Topological magneto-optical effects and their quantization in noncoplanar antiferromagnets

Abstract

Reflecting the fundamental interactions of polarized light with magnetic matter, magneto-optical effects are well known since more than a century. The emergence of these phenomena is commonly attributed to the interplay between exchange splitting and spin-orbit coupling in the electronic structure of magnets. Using theoretical arguments, we demonstrate that topological magneto-optical effects can arise in noncoplanar antiferromagnets due to the finite scalar spin chirality, without any reference to exchange splitting or spin-orbit coupling. We propose spectral integrals of certain magneto-optical quantities that uncover the unique topological nature of the discovered effect. We also find that the Kerr and Faraday rotation angles can be quantized in insulating topological antiferromagnets in the low-frequency limit, owing to nontrivial global properties that manifest in quantum topological magneto-optical effects. Although the predicted topological and quantum topological magneto-optical effects are fundamentally distinct from conventional light-matter interactions, they can be measured by readily available experimental techniques.

arXiv comment10 pages, 5 figures

References in corpus (24)

• Layer-dependent Ferromagnetism in a van der Waals Crystal down to the Monolayer Limit
• Discovery of intrinsic ferromagnetism in 2D van der Waals crystals
• Wannier90: A Tool for Obtaining Maximally-Localised Wannier Functions
• Topological Field Theory of Time-Reversal Invariant Insulators
• First Principles Calculation of Anomalous Hall Conductivity in Ferromagnetic bcc Fe
• Spin Anisotropy and Quantum Hall Effect in the Kagome Lattice - Chiral Spin State based on a Ferromagnet-
• Giant Magneto-optical Kerr Effect and Universal Faraday Effect in Thin-film Topological Insulators
• Large magneto-optical Kerr effect and imaging of magnetic octupole domains in an antiferromagnetic metal
• Scalar spin chirality and quantum Hall effect on a triangular lattice
• Quantized Faraday and Kerr rotation and axion electrodynamics of a 3D topological insulator
• Orbital ferromagnetism and anomalous Hall effect in antiferromagnets on distorted fcc lattice
• Topological quantization in units of the fine structure constant
• Symmetry-imposed shape of linear response tensors
• Observation of the universal magnetoelectric effect in a 3D topological insulator
• Magneto-Optical Faraday and Kerr Effects in Topological Insulator Films and in Other Layered Quantized Hall Systems
• Gate-controllable magneto-optic Kerr effect in layered collinear antiferromagnets
• Large magneto-optical Kerr effect in noncollinear antiferromagnets Mn${}_{3}X$ ($X$ = Rh, Ir, or Pt)
• Stability of spontaneous quantum Hall state in the Triangular Kondo-lattice model
• Quantum topological Hall effect and noncoplanar antiferromagnetism in K${}_{0.5}$RhO${}_2$
• Prototypical topological orbital ferromagnet $\gamma$-FeMn
• Universal Faraday rotation in HgTe wells with critical thickness
• Optical Study of the Electronic Structure and Correlation Effects in K0.49RhO2
• Electric field modulated topological magnetoelectric effect in Bi${}_2$Se${}_3$
• Magneto-optics induced by the spin chirality in itinerant ferromagnet Nd${}_2$Mo${}_2$O${}_7$

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• Coexistence of Weyl semimetal and Weyl nodal loop semimetal phases in a collinear antiferromagnet
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• Phase degree of freedom and topology in multiple-$Q$ spin textures
• Layer Control of Magneto-Optical Effects and Their Quantization in Spin-Valley Splitting Antiferromagnets
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• Anomalous valley Hall effect in monolayer chromium-based triple-Q magnets
• Second-order topological magneto-optical effects in noncoplanar antiferromagnets
• Photocontrol of spin scalar chirality in centrosymmetric itinerant magnets
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• Topological magneto-optics in the non-coplanar antiferromagnet Co_{1/3}NbS_2: Imaging and writing chiral magnetic domains
• Magnetic-Field and Strain Engineering of Modulated Transverse Transport in Altermagnetic Topological Materials
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• Magneto-optical Kerr and Faraday effects in bilayer antiferromagnetic insulators
• Emulation of magneto-optic Faraday effect using ultracold atoms
• Quantum emulation of topological magneto-optical effects using ultracold atoms
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