Spectral signatures of the surface anomalous Hall effect in magnetic axion insulators

Abstract

The topological surface states of magnetic topological systems, such as Weyl semimetals and axion insulators, are associated with unconventional transport properties such as nonzero or half-quantized surface anomalous Hall effect. Here we study the surface anomalous Hall effect and its spectral signatures in different magnetic topological phases using both model Hamiltonian and first-principles calculations. We demonstrate that by tailoring the magnetization and interlayer electron hopping, a rich three-dimensional topological phase diagram can be established, including three types of topologically distinct insulating phases bridged by Weyl semimetals, and can be directly mapped to realistic materials such as MnBi2Te4/(Bi2Te3)n systems. Among them, we find that the surface anomalous Hall conductivity in the axion-insulator phase is a well-localized quantity either saturated at or oscillating around e2/2h, depending on the magnetic homogeneity. We also discuss the resultant chiral hinge modes embedded inside the side surface bands as the potential experimental signatures for transport measurements. Our study is a significant step forward towards the direct realization of long-sought axion insulators in realistic material systems.

22 pages, 4 figures

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• Antiferromagnetic topological insulators
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• Using nonlocal surface transport to identify the axion insulator
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• Light-induced topological phase transition with tunable layer Hall effect in axion antiferromagnets
• Quantized and half-quantized Anomalous Hall effect induced by in-plane magnetic field
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• Half-Quantized Helical Hinge Currents in Axion Insulators
• Intrinsic magnetic topological insulators of the MnBi${}_2$Te${}_4$ family
• Giant nonlocal edge conduction in the axion insulator state of MnBi2Te4
• Axion Insulator State in Hundred-Nanometer-Thick Magnetic Topological Insulator Sandwich Heterostructures
• Altermagnetism-Induced Parity Anomaly in Weak Topological Insulators
• Systemic Consequences of Disorder in Magnetically Self-Organized Topological MnBi${}_2$Te${}_4/$(Bi${}_2$Te${}_3$)${}_n$ Superlattices
• Observation of magnetism induced topological edge state in antiferromagnetic topological insulator MnBi4Te7
• Identifying Axion Insulator by Quantized Magnetoelectric Effect in Antiferromagnetic ${\mathrm{MnBi}}_2{\mathrm{Te}}_4$ Tunnel Junction
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• Three-Dirac-fermion approach to unexpected universal gapless surface states of van der Waals magnetic topological insulators
• Quantum Anomalous Hall Effect in Perfectly Compensated Collinear Antiferromagnetic Thin Films
• Topological Magnetoelectric Response in Ferromagnetic Axion Insulators
• Magnetic topological transistor exploiting layer-selective transport
• Van der Waals engineering of ultrafast carrier dynamics in magnetic heterostructures
• Lossless Spin-Orbit Torque in Antiferromagnetic Topological Insulator MnBi${}_2$Te${}_4$
• A Dirac-fermion approach and its application to design high Chern numbers in magnetic topological insulator multilayers
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• On the half-quantized Hall conductance of massive surface electrons in magnetic topological insulator films
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• Magnetization-Induced Phase Transitions on the surface of 3D Topological Insulators
• Evidence for Half-Quantized Chiral Edge Current in a C = 1/2 Parity Anomaly State
• Helical Luttinger liquid on the edge of a 2-dimensional topological antiferromagnet
• Quantum interference in a superconductor-${\mathrm{MnBi}}_2{\mathrm{Te}}_4$-superconductor Josephson junction
• Symmetry-driven anisotropic coupling effect in antiferromagnetic topological insulator: Mechanism for high-Chern-number quantum anomalous Hall state
• Fermi level dependence of magnetism and magnetotransport in the magnetic topological insulators Bi${}_2$Te${}_3$ and BiSbTe${}_3$ containing self-organized MnBi${}_2$Te${}_4$ septuple layers
• Electrically tunable high-Chern-number quasiflat bands in twisted antiferromagnetic topological insulators
• Axion insulator, Weyl points, quantum anomalous Hall effect and magnetic topological phase transition in Eu3In2As4
• Hybrid symmetry class topological insulators
• Magneto-optical Kerr and Faraday effects in bilayer antiferromagnetic insulators
• Direct visualization of edge state in even-layer MnBi2Te4 at zero magnetic field