Quantum Anomalous Hall Effect in Time-Reversal-Symmetry Breaking Topological Insulators

Abstract

The quantum anomalous Hall effect (QAHE), the last member of Hall family, was predicted to exhibit quantized Hall conductivity e2/h without any external magnetic field. The QAHE shares a similar physical phenomenon with the integer quantum Hall effect (QHE), whereas its physical origin relies on the intrinsic topological inverted band structure and ferromagnetism. Since the QAHE does not require external energy input in the form of magnetic field, it is believed that this effect has unique potential for applications in future electronic devices with low-power consumption. More recently, the QAHE has been experimentally observed in thin films of the time-reversal symmetry breaking ferromagnetic (FM) topological insulators (TI), Cr- and V- doped (Bi,Sb)2Te3. In this Topical Review, we review the history of TI based QAHE, the route to the experimental observation of the QAHE in the above two systems, the current status of the research of the QAHE, and finally the prospects for future studies.

60 pages, 32 figures. Invited topical review paper for Journal of Physics: Condensed Matter. This is the accepted version. Comments are welcomed

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• Quantum Anomalous Hall Effect in Antiferromagnetism
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• Giant anomalous Hall effect in quasi-two-dimensional layered antiferromagnet Co${}_{1/3}$NbS${}_2$
• Chern insulator in a hyperbolic lattice
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• Interface-Induced Sign Reversal of the Anomalous Hall Effect in Magnetic Topological Insulator Heterostructures
• Quantum anomalous Hall effect in two-dimensional magnetic insulator heterojunctions
• Confinement-Induced Chiral Edge Channel Interaction in Quantum Anomalous Hall Insulators
• Weak Localization and Antilocalization in Topological Materials with Impurity Spin-Orbit Interactions
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• Dirac-Electrons-Mediated Magnetic Proximity Effect in Topological Insulator / Magnetic Insulator Heterostructures
• Thermal Transport for Probing Quantum Materials
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• Topological insulator Bi2Se3 films on rare earth iron garnets and their high-quality interfaces
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• Spectral features of magnetic domain walls on surface of 3D topological insulators
• Evolution of Dopant-Concentration-Induced Magnetic Exchange Interaction in Topological Insulator Thin Films
• Probing the chirality of 1D Majorana edge states around a 2D nanoflake in a superconductor
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• Non-centrosymmetric superconductors on honeycomb lattice
• Theory of topological defects and textures in two-dimensional quantum orders with spontaneous symmetry breaking
• Electromagnon on the Surface of Magnetic Topological Insulator
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• Quantum anomalous Hall conductivity in altermagnets under applied magnetic field
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