Colloquium: Quantum anomalous Hall effect

Abstract

The quantum Hall (QH) effect, quantized Hall resistance combined with zero longitudinal resistance, is the characteristic experimental fingerprint of Chern insulators - topologically non-trivial states of two-dimensional matter with broken time-reversal symmetry. In Chern insulators, non-trivial bulk band topology is expressed by chiral states that carry current along sample edges without dissipation. The quantum anomalous Hall (QAH) effect refers to QH effects that occur in the absence of external magnetic fields due to spontaneously broken time-reversal symmetry. The QAH effect has now been realized in four different classes of two-dimensional materials: (i) thin films of magnetically (Cr- and/or V-) doped topological insulators in the (Bi,Sb)2Te3 family, (ii) thin films of the intrinsic magnetic topological insulator MnBi2Te4, (iii) moiré materials formed from graphene, and (iv ) moiré materials formed from transition metal dichalcogenides. In this Article, we review the physical mechanisms responsible for each class of QAH insulator, highlighting both differences and commonalities, and comment on potential applications of the QAH effect.

arXiv comment39 pages, 18 figures, comments are welcome

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• Spontaneous Quantum Hall States in Chirally-stacked Few-Layer Graphene Systems
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• High-Chern-Number and High-Temperature Quantum Hall Effect without Landau Levels
• Chern Insulators and Topological Flat-bands in Magic-angle Twisted Bilayer Graphene
• Quantized Faraday and Kerr rotation and axion electrodynamics of a 3D topological insulator
• Higher-order Topology of Axion Insulator EuIn${}_2$As${}_2$
• Realization of the Axion Insulator State in Quantum Anomalous Hall Sandwich Heterostructures
• A mechanism for anomalous Hall ferromagnetism in twisted bilayer graphene
• Magnetic modulation doping in topological insulators toward higher-temperature quantum anomalous Hall effect
• Strong coupling phases of partially filled twisted bilayer graphene narrow bands
• Gapless surface Dirac cone in antiferromagnetic topological insulator MnBi${}_2$Te${}_4$
• Crystal growth and magnetic structure of MnBi2Te4
• Precise quantization of anomalous Hall effect near zero magnetic field
• Layer Hall effect in a 2D topological Axion antiferromagnet
• Continuous Mott transition in semiconductor moiré superlattices
• Spin-Valleytronics in Silicene: Quantum-Spin-Quantum-Anomalous Hall Insulators and Single-Valley Semimetals
• Topological Electronic Structure and Its Temperature Evolution in Antiferromagnetic Topological Insulator MnBi2Te4
• Electrical switching of magnetic order in an orbital Chern insulator
• Electrically tunable quantum anomalous Hall effect in 5d transition-metal adatoms on graphene
• Prediction of Near-Room-Temperature Quantum Anomalous Hall Effect on Honeycomb Materials
• Orbital magnetization in crystalline solids: Multi-band insulators, Chern insulators, and metals
• Dirac surface states in intrinsic magnetic topological insulators EuSn2As2 and MnBi2nTe3n+1
• Quantum Theory of Orbital Magnetization and its Generalization to Interacting Systems
• Carrier-independent ferromagnetism and giant anomalous Hall effect in magnetic topological insulator
• Quantized Response and Topology of Insulators with Inversion Symmetry
• Distinguishing a Majorana zero mode using spin resolved measurements
• Large magnetic gap at the Dirac point in a Mn-induced Bi${}_2$Te${}_3$ heterostructure
• Electrically tunable correlated and topological states in twisted monolayer-bilayer graphene
• Quantized Anomalous Hall Effect in Two-Dimensional Ferromagnets - Quantum Hall Effect from Metal -
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• Fractional Chern Insulator States in Twisted Bilayer Graphene: An Analytical Approach
• Natural van der Waals heterostructural single crystals with both magnetic and topological properties
• The pseudo-Landau-level representation of twisted bilayer graphene: band topology and the implications on the correlated insulating phase
• Quantum Anomalous Hall Effect in Single-layer and Bilayer Graphene
• Pseudospin Magnetism in Graphene
• Highly-ordered wide bandgap materials for quantized anomalous Hall and magnetoelectric effects
• Gate-controlled topological conducting channels in bilayer graphene
• Tuning electron correlation in magic-angle twisted bilayer graphene using Coulomb screening
• Quantum valley Hall effect, orbital magnetism, and anomalous Hall effect in twisted multilayer graphene systems
• Twisted Bilayer Graphene IV. Exact Insulator Ground States and Phase Diagram
• Landau quantization and the thickness limit of topological insulator thin films of Sb2Te3
• Axion Electrodynamics in Topological Materials
• Hofstadter subband ferromagnetism and symmetry broken Chern insulators in twisted bilayer graphene
• Variety of magnetic topological phases in the (MnBi${}_2$Te${}_4$)(Bi${}_2$Te${}_3$)${}_m$ family
• Large Chern Number Quantum Anomalous Hall Effect In Thin-film Topological Crystalline Insulators
• Quantum Anomalous Hall State in Bilayer Graphene
• Quantized topological magnetoelectric effect of the zero-plateau quantum anomalous Hall state
• Rashba Effect at Magnetic Metal Surfaces
• Möbius Insulator and Higher-Order Topology in MnBi${}_{2n}$Te${}_{3n+1}$
• Ferromagnetic Mott State in Twisted Graphene Bilayers at the Magic Angle
• Chiral topological superconductor and half-integer conductance plateau from quantum anomalous Hall plateau transition
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• Tailoring tricolor structure of magnetic topological insulator for robust axion insulator
• Gapless Dirac surface states in the antiferromagnetic topological insulator MnBi2Te4
• Tuning Chern Number in Quantum Anomalous Hall Insulators
• 3D quantum Hall effect of Fermi arcs in topological semimetals
• Observation of the universal magnetoelectric effect in a 3D topological insulator
• Realization of an intrinsic, ferromagnetic topological state in MnBi8Te13
• Evolution of structural, magnetic and transport properties in MnBi2-xSbxTe4
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• Above 400 K Robust Perpendicular Ferromagnetic Phase in a Topological Insulator
• Metal-to-Insulator Switching in Quantum Anomalous Hall States
• Surface states and Rashba-type spin polarization in antiferromagnetic MnBi${}_2$Te${}_4$
• Surfaces of Axion Insulators
• Microscopic theory of quantum anomalous Hall effect in graphene
• Visualization of superparamagnetic dynamics in magnetic topological insulators
• Zero-field dissipationless chiral edge transport and the nature of dissipation in the quantum anomalous Hall state
• Quantum anomalous Hall effect with tunable Chern number in magnetic topological insulator film
• A valley valve and electron beam splitter
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• Twisted bilayer graphene. II. Stable symmetry anomaly
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• Collective Excitations of Quantum Anomalous Hall Ferromagnets in Twisted Bilayer Graphene
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• Quantum anomalous Hall effect in ferromagnetic transition metal halides
• Odd-even layer-number effect and layer-dependent magnetic phase diagrams in MnBi2Te4
• Spontaneous Strains and Gap in Graphene on Boron Nitride
• Antiferromagnetic Topological Insulator MnBi2Te4: Synthesis and Magnetic properties
• Quantum Anomalous Hall Effects in Graphene from Proximity-Induced Uniform and Staggered Spin-Orbit and Exchange Coupling
• Universal Scaling of Quantum Anomalous Hall Plateau Transition
• Topological electronic structure and intrinsic magnetization in MnBi${}_4$Te${}_7$: a Bi${}_2$Te${}_3$-derivative with a periodic Mn sublattice
• Mn-rich MnSb2Te4: A topological insulator with magnetic gap closing at high Curie temperatures of 45-50 K
• A Unified Model for Two Localisation Problems: Electron States in Spin-Degenerate Landau Levels, and in a Random Magnetic Field
• Prediction of a quantum anomalous Hall state in Co decorated silicene
• Theory of Orbital Magnetization in Solids
• Quantum anomalous Hall effect driven by magnetic proximity coupling in all-telluride based heterostructure
• Surface-edge state and half quantized Hall conductance in topological insulators
• Chemical potential dependent gap-opening at the Dirac surface states of Bi2Se3 induced by aggregated substitutional Cr atoms
• Observation of the zero Hall plateau in a quantum anomalous Hall insulator
• A-type Antiferromagnetic order in MnBi4Te7 and MnBi6Te10 single crystals
• Chern insulators from heavy atoms on magnetic substrates
• Site Mixing for Engineering Magnetic Topological Insulators
• Large Anomalous Hall Effect in Topological Insulators with Proximitized Ferromagnetic Insulators
• Crystal and magnetic structures of magnetic topological insulators MnBi${}_2$Te${}_4$ and MnBi${}_4$Te${}_7$
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• Anomalous Edge Transport in the Quantum Anomalous Hall State
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• Theory of the Three Dimensional Quantum Hall Effect in Graphite
• Even-Odd Layer-Dependent Anomalous Hall Effect in Topological Magnet MnBi2Te4 Thin Films
• Intrinsic axion insulating behavior in antiferromagnetic MnBi${}_6$Te${}_{10}$
• Valley-Polarized Quantum Anomalous Hall State in Moiré MoTe${}_2$/WSe${}_2$ Heterobilayers
• Magnetic imaging of antiferromagnetic domain walls
• Scaling of the Quantum Anomalous Hall Effect as an Indicator of Axion Electrodynamics
• Experimental Verification of Van Vleck Nature of Long-Range Ferromagnetic Order in Vanadium-Doped Three-Dimensional Topological Insulator Sb${}_2$Te${}_3$
• Voltage-Controlled Magnetic Reversal in Orbital Chern Insulators
• Functionalized Bismuth Films: Giant Gap Quantum Spin Hall and Valley-Polarized Quantum Anomalous Hall States
• Magnetic topological insulator MnBi6Te10 with zero-field ferromagnetic state and gapped Dirac surface states
• Moiré Commensurability and the Quantum Anomalous Hall Effect in Twisted Bilayer Graphene on Hexagonal Boron Nitride
• A mechanism of $\frac{e^2}{2h}$ conductance plateau without 1D chiral Majorana fermions
• Magnetic-field-induced robust zero Hall plateau state in MnBi${}_2$Te${}_4$ Chern insulator
• Emerging chiral edge states from the confinement of a magnetic Weyl semimetal in Co${}_3$Sn${}_2$S${}_2$
• Experimental observation of the gate-controlled reversal of the anomalous Hall effect in the intrinsic magnetic topological insulator MnBi2Te4 device
• Direct evidence of ferromagnetism in a quantum anomalous Hall system
• Quantum Anomalous Hall Effect in Magnetically Doped InAs/GaSb Quantum Wells
• Intrinsic magnetic topological insulators
• Large discrete jumps observed in the transition between Chern states in a ferromagnetic Topological Insulator
• Orbital Magnetization as a Local Property
• Zero-field quantum anomalous Hall metrology as a step towards a universal quantum standard unit system
• Disorder-induced half-integer quantized conductance plateau in quantum anomalous Hall insulator-superconductor structures
• Distinct Topological Surface States on the Two Terminations of MnBi${}_4$Te${}_7$
• Observation of the quantum-anomalous-Hall insulator to Anderson insulator quantum phase transition and its scaling behavior
• Topological Spin Texture in a Quantum Anomalous Hall Insulator
• Universal gapless Dirac cone and tunable topological states in (MnBi${}_2$Te${}_4$)${}_m$(Bi${}_2$Te${}_3$)${}_n$ heterostructures
• Electric control of a canted-antiferromagnetic Chern insulator
• Native Defects in Antiferromagnetic Topological Insulator MnBi${}_2$Te${}_4$
• Topological Phases in AB-Stacked MoTe${}_2$/WSe${}_2$: ${\mathbb{Z}}_2$ Topological Insulators, Chern Insulators, and Topological Charge Density Waves
• Persistent gapless surface states in MnBi2Te4/Bi2Te3 superlattice antiferromagnetic topological insulator
• Magnetized Topological Insulator Multilayers
• Quasi-one-dimensional Quantum Anomalous Hall Systems as New Platforms for Scalable Topological Quantum Computation
• Quantum anomalous Hall effect from inverted charge transfer gap
• Exciton band topology in spontaneous quantum anomalous Hall insulators: applications to twisted bilayer graphene
• Crossover from 2D ferromagnetic insulator to wide bandgap quantum anomalous Hall insulator in ultra-thin MnBi2Te4
• Pseudospin Order in Monolayer, Bilayer, and Double-Layer Graphene
• Theory of the Dirac Half Metal and Quantum Anomalous Hall Effect in Mn Intercalated Epitaxial Graphene
• Quantum Spin Hall and Quantum Anomalous Hall States Realized in Junction Quantum Wells
• Evidence of orbital ferromagnetism in twisted bilayer graphene aligned to hexagonal boron nitride
• Chern insulator at a magnetic rocksalt interface
• Unconventional topological phase transition in two-dimensional systems with space-time inversion symmetry
• Current-driven instability of quantum anomalous Hall effect in ferromagnetic topological insulators
• Magnetic Properties and Electronic Structure of Magnetic Topological Insulator MnBi${}_2$Se${}_4$
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• Chiral transport along magnetic domain walls in the quantum anomalous Hall effect
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• Valley-polarized quantum anomalous Hall phases and tunable topological phase transitions in half-hydrogenated Bi honeycomb monolayers
• Using nonlocal surface transport to identify the axion insulator
• Time Reversal Symmetric Topological Exciton Condensate in Bilayer HgTe Quantum Wells
• Integer and Fractional Quantum Anomalous Hall Effect in a Strip of Stripes Model
• Any Axion Insulator Must be a Bulk Three-Dimensional Topological Insulator
• Routes to realize the axion-insulator phase in MnBi${}_2$Te${}_4$(Bi${}_2$Te${}_3$)${}_n$ family: a perspective
• Quantum phase transition of chiral Majorana fermion in the presence of disorder
• Intrinsic quantum anomalous Hall phase induced by proximity in germanene/Cr${}_2$Ge${}_2$Te${}_6$ van der Waals heterostructure
• Origins of electronic bands in antiferromagnetic topological insulator MnBi${}_2$Te${}_4$
• Quantum anomalous Hall multilayers grown by molecular beam epitaxy
• Coexisting of Quantum Hall and Quantum Anomalous Hall phases in Disordered $\mathrm{MnB}{\mathrm{i}}_2\mathrm{T}{\mathrm{e}}_4$
• Topological response of the anomalous Hall effect in MnBi2Te4 due to magnetic canting
• Hybridization-Induced Gapped and Gapless States on the Surfaces of Magnetic Topological Insulators
• Mapping the Dirac fermions in intrinsic antiferromagnetic topological insulators (MnBi${}_2$Te${}_4$)(Bi${}_2$Te${}_3$)${}_n$ (n=0, 1)
• Gate tuning from exciton superfluid to quantum anomalous Hall in van der Waals heterobilayer
• Anderson Localization from Berry-Curvature Interchange in Quantum Anomalous Hall System
• Unraveling quantum Hall breakdown in bilayer graphene with scanning gate microscopy
• Non-equilibrium breakdown of quantum Hall state in graphene
• Current-induced breakdown of the quantum anomalous Hall effect
• Effects of Domain Walls in Quantum Anomalous Hall Insulator/Superconductor Heterostructures
• Time-Reversal Symmetry-Breaking Nematic Insulators near Quantum Spin Hall Phase Transitions
• Effects of random domains on the zero Hall plateau in quantum anomalous Hall effect
• Impurity states in the magnetic topological insulator V:(Bi,Sb)${}_2$Te${}_3$
• Critical Behavior and Universal Signature of an Axion Insulator State
• The Quantum Anomalous Hall Majorana Platform
• Direct evidence of ferromagnetism in MnSb2Te4
• Topological quantum phase transition in magnetic topological insulator upon magnetization rotation
• Experimental evidence on the dissipationless transport of chiral edge state of the high-field Chern insulator in MnBi2Te4 nanodevices
• Observation of Interfacial Antiferromagnetic Coupling between Magnetic Topological Insulator and Antiferromagnetic Insulator
• Zero Magnetic Field Plateau Phase Transition in Higher Chern Number Quantum Anomalous Hall Insulators
• Perspective: 3D quantum Hall effect
• Delocalization Transition of Disordered Axion Insulator
• Adsorption-controlled growth of MnTe(Bi2Te3)n by molecular beam epitaxy exhibiting stoichiometry-controlled magnetism
• Observation of superparamagnetism in coexistence with quantum anomalous Hall C=$\pm$1 and C=0 Chern states
• A metallic phase in quantum Hall systems
• Electrically tunable spin polarization of chiral edge modes in a quantum anomalous Hall insulator
• Recent advancements in the study of intrinsic magnetic topological insulators and magnetic Weyl semimetals
• Mass acquisition of Dirac fermions in Cr-doped topological insulator Sb2Te3 films
• Quantum Oscillations in the Field-induced Ferromagnetic State of MnBi${}_{2-x}$Sb${}_x$Te${}_4$
• Electronic Fingerprints of Cr and V Dopants in Topological Insulator Sb2Te3
• Controlling a quantum point junction on the surface of an antiferromagnetic topological insulator
• Gate-Tunable Quantum Anomalous Hall Effects in MnBi${}_2$Te${}_4$ Thin Films
• Chromium-Induced Ferromagnetism with Perpendicular Anisotropy in Topological Crystalline Insulator SnTe (111) Thin Films
• Ferromagnetic van der Waals compound MnSb${}_{1.8}$Bi${}_{0.2}$Te${}_4$
• Superexchange dominates in magnetic topological insulators
• Distinct quantum anomalous Hall ground states induced by magnetic disorders
• Domain Wall in a Quantum Anomalous Hall Insulator as a Magnetoelectric Piston
• Quantum Anomalous Parity Hall Effect in Magnetically Disordered Topological Insulator Films
• Demonstration of Dissipative Quasihelical Edge Transport in Quantum Anomalous Hall Insulators
• Quantum anomalous Hall effect in metal-bis(dithiolene), magnetic properties, doping and interfacing graphene
• Non-local sidewall response and deviation from exact quantization of the topological magnetoelectric effect in axion-insulator thin films
• Spin fluctuations in quantized transport of magnetic topological insulators
• Realization of Quantum Anomalous Hall Effect in Graphene from \textit{n}-\textit{p} Codoping Induced Stable Atomic-Adsorption
• Influences of the dissipative topological edge state on quantized transport in MnBi2Te4
• Field-effect Modulation of Anomalous Hall Effect in Diluted Ferromagnetic Topological Insulator Epitaxial Films
• Current scaling of the topological quantum phase transition between a quantum anomalous Hall insulator and a trivial insulator
• In-plane magnetic field induced density wave states near quantum spin Hall phase transitions
• Electrically-driven domain wall motion in a ferromagnetic Kagome lattice
• Spin-textured Chern bands in AB-stacked transition metal dichalcogenide bilayers

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• Signature of Parity Anomaly: Crossover from One Half to Integer Quantized Hall Conductance in a Finite Magnetic Field
• Feature-energy duality of topological boundary states in multilayer quantum spin Hall insulator
• Interplay of Altermagnetic Order and Wilson Mass in the Dirac Equation: Helical Edge States without Time-Reversal Symmetry
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• Quantum Anomalous Hall Effect in Ferromagnetic Metals
• Berry Curvature Dipole and its Strain Engineering in Layered Phosphorene
• Scaling of the Integrated Quantum Metric in Disordered Topological Phases
• Layer-Dependent Quantum Anomalous Hall Effect in Rhombohedral Graphene
• Evolution of Dopant-Concentration-Induced Magnetic Exchange Interaction in Topological Insulator Thin Films
• Higher-order topological insulator in a modified Haldane-Hubbard model
• Intrinsic nonlinear Hall effect in two-dimensional honeycomb topological antiferromagnets
• Two-dimensional Dirac fermions in a mass superlattice
• Engineering axion insulator phase in superlattices with inversion symmetry breaking
• Atomic-Layer-Controlled Magnetic Orders in MnBi2Te4-Bi2Te3 Topological Heterostructures
• Orbital origin of fourfold anisotropic magnetoresistance in Dirac materials
• Quantum computing topological invariants of two-dimensional quantum matter
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• Topological $p_x+i{p}_y$ inter-valley coherent state in Moiré MoTe${}_2$/WSe${}_2$ heterobilayers
• Electrical control of intrinsic nonlinear Hall effect in antiferromagnetic topological insulator sandwiches
• Observation of floating surface state in obstructed atomic insulator candidate NiP${}_2$
• Intrinsic Spin Nernst Effect and Chiral Edge Modes in van der Waals Ferromagnetic Insulators: Dzyaloshinskii-Moriya vs. Kitaev Interactions
• Probing the Topology of Fermionic Gaussian Mixed States with {U(1)} symmetry by Full Counting Statistics
• Optical Switching of Moiré Chern Ferromagnet
• Evidence for Half-Quantized Chiral Edge Current in a C = 1/2 Parity Anomaly State
• Dissipation and dephasing in quantum Hall interferometers
• 5d orbital Induced Room Temperature Quantum Anomalous Hall Effect in TbCl
• Dissipation Enhanced Unidirectional Transport in Topological Systems
• Symmetry-driven anisotropic coupling effect in antiferromagnetic topological insulator: Mechanism for high-Chern-number quantum anomalous Hall state
• Antiferromagnetic Chern insulator with large charge gap in heavy transition-metal compounds
• Three-Dimensional Quantum Anomalous Hall Effect in Magnetic Topological Insulator Trilayers of Hundred-Nanometer Thickness
• Edge supercurrent in Josephson junctions based on topological materials
• Engineering Plateau Phase Transition in Quantum Anomalous Hall Multilayers
• Distinguishing Surface and Bulk Electromagnetism via Their Dynamics in an Intrinsic Magnetic Topological Insulator
• Topological magnons and domain walls in twisted bilayer MoTe${}_2$
• Chiral edge state coupling theory of transport in quantum anomalous Hall insulators
• Proximity-induced nonlinear magnetoresistances on topological insulators
• Néel Spin-Orbit Torque in Antiferromagnetic Quantum Spin and Anomalous Hall Insulators
• Observation of Temperature Independent Anomalous Hall Effect in Thin Bismuth from Near Absolute Zero to 300 K Temperature
• Non-Adiabatic Effect in Topological and Interacting Charge Pumping
• Intrinsic antiferromagnetic topological insulator and axion state in V2WS4
• Thermal Hall conductivity of a valence bond solid phase in the square lattice $J_1$-$J_2$ antiferromagnet Heisenberg model with a Dzyaloshinskii-Moriya interaction
• CdTe and HgTe doped with V, Cr, and Mn -- prospects for the quantum anomalous Hall effect
• Experimentally Motivated Order of Length Scales Affect Shot Noise
• Quantum Anomalous Hall Effect in $d$-Electron Kagome Systems: Chern Insulating States from Transverse Spin-Orbit Coupling
• Considerations for extracting moiré-level strain from dark field intensities in transmission electron microscopy
• Three-dimensional quantum anomalous Hall effect in Weyl semimetals
• Environmental Doping-Induced Degradation of the Quantum Anomalous Hall Insulators
• Tight-binding theory of spin-spin interactions, Curie temperatures, and quantum Hall effects in topological (Hg,Cr)Te in comparison to non-topological (Zn,Cr)Te, and (Ga,Mn)N
• Defect Engineering for Stabilizing Magnetic and Topological Properties in Mn(Bi1-xSbx)2Te4
• Nature of field-induced transitions and hysteretic magnetoresistance in non-collinear antiferromagnet EuIn2As2
• Interfacing Quantum Spin Hall and Quantum Anomalous Hall insulators: Bi bilayer on MnBi${}_2$Te${}_4$-family materials
• Spectroscopy and topological properties of a Haldane light system
• Quantum theory of the magnetochiral anisotropy coefficient in ZrTe${}_5$
• Quantum Hall criticality in an amorphous Chern insulator
• Topologically-enhanced exciton transport
• Magneto transport and first principle study of strong topological insulator gray Arsenic
• Anomalous Fraunhofer-like patterns in quantum anomalous Hall Josephson junction
• Hermitian and non-Hermitian topology in active matter
• High-Chern-number Quantum anomalous Hall insulators in mixing-stacked MnBi${}_2$Te${}_4$ thin films
• Polariton Chern Bands in 2D Photonic Crystals Beyond Dirac Cones
• Superlattice induced electron percolation within a single Landau level
• Half-Quantized Hall Metal and Marginal Metal in Disordered Magnetic Topological Insulators
• Conductance asymmetry in proximitized magnetic topological insulator junctions with Majorana modes
• Anisotropic planar Hall effects in Bi${}_2$Se${}_3$/EuS interfaces: Deciphering the role of proximity induced spin canting and topological spin texture
• Chirality-tunable non-linear Hall effect
• Density-Dependent Gauge Field with Raman Lattices
• Magnetization-free quantum anomalous Hall effect in altermagnetic weak topological insulators
• Ferroelectric switching of quantum anomalous Hall effects in MnBi2Te4 films
• Interlayer Coupling-Induced Quantum Phase Transition in Quantum Anomalous Hall Multilayers
• Interface-Induced Stability of Nontrivial Topological Spin Textures: Unveiling Room-Temperature Hopfions and Skyrmions
• Identifying topological excitonic insulators via bulk-edge correspondence
• Spin texture tunability in Mn${}_{1-x}$Ge${}_x$Bi${}_2$Te${}_4$ through varying Ge Concentration
• Antiferromagnetic order in a layered magnetic topological insulator MnBi${}_2$Se${}_4$ probed by resonant soft x-ray scattering
• Absence of Parity Anomaly in Massive Dirac Fermions on a Lattice
• Designer spin-orbit superlattices: symmetry-protected Dirac cones and spin Berry curvature in two-dimensional van der Waals metamaterials
• In-plane magnetization orientation driven topological phase transition in OsCl${}_3$ monolayer
• Revisiting magnetic exchange interactions in transition metal doped Bi${}_2$Se${}_3$ using DFT+MFT
• Quantum Hall and Light Responses in a 2D Topological Semimetal
• Quantum Geometric Origin of Orbital Magnetization
• Spectroscopic evidence of intra-unit-cell charge redistribution in charge-neutral magnetic topological insulator Sb-doped MnBi6Te10
• The electronic structure of intrinsic magnetic topological insulator MnBi2Te4 quantum wires
• Chiral edge transport along domain walls in magnetic topological insulator nanoribbons
• Chiral excitonic systems in twisted bilayers from Förster coupling and unconventional excitonic Hall effects
• Antiferromagnetic topological insulators in heavy-fermion systems
• Quantum-anomalous-Hall current patterns and interference in thin slabs of chiral topological superconductors
• Charge transport in chiral solids as a possible tool in search of dark matter signals
• Topological insulators and geometry of vector bundles
• Laser-induced topological phases in monolayer amorphous carbon
• Moire Engineering of Cooper-Pair Density Modulation States
• Relationship among Structural, Disordered, Magnetism and Band Topology in MnSb2Te4(Sb2Te3)n Family
• Orbital magnetization as the origin of the nonlinear Hall effect
• In-plane gate induced transition asymmetry of spin-resolved Landau levels in InAs-based quantum wells
• Tunable topological phase in 2D ScV${}_6$Sn${}_6$ kagome material
• Nucleation and Antiphase Twin Control in Bi${}_2$Se${}_3$ via Step-Terminated Al${}_2$O${}_3$ Substrates
• Theory of thermopolarization effect
• Mott transition and correlation effects on strictly localized states in an octagonal quasicrystal
• Chiral edge plasmons in quantum anomalous Hall insulators
• Substrate Effect on Electronic Band Structure and Topological Property in Monolayer V2O3 Magnetic Topological Insulator
• Floquet-Engineered Chern Insulator in two-dimensional $d_{x^2-y^2}$-Wave Altermagnets
• Proximity Magnetism in Mn(Bi,Sb)2Te4-(Bi,Sb)2Te3/MnTe Natural Heterostructures
• Extended Haldane Model in The Dice Lattice: Multiple Flat-Band-Induced topological Transitions Revealed
• Quantum anomalous Hall effect with tunable Chern numbers induced by d-wave sublattice-staggered altermagnetism
• Interface controlled Berry phase and anisotropic spin-charge conversion in altermagnet-topological insulator bilayers
• Identifying Anyonic Topological Order in Fractional Quantum Anomalous Hall Systems
• Chromium chalcohalide Janus monolayer ferromagnets with perpendicular magnetic anisotropy and high Curie temperature
• Conductance oscillations of antiferromagnetic layer tunnel junctions
• Topological spin-up triplet excitonic condensation in two-dimensional electron-hole systems
• Multi-tunneling effect of nonreciprocal Landau-Zener tunneling: Insights from DC field responses
• Laughlin charge pumping from interplay of chiral Dirac and chiral Majorana modes
• Higher-order Topological Knots and the classification of non-Hermitian lattices under $C_n$ symmetry
• Enhancement of Curie Temperature in Ferromagnetic Insulator-Topological Insulator Heterostructures
• Breakdown of the Wiedemann-Franz law in an interacting quantum Hall metamaterial
• Strong Field Optical Hall Effect in 2D Weyl Semimetal
• Relativistic Spin-Lattice Interaction Compatible with Discrete Translation Symmetry in Solids
• Many-body description of two-dimensional van der Waals ferroelectric $\alpha -$In${}_2$Se${}_3$
• Interlayer Exchange Coupling-Induced Critical-Metal-to-Insulator Phase Transition in Quantum Anomalous Hall Insulators
• Band engineering aided by topological edge state proximity effects: Inducing anti-chirality in graphene
• Phaseless auxiliary-field quantum Monte Carlo method with spin-orbit coupling
• Quantum Christoffel Nonlinear Magnetization
• Simple model for the gap in the surface states of the antiferromagnetic topological insulator MnBi${}_2$Te${}_4$
• High-Temperature Quantum Anomalous Hall Effect in Buckled Honeycomb Antiferromagnets
• Sb doping effect on transport behavior in the topological insulator Bi2Se3
• Disordered Parity Anomalous Semimetal
• Chiral Phonons Arising From Chirality-Selective Magnon-Phonon Coupling
• Electrostatic gating and the interference of chiral Majoranas in thin slabs of magnetic topological insulators
• Magnetically tuned topological phase in graphene nanoribbon heterojunctions
• Floquet first- and higher-order topological superconductors: A review
• Elastic Constants and Bending Rigidities from Long-Wavelength Perturbation Expansions
• Anomalous Landau levels and quantum oscillation in rotation-invariant insulators
• Chern insulators in two and three dimensions: A global perspective
• Spin adaptation of the cumulant expansions of reduced density matrices
• Direct observation of interfacial exchange coupling in a magnetic tunnel junction through spin-polarized quasiparticle interference
• Quantum anomalous Hall effect in chiral semimetals
• Designing Magnetic Topological Insulator Trilayers for Highly-Efficient Spin-Orbit Torque Switching