Relation to the Parity Anomaly
• Dirac fermion duality and the parity anomaly

Cited by in corpus (4)

• Signature of Parity Anomaly: Crossover from One Half to Integer Quantized Hall Conductance in a Finite Magnetic Field
• Calculations of Chern number: equivalence of real-space and twisted-boundary-condition formulae
• Parity anomaly with impurities and the Pauli--Villars subtraction
• Tri-component-pairing chiral superconductivity on the honeycomb lattice with mixed $s$- and $d$-wave symmetries