Magneto-optical and Magneto-electric Effects of Topological Insulators in Quantizing Magnetic Fields

Abstract

We develop a theory of the magneto-optical and magneto-electric properties of a topological insulator thin film in the presence of a quantizing external magnetic field. We find that low-frequency magneto-optical properties depend only on the sum of top and bottom surface Dirac-cone filling factors ${\nu }_{\mathrm{T}}$ and ${\nu }_{\mathrm{B}}$, whereas the low-frequency magneto-electric response depends only on the difference. The Faraday rotation is quantized in integer multiples of the fine structure constant and the Kerr effect exhibits a $\pi /2$ rotation. Strongly enhanced cyclotron-resonance features appear at higher frequencies that are sensitive to the filling factors of both surfaces. When the product of the bulk conductivity and the film thickness in $e^2/h$ units is small compared to $\alpha$, magneto-optical properties are only weakly dependent on accidental doping in the interior of the film.

4 pages

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Cited by in corpus (70)

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• Observation of the universal magnetoelectric effect in a 3D topological insulator
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• Faraday effect in graphene enclosed in an optical cavity and the equation of motion method for the study of magneto-optical transport in solids
• Transport in three-dimensional topological insulators: theory and experiment
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• Weak antilocalization in HgTe quantum wells and topological surface states: Massive versus massless Dirac fermions
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• Quantized Casimir Force
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• Spin-polarized tunneling current through a thin film of topological insulator in a parallel magnetic field
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• The Casimir effect in topological matter
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• Probing topological transitions in HgTe/CdTe quantum wells by magneto-optical measurements
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• Strong interband Faraday rotation in 3D topological insulator Bi2Se3
• Tunneling spectroscopy and Josephson current of superconductor-ferromagnet hybrids on the surface of a 3D TI
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• Quantum magneto-optics of graphite with trigonal warping
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• Kerr, Faraday, and Magnetoelectric Effects in MnBi${}_2$Te${}_4$ Thin Films
• Electron-Hole Asymmetry of Surface States in Topological Insulator Sb2Te3 Thin Films Revealed by Magneto-Infrared Spectroscopy
• Multiphoton excitation and high-harmonics generation in topological insulator
• Time Circular Birefringence in Time-Dependent Magnetoelectric Media
• Two-dimensional topological insulators in quantizing magnetic fields
• Coherent Magneto-Optical Effects in Topological Insulators: Excitation Near the Absorption Edge
• Electromagnetic Radiation in chiral matter: the Cherenkov case
• Magneto-Infrared Spectroscopic Study of Ultrathin Bi${}_2$Te${}_3$ Single Crystals
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• Effect of Perturbative Hexagonal Warping on Quantum Capacitance in Ultra-Thin Topological Insulators
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• Structural, Surface Morphology and Magneto-Transport properties of Self Flux Grown Eu Doped Bi2Se3 Single Crystal
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• Unidirectional magneto-transport of linearly dispersing topological edge states
• Finite-Size Effects in the Dynamic Conductivity and Faraday Effect of Quantum Anomalous Hall Insulators
• Anomalous Behaviour in the Magneto-Optics of a Gapped Topological Insulator
• Quantum emulation of topological magneto-optical effects using ultracold atoms