Spin Anisotropy and Quantum Hall Effect in the Kagome Lattice - Chiral Spin State based on a Ferromagnet-

Abstract

A ferromagnet with spin anisotropies on the 2D Kagome lattice is theoretically studied. This is a typical example of the flat-band ferromagnet. The Berry phase induced by the tilting of the spins opens the band gap and quantized Hall conductance σ_{xy}=\pm e^2/h is realized without external magnetic field. This is the most realistic chiral spin state based on the ferromagnetism. We also discuss the implication of our results to anomalous Hall effect observed in the metallic pyrochlore ferromagnets R_2Mo_2O_7(R=Nd, Sm, Gd).

4 pages, REVTEX, 4 figures

References in corpus (2)

• Berry Phase Theory of Anomalous Hall Effect: Application to Colossal Magnetoresistance Manganites
• Magnetotransport in manganites and the role of quantal phases II: Experiment

Cited by in corpus (365)

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• Universal Intrinsic Spin-Hall Effect
• Giant anomalous Hall effect in a ferromagnetic Kagome-lattice semimetal
• High temperature fractional quantum Hall states
• Fractional quantum Hall states at zero magnetic field
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• Topological Hall effect and Berry phase in magnetic nanostructures
• Theory of Thermal Hall Effect in Quantum Magnets
• Topological kagome magnets and superconductors
• Orbital magnetization in periodic insulators
• Exponential localization of Wannier functions in insulators
• Scalar spin chirality and quantum Hall effect on a triangular lattice
• Topological Nature of Anomalous Hall Effect in Ferromagnet
• Skyrmions and Anomalous Hall Effect in a Dzyloshinskii-Moriya Spiral Magnet
• Giant and anisotropic many-body spin-orbit tunability in a strongly correlated kagome magnet
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• Orbital ferromagnetism and anomalous Hall effect in antiferromagnets on distorted fcc lattice
• Strong, anisotropic anomalous Hall effect and spin Hall effect in chiral antiferromagnetic compounds Mn${}_{3}X$ ($X$ = Ge, Sn, Ga, Ir, Rh and Pt)
• Orbital magnetization in crystalline solids: Multi-band insulators, Chern insulators, and metals
• Fractional Quantum Hall Effect of Hard-Core Bosons in Topological Flat Bands
• Photoinduced transition between conventional and topological insulators in two-dimensional electronic systems
• Chiral flux phase in the Kagome superconductor AV${}_3$Sb${}_5$
• Spin chirality on a two-dimensional frustrated lattice
• Correlation-driven chiral superconductivity and chiral spin order in doped kagome lattice
• Intrinsic Quantum Anomalous Hall Effect in the Kagome Lattice Cs2LiMn3F12
• Quantized Anomalous Hall Effect in Two-Dimensional Ferromagnets - Quantum Hall Effect from Metal -
• Chiral spin liquid and emergent anyons in a Kagome lattice Mott insulator
• Topological Phases of Sound and Light
• Kagome superconductors AV${}_3$Sb${}_5$ (A=K, Rb, Cs)
• Classification of atomic-scale multipoles under crystallographic point groups and application to linear response tensors
• Effective bilinear-biquadratic model for noncoplanar ordering in itinerant magnets
• Chirality driven anomalous Hall effect in weak coupling regime
• Novel magnetic states and nematic spin chirality in the kagome lattice metal YMn${}_6$Sn${}_6$
• Interaction-driven topological insulators on the kagome and the decorated honeycomb lattices
• Quantum Materials for Spin and Charge Conversion
• Spin singlet formation in MgTi${}_2$O${}_4$: evidence of a helical dimerization pattern
• Quantized Anomalous Hall Effects in Skyrmion Crystal
• Quantum states and intertwining phases in kagome materials
• Rare earth engineering in RMn${}_6$Sn${}_6$ topological kagome magnets
• Topological surface states in three-dimensional magnetic insulators
• Anomalous Hall effect of ferromagnetic Fe3Sn2 single crystal with geometrically frustrated kagome lattice
• Field-Selective Anomaly and Chiral Mode Reversal in Type-II Weyl Materials
• Hidden Multiple-spin Interactions as an Origin of Spin Scalar Chiral Order in Frustrated Kondo Lattice Models
• General theory of Josephson Diodes
• Quantum anomalous Hall effect with tunable Chern number in magnetic topological insulator film
• Isolated Flat Bands and Spin-1 Conical Bands in Two-Dimensional Lattices
• Emergent electromagnetism in solids
• Anomalous Hall Effect and Skyrmion Number in Real- and Momentum-space
• Spin Space Groups: Full Classification and Applications
• Topological spin waves in the atomic-scale magnetic skyrmion crystal
• Topological states on the breathing kagome lattice
• Chiral Bogoliubons in Nonlinear Bosonic Systems
• Topological insulators and fractional quantum Hall effect on the ruby lattice
• Three-sublattice Skyrmion crystal in the antiferromagnetic triangular lattice
• Topological Nernst effect of the two-dimensional skyrmion lattice
• Theory of Orbital Magnetization in Solids
• Topological spin crystals by itinerant frustration
• Topological phase transitions and chiral inelastic transport induced by the squeezing of light
• Unconventional Anomalous Hall Effect in the Metallic Triangular-Lattice Magnet PdCrO2
• Anomalous Hall effect in $\kappa$-type organic antiferromagnets
• Vortex Crystals with Chiral Stripes in Itinerant Magnets
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• Spin Hall effect emerging from a chiral magnetic lattice without spin-orbit coupling
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• Noncoplanar multiple-$Q$ spin textures by itinerant frustration: Effects of single-ion anisotropy and bond-dependent anisotropy
• The study of magnetic topological semimetals by first principles calculations
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• Flat Band Quantum Scar
• Large anomalous Hall effect in the kagome ferromagnet LiMn${}_6$Sn${}_6$
• Bose-Einstein Condensates in Spin-Orbit Coupled Optical Lattices: Flat Bands and Superfluidity
• Evidence of a hidden flux phase in the topological kagome metal CsV${}_3$Sb${}_5$
• Anomalous Hall Effect in Kagome Ferrimagnet GdMn${}_6$Sn${}_6$
• Unconventional Topological Hall Effect in Skyrmion Crystals Caused by the Topology of the Lattice
• Phases of correlated spinless fermions on the honeycomb lattice
• SU(3) Topology of Magnon-Phonon Hybridization in 2D Antiferromagnets
• Topological Insulators on the Decorated Honeycomb Lattice
• Flat bands in fractal-like geometry
• Quantum topological Hall effect and noncoplanar antiferromagnetism in K${}_{0.5}$RhO${}_2$
• Emergent Electromagnetic Induction and Adiabatic Charge Pumping in Weyl Semimetals
• Essential role of anisotropic magnetic dipole in anomalous Hall effect
• Noncommutative geometry and nonabelian Berry phase in the wave-packet dynamics of Bloch electrons
• Giant anomalous Hall effect in quasi-two-dimensional layered antiferromagnet Co${}_{1/3}$NbS${}_2$
• Novel magnetic orderings in the kagome Kondo-lattice model
• Low-field anomalous magnetic phase in the kagome-lattice shandite Co3Sn2S2
• Field-Direction Sensitive Skyrmion Crystals in Cubic Chiral Systems: Implication to $4f$-Electron Compound EuPtSi
• Spin Chirality Fluctuation and Anomalous Hall Effect in Itinerant Ferromagnets
• Anomalous thermoelectric effects and quantum oscillations in the kagome metal CsV${}_3$Sb${}_5$
• Electron states for gapped pseudospin-1 fermions in the field of charged impurity
• Controllable chirality-induced geometrical Hall effect in a frustrated highly-correlated metal
• Anomalous electrical magnetochiral effect by chiral spin fluctuation
• Field-linear anomalous Hall effect and Berry curvature induced by spin chirality in the kagome antiferromagnet Mn3Sn
• Double perovskite heterostructures: Magnetism, Chern bands, and Chern insulators
• Effects of Crystal Structure and the On-Site Coulomb Interactions on the Electronic and Magnetic Structure of Pyrochlores $A_2$Mo${}_2$O${}_7$ (A= Y, Gd, and Nd)
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• Systematic analysis method for nonlinear response tensors
• Anomalous Hall effect as a probe of the chiral order in spin glasses
• Berry phase in Magnetic Superconductors
• Nontrivial topological flat bands in a diamond-octagon lattice geometry
• Chirality waves in two-dimensional magnets
• Scalar Chiral Spin-1/2 Order on Kagome Lattices in Nd3Sb3Mg2O14
• Encoding orbital angular momentum of light in magnets
• Topological protection of bound states against the hybridization
• Haydeeite: a spin-1/2 kagome ferromagnet
• Anomalous Topological Active Matter
• Topological phases in layered pyrochlore oxide thin films along the [111] direction
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• Interplay between carrier and impurity concentrations in annealed Ga${}_{1-x}$Mn${}_x$As intrinsic anomalous Hall Effect
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• Quantum Interactions in Topological R166 Kagome Magnet
• Kagome quantum anomalous Hall effect with high Chern number and large band gap
• Fractional Chern insulator on a triangular lattice of strongly correlated $t_{2g}$ electrons
• Theory of giant skew scattering by spin cluster
• Quasicrystalline Chern Insulators
• Quantum Anomalous Hall Effect in Magnetic Doped Topological Insulators and Ferromagnetic Spin-Gapless Semiconductors -- A Perspective Review
• Switchable Quantum Anomalous Hall state in a strongly frustrated lattice magnet
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• Haldane Quantum Hall Effect for Light in a Dynamically Modulated Array of Resonators
• Anomalous Hall Crystals in Rhombohedral Multilayer Graphene II: General Mechanism and a Minimal Model
• Anomalous Hall effect in antiferromagnetic perovskites
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• Spin-flux phase in the Kondo lattice model with classical localized spins
• Magnetic structure of the conductive triangular-lattice antiferromagnet PdCrO2
• Anomalous Hall effect in distorted kagome magnets (Nd, Sm)Mn${}_6$Sn${}_6$
• Exceptionally large anomalous Hall effect due to anticrossing of spin-split bands in the antiferromagnetic half-Heusler compound TbPtBi
• Magnetoelectric effect and orbital magnetization in skyrmion crystals: Detection and characterization of skyrmions
• A Kagome Map of Spin Liquids: from XXZ to Dzyaloshinskii-Moriya Ferromagnet
• Adiabatic Approximation and Aharonov-Casher Bands in Twisted Homobilayer TMDs
• Narrowing of topological bands due to electronic orbital degrees of freedom
• Anomalous Hall Effect due to the spin chirality in the Kagomé lattice
• Stabilization mechanisms of magnetic skyrmion crystal and multiple-$Q$ states based on momentum-resolved spin interactions
• Spin-Orientation Dependent Topological States in Two-Dimensional Antiferromagnetic NiTl${}_2$S${}_4$ Monolayers
• Unconventional anomalous Hall effect from antiferromagnetic domain walls of Nd2Ir2O7 thin films
• Dynamical Study of the Origin of the Charge Density Wave in $A$V${}_3$Sb${}_5$ ($A=$K, Rb, Cs) Compounds
• Symmetry analysis with spin crystallographic groups: Disentangling effects free of spin-orbit coupling in emergent electromagnetism
• Spontaneous quantum Hall effect via thermally induced quadratic Fermi point
• Chiral spin pairing in helical magnets
• Chiral edge modes in evolutionary game theory: a kagome network of rock-paper-scissors
• Corner states of topological fullerenes
• Robust Kagome Electronic Structure in Topological Quantum Magnets XMn6Sn6 (X = Dy, Tb, Gd, Y)
• Multiferroic oxides-based flash-memory and spin-field-effect transistor
• Scalar chiral ground states of spin ladders with four-spin exchanges
• Low-Energy Excitations of Skyrmion Crystals in a Centrosymmetric Kondo-Lattice Magnet: Decoupled Spin-Charge Excitations and Nonreciprocity
• Quantum Anomalous Hall effect in graphene coupled to skyrmions
• Quantum Anomalous Hall Effect in Kagome Ice
• Chiral RKKY interaction in Pr2Ir2O7
• Study of the topological Hall effect on simple models
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• 3D Dirac Electrons on a Cubic Lattice with Noncoplanar Multiple-Q Order
• Raman scattering study of anomalous charge-, spin-, and lattice-dynamics in the charge-ordered phase of ${\mathbf{Bi}}_{1-x}{\mathbf{Ca}}_x{\mathbf{MnO}}_3$ ($x>0.5$)
• Observation of topological gravity-capillary waves in a water wave crystal
• Skyrmion-size dependence of the topological Hall effect: A real-space calculation
• Phase diagram of the 1/3-filled extended Hubbard model on the Kagome lattice
• Studies of the Anomalous Hall Effect and Magnetic Structure of Nd2Mo2O7 -Test of the Chirality Mechanism-
• Spin Hall utilizing U(1) and SU(2) gauge fields
• Ab initio theory of the Gibbs free energy and a hierarchy of local moment correlation functions in itinerant electron systems: The magnetism of Mn${}_3$A materials class
• Hidden mechanism for embedding the flat bands of Lieb, kagome, and checkerboard lattices in other structures
• Superconducting, topological and transport properties of kagome metals CsTi${}_3$Bi${}_5$ and RbTi${}_3$Bi${}_5$
• Engineering chiral density waves and topological band structures by multiple-$Q$ superpositions of collinear up-up-down-down orders
• Valley symmetry breaking and gap tuning in graphene by spin doping
• Anomalous quasiparticles in the zone center electron pocket of the kagomé ferromagnet Fe3Sn2
• Noncommutative quantum mechanics and skew scattering in ferromagnetic metals
• Neutron Scattering Studies of Pyrochlore Compound Nd2Mo2O7 in Magnetic Field
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• Signatures of lattice geometry in quantum and topological Hall effect
• Double-$Q$ Chiral Stripe in the $d$-$p$ Model with Strong Spin-Charge Coupling
• Excited quantum Hall effect: enantiomorphic flat bands in a Yin-Yang Kagome lattice
• Severe Dirac Mass Gap Suppression in Sb_2Te_3-based Quantum Anomalous Hall Materials
• First-principles calculation of anomalous Hall and Nernst conductivity by local Berry phase
• Systematic construction of topological flat-band models by molecular-orbital representation
• Complex Orbital State Stabilized by Strong Spin-Orbit Coupling in a Metallic Iridium Oxide IrO${}_2$
• Quantum Hall ice
• Dynamic transition and Galilean relativity of current-driven skyrmions
• Spontaneous Spatial Inversion Symmetry Breaking and Spin Hall Effect in a Spin-ice Double-exchange Model on a Pyrochlore Lattice
• Magnetic Topological Kagome Systems
• Topological phase transition driven by magnetic field and topological Hall effect in an antiferromagnetic skyrmion lattice
• Topological features of Haldane model on a dice lattice: role of flat band on transport properties
• Quantum spin Hall effect and spin-charge separation in a kagome lattice
• Topological winding properties of spin edge states in Kane-Mele graphene model
• Magneto-Transport Properties of Kagome Magnet TmMn${}_6$Sn${}_6$
• Anomalous Hall Effect due to Non-collinearily in Pyrochlore Compounds: Role of Orbital Aharonov-Bohm Effect
• Kagome Flatbands for Coherent Exciton-Polariton Lasing
• Anomalous Hall effect triggered by pressure-induced magnetic phase transition in $\alpha$-Mn
• Topological semimetal-to-insulator phase transition between noncollinear and noncoplanar multiple-Q states on a square-to-triangular lattice
• Essential model parameters for nonreciprocal magnons in multisublattice systems
• The anomalous Hall conductivity due to the vector spin chirality
• Gate-tunable ferromagnetism in a van der Waals magnetic semimetal
• Orbital magnetization and its effects in spin-chiral ferromagnetic Kagome lattice
• Charge density waves in multiple-$Q$ spin states
• Boron Triangular Kagome Lattice with Half-Metallic Ferromagnetism
• Nonreciprocal Transport in Noncoplanar Magnetic Systems without Spin-Orbit Coupling, Net Scalar Chirality, or Magnetization
• Spontaneous formation of kagome network and Dirac half-semimetal on a triangular lattice
• Anomalous Hall effect in weak-itinerant ferrimagnet FeCr${}_2$Te${}_4$
• Chern Insulators on Singular Geometries
• Impurity-induced vector spin chirality and anomalous Hall effect in ferromagnetic metals
• Predicting Large-Chern-Number Phases in a Shaken Optical Dice Lattice
• Antiferromagnetism, $f$-wave and chiral $p$-wave superconductivity in a Kagome lattice with possible application to $s{d}^2$-graphenes
• Crystal Field Levels and Magnetic Anisotropy in the Kagome Compounds $\mathrm{N}{\mathrm{d}}_3\mathrm{S}{\mathrm{b}}_3\mathrm{M}{\mathrm{g}}_2{\mathrm{O}}_{14}$, $\mathrm{N}{\mathrm{d}}_3\mathrm{S}{\mathrm{b}}_3\mathrm{Z}{\mathrm{n}}_2{\mathrm{O}}_{14}$, and $\mathrm{P}{\mathrm{r}}_3\mathrm{S}{\mathrm{b}}_3\mathrm{M}{\mathrm{g}}_2{\mathrm{O}}_{14}$
• Quantum anomaly and geometric phase; their basic differences
• Ferroaxial moment induced by vortex spin texture
• Anyons in integer quantum Hall magnets
• Complex magnetic and spatial symmetry breaking from correlations in kagome flat bands
• Non-coplanar magnetism, topological density wave order and emergent symmetry at half-integer filling of moiré Chern bands
• Topological Hybrids of Magnons and Magnon Bound Pairs
• Geometrical Hall effect and momentum-space Berry curvature from spin-reversed band pairs
• Theoretical investigation of antiferromagnetic skyrmions in a triangular monolayer
• Degenerate and chiral states in the extended Heisenberg model in the kagome lattice
• Colossal enhancement of spin-chirality-related Hall effect by thermal fluctuation
• From frustrated magnetism to spontaneous Chern insulators
• Multiple-$Q$ magnetic orders in Rashba-Dresselhaus metals
• Magneto-optical spectra of an organic antiferromagnet as a candidate for an altermagnet
• Anomalous Hall Effect of Reentrant Spin Glass System Fe1-xAlx (x ~ 0.3)
• Tilted Dirac cones and topological transitions in strained kagome lattices
• Orbital magnetization and its effect in antiferromagnets on the distorted fcc lattice
• Noncollinear magnetic ordering in a frustrated magnet: Metallic regime and the role of frustration
• Skyrmion and vortex crystals in the Hubbard model
• Competition of First-Order and Second-Order Topology on the Honeycomb Lattice
• Ordering phenomena of spin trimers accompanied by large geometrical Hall effect
• Symmetry breaking and fermionic fractional Chern insulator in topologically trivial bands
• Group theory study of the vibrational modes and magnetic order in the topological antiferromagnet MnBi${}_2$Te${}_4$
• Gapped nodal planes drive a large topological Nernst effect in a chiral lattice antiferromagnet
• Magneto-optics induced by the spin chirality in itinerant ferromagnet Nd${}_2$Mo${}_2$O${}_7$
• Quantum Anomalous Hall Effect and Anderson Chern Insulating Regime in Noncollinear Antiferromagnetic 3Q State
• Evolution of ultra-flat band in van der Waals kagome semiconductor Pd3P2(S1-xSex)8
• A simple approach to characterizing band topology in bosonic pairing Hamiltonians
• Topological Green function of interacting systems
• Resonant optical topological Hall conductivity from skyrmions
• Weyl-triplons in SrCu2(BO3)2
• Magnetic orderings from spin-orbit coupled electrons on kagome lattice
• Microscopic Calculation of Spin Torques and Forces
• Itinerant electrons in the Coulomb phase
• Discovering momentum-dependent magnon spin texture in insulating antiferromagnets: Role of the Kitaev interaction
• Collective excitations in chiral Stoner magnets
• Mesoscopic Hall effect driven by chiral spin order
• Squeezing-induced Topological Gap Opening on Bosonic Bogoliubov Excitations
• Spin-orbit coupling in the kagome lattice with flux and time-reversal symmetry
• Orbital-selective effect of spin reorientation on the Dirac fermions in a non-charge-ordered kagome ferromagnet Fe${}_3$Ge
• The role of electron correlations in the electronic structure of putative Chern magnet TbMn${}_6$Sn${}_6$
• Electron transport through antiferromagnetic spin textures and skyrmions in a magnetic tunnel junction
• Antiferromagnetic chiral spin density wave and strain-induced Chern insulator in the square lattice Hubbard model with frustration
• Electrically-driven domain wall motion in a ferromagnetic Kagome lattice
• Disordered topological graphs enhancing nonlinear phenomena
• Emergent chiral spin ordering and anomalous Hall effect of kagome lattice at 1/3 filling
• Effect of Quantum Spin Fluctuation on Scalar Chiral Ordering in the Kondo Lattice Model on a Triangular Lattice
• Flux state and anomalous quantum Hall effect in square Kondo lattice
• Emergence of Nearly Flat Bands through an Embedded Kagome Lattice in an Epitaxial Two-dimensional Ge Layer on ZrB2(0001)
• Hubbard model on the kagome lattice with time-reversal invariant flux and spin-orbit coupling
• Flat bands and $Z_2$ topological phases in a non-Abelian kagome lattice
• Topologically non-trivial Hofstadter bands on the kagome lattice
• Perspective: imaging atomic step geometry to determine surface terminations of kagome materials and beyond
• Effect of collective spin excitation on electronic transport in topological spin texture
• From chiral spin liquids to skyrmion fluids and crystals, and their interplay with itinerant electrons
• Skyrmion crystal under $D_{3h}$ point group: Role of out-of-plane Dzyaloshinskii-Moriya interaction
• Spontaneous quantum Hall effect in an atomic spinor Bose-Fermi mixture
• Dzyaloshinskii-Moriya interaction torques and domain wall dynamics in van der Waals heterostructures
• Noncoplanar spin canting in lightly-doped ferromagnetic Kondo lattice model on a triangular lattice
• Edge states and the integer quantum Hall conductance in spin-chiral ferromagnetic kagome lattice
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• Topological Hall effect induced by classical large-spin background: $su(2)$ path-integral approach
• Intriguing kagome topological materials
• Individual band with higher Chern numbers in double perovskite {001} monolayers
• Anomalous Hall Effect and Magnetoresistance of SrFe1-xCoxO3-d
• Thermoelectric effect of multiferroic oxide interfaces
• Higher-dimensional Hofstadter butterfly on Penrose lattice
• Bias-induced chiral current and topological blockadein triple quantum dots
• Topological magnon in exchange frustration driven incommensurate spin spiral of a kagome lattice YMn${}_6$Sn${}_6$
• Phase Diagram of the Shastry-Sutherland Kondo Lattice Model with Classical Localized Spins: A Variational Calculation Study
• Skyrmion crystal with integer and fractional skyrmion numbers in a nonsymmorphic lattice structure with the screw axis
• Anomalous Josephson Hall effect in magnet/triplet superconductor junctions
• Tunable skyrmion crystals and topological quantum oscillations in magnetic metals
• Higher-Order Van Hove Singularities in Kagome Topological Bands
• Ground-state phase diagram of the Kondo lattice model on triangular-to-kagome lattices
• Exploring topological spin order by inverse Hamiltonian design: A new stabilization mechanism for square skyrmion crystals
• Antiferro skyrmion crystal phases in a synthetic bilayer antiferromagnet under an in-plane magnetic field
• Magnetic bubble crystal in tetragonal magnets
• Quasi-2D anomalous Hall Mott insulator of topologically engineered Jeff =1/2 electrons
• Current-induced quasiparticle magnetic multipole moments
• Topological magneto-optics in the non-coplanar antiferromagnet Co_{1/3}NbS_2: Imaging and writing chiral magnetic domains
• Parity-broken ground state for the spin-1 pyrochlore antiferromagnet
• Emergent curved space and gravitational lensing in quantum materials
• Chiral helimagnetic state in a Kondo lattice model with the Dzyaloshinskii-Moriya interaction
• Chiral Stoner magnetism in Dirac bands
• Landau levels and snake states of pseudo-spin-1 Dirac-like electrons in gapped Lieb lattices
• Thermoelectric effect in kagome lattice enhanced at van Hove singularities
• Large Spontaneous Hall Effects in Chiral Topological Magnets
• Engineering flux-controlled flat bands and topological states in a Stagome lattice
• Protection against Spin Gap in 2-d Insulating Antiferromagnets with a Chern-Simons Term
• RKKY plateau in zero- and one-dimensional triangular Kagome lattice models
• Chern insulating state with double-$Q$ ordering wave vectors at the Brillouin zone boundary
• Scalar spin chirality induced by a circularly polarized electric field in a classical kagome magnet
• Quantum Anomalous Hall Effect in $d$-Electron Kagome Systems: Chern Insulating States from Transverse Spin-Orbit Coupling
• Chemical Control of Spin Chirality in $(N{d}_{1-x}D{y}_x{)}_{2}M{o}_2{O}_7$
• Low-energy effective theory and symmetry classification of flux phases on Kagome lattice
• Zero-energy excitation in the classical kagome antiferromagnet NaBa${}_2$Mn${}_3$F${}_{11}$
• Reconstruction of chiral edge states in a magnetic Chern insulator
• Quantized Transport in Two-Dimensional Spin-Ordered Structures
• Giant anomalous Hall conductivity in frustrated magnet EuCo2Al9
• Magnetic instability under ferroaxial moment
• Topological phase diagram of the Haldane model on a Bishamon-kikko--honeycomb lattice
• Soliton Defects in One-dimensional Topological Three-band Hamiltonian
• Metal-insulator transitions in pyrochlore oxides
• Many-body Chern insulator in the Kondo lattice model on a triangular lattice
• Upper branch thermal Hall effect in quantum paramagnets
• Uniform and Staggered electric axial moment in zigzag chain
• Topological spin Hall effect in antiferromagnets driven by vector Néel chirality
• Topological Hall effect in the Shastry-Sutherland lattice
• Skew scattering by magnetic monopoles and anomalous Hall effect in spin-orbit coupled systems
• Anomalous Hall effect in the coplanar antiferromagnetic coloring-triangular lattice
• Observation of Resonance of Kagome Flat Band Doublet
• Hermitian and non-Hermitian topology in active matter
• Rich unconventional Hall effects in a single quasi-kagome Kondo Weyl semimetal candidate Ce${}_3$TiSb${}_5$
• Anomalous Hall Resistivity of TbBaCo2O5.53 with Non-trivial Magnetic Structure
• Field-induced transformation between triangular and square skyrmion crystals in a tetragonal polar magnet
• Highly anisotropic geometrical Hall effect via f-d exchange fields in doped pyrochlore molybdates
• Topological Hall effect enhanced at magnetic transition fields in a frustrated magnet EuCd${}_2$
• Nonequilibrium control of kagome metals
• Skyrmion-skyrmion interaction induced by itinerant electrons in a ferromagnetic strip
• Topological Aspects of Antiferromagnets
• Thermal Hall effect and gauge-field picture of magnons in antiferromagnetic skyrmion crystals
• The Anomalous Hall Effect
• Four-Spin Interactions as a Route to Multiple-Q Topological Magnetic Order
• Three-dimensional topological orbital Hall effect caused by magnetic hopfions
• Degenerate magnetic ground state and metastable state on trihexagonal Co-sublattices in Co3Sn2(S,Se)2 single crystals
• On the Stability of Quantum Hall Kagome-ice Insulator
• Extended Haldane Model in The Dice Lattice: Multiple Flat-Band-Induced topological Transitions Revealed
• Nonrelativistic Functional Properties in Collinear Antiferromagnets Based on Multipole Representation Theory
• First Principles Prediction of Topological Phases in Thin Films of Pyrochlore Iridates
• Spin-dependent transport in a driven noncolinear antiferromagnetic fractal network
• Giant and robust topological Hall effect in Chiral Magnet Co7Zn8Mn5
• Local spin ice order induced planar Hall effect in Nd-Sn artificial honeycomb lattice
• Real-space renormalisation approach to the Chalker-Coddington model revisited: improved statistics
• Double-$Q$ and quadruple-$Q$ instabilities at low-symmetric ordering wave vectors under tetragonal symmetry
• Surface and interface effects on a magnetic Chern insulator
• Decision making by Berry's flux
• Finite-temperature stability of skyrmion crystals in frustrated magnets: Role of sixfold anisotropy and uniform spin mode in momentum space
• Flat bands and band touching from real-space topology in hyperbolic lattices
• Topological phase transitions by time-dependent electromagnetic fields in frustrated magnets: Role of dynamical and static magnetic fields
• Topological states and flat bands in exactly solvable decorated Cayley trees
• Stacking-dependent nonreciprocal transport in magnetic skyrmions
• Magnetization-Tunable Topological Phase Transitions in Ferromagnetic Kagome Monolayers of Co${}_3$X${}_3$Y${}_2$ ($X=\mathrm{Sn},\mathrm{Pb}$; $Y=\mathrm{S},\mathrm{Se}$)
• Valley-Polarized Quantum Anomalous Hall Phase in Bilayer Graphene with Layer-Dependent Proximity Effects
• Analytic Formulas for the Anomalous Hall Effect in Itinerant Magnets
• Topological excitations in quasi two-dimensional quantum magnets with weak interlayer interactions
• ${\mathbb{Z}}_2$ Vortex Crystals in Tetrahedral Antiferromagnets: Fractional Charges and Topological Magnons
• Topologically nontrivial flat bands and quantum Hall crossovers in square-octagon lattice materials
• Riemannian geometric classification and emergent phenomena of magnetic textures
• Kagome edge states under lattice termination, spin-orbit coupling, and magnetic order
• Field-tunable quadruple-$Q$ states driven by momentum-space frustration
• Disorder-Induced Topological Phases in a Two-Dimensional Chern Insulator with Strong Magnetic Disorder
• Effects of crystal field and momentum-based frustrated exchange interactions on multiorbital square skyrmion lattice
• Chern insulators and topological flat bands in cavity-embedded kagome systems
• Double-Exchange Model on Triangle Chain
• Exciton-Anyon Binding in Fractional Chern Insulators: Spectral Fingerprints