Topological kagome magnets and superconductors

Abstract

A kagome lattice naturally features Dirac fermions, flat bands and van Hove singularities in its electronic structure. The Dirac fermions encode topology, flat bands favour correlated phenomena such as magnetism, and van Hove singularities can lead to instabilities towards long-range many-body orders, altogether allowing for the realization and discovery of a series of topological kagome magnets and superconductors with exotic properties. Recent progress in exploring kagome materials has revealed rich emergent phenomena resulting from the quantum interactions between geometry, topology, spin and correlation. Here we review these key developments in this field, starting from the fundamental concepts of a kagome lattice, to the realizations of Chern and Weyl topological magnetism, to various flat-band many-body correlations, and then to the puzzles of unconventional charge-density waves and superconductivity. We highlight the connection between theoretical ideas and experimental observations, and the bond between quantum interactions within kagome magnets and kagome superconductors, as well as their relation to the concepts in topological insulators, topological superconductors, Weyl semimetals and high-temperature superconductors. These developments broadly bridge topological quantum physics and correlated many-body physics in a wide range of bulk materials and substantially advance the frontier of topological quantum matter.

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• Non-Abelian Anyons and Topological Quantum Computation
• High temperature fractional quantum Hall states
• CsV${}_3$Sb${}_5$: a ${\mathbb{Z}}_2$ topological kagome metal with a superconducting ground state
• Heavy Fermions and Quantum Phase Transitions
• Discovery of a quantum limit Chern magnet TbMn6Sn6
• Unconventional Fermi surface instabilities in the Kagome Hubbard Model
• Progress and prospects in magnetic topological materials
• Superconductivity in the ${\mathbb{Z}}_2$ kagome metal KV${}_3$Sb${}_5$
• Negative flat band magnetism in a spin-orbit coupled correlated kagome magnet
• Anomalous Hall Effect in Weyl Metals
• Superconductivity and normal-state properties of kagome metal RbV3Sb5 single crystals
• Electrical Manipulation of a Topological Antiferromagnetic State
• Topological Weyl semimetals in the chiral antiferromagnetic materials Mn3Ge and Mn3Sn
• Unusual competition of superconductivity and charge-density-wave state in a compressed topological kagome metal
• Discovery of charge density wave in a correlated kagome lattice antiferromagnet
• Theoretical prediction of a strongly correlated Dirac metal
• Three-state nematicity and magneto-optical Kerr effect in the charge density waves in kagome superconductors
• Doped Kagome System as Exotic Superconductor
• Tunable nodal kagome superconductivity in charge ordered RbV3Sb5
• Highly-robust reentrant superconductivity in CsV3Sb5 under pressure
• Absence of local moments in the kagome metal KV3Sb5 as determined by muon spin spectroscopy
• Anisotropic superconducting properties of Kagome metal CsV3Sb5
• Optical detection and manipulation of spontaneous gyrotropic electronic order in a transition-metal dichalcogenide semimetal
• Charge order breaks time-reversal symmetry in CsV${}_3$Sb${}_5$
• Fantastic flat bands and where to find them: The CoSn-type compounds
• Realizing Kagome Band Structure in Two-Dimensional Kagome Surface States of $R{V}_{6}S{n}_6$ ($R$=Gd,Ho)
• Discovery of charge order and corresponding edge state in kagome magnet FeGe
• Large anomalous Hall effect in the kagome ferromagnet LiMn${}_6$Sn${}_6$
• Anomalous Hall Effect in Kagome Ferrimagnet GdMn${}_6$Sn${}_6$
• Strong coupling nature of kagome superconductivity in LaRu${}_3$Si${}_2$
• Tuning the competition between superconductivity and charge order in kagome superconductor Cs(V1-xNbx)3Sb5
• Exchange-biased topological transverse thermoelectric effects in a Kagome ferrimagnet
• Many-body Resonance in a Correlated Topological Kagome Antiferromagnet
• Manipulation of Dirac band curvature and momentum-dependent g-factor in a kagome magnet YMn6Sn6
• Magic angles in twisted bilayer graphene near commensuration: Towards a hypermagic regime
• Local spectroscopic evidence for a nodeless magnetic kagome superconductor CeRu${}_2$
• Colossal anomalous Nernst effect in a correlated noncentrosymmetric kagome ferromagnet

Cited by in corpus (184)

• Quantum states and intertwining phases in kagome materials
• Nodeless electron pairing in CsV${}_3$Sb${}_5$-derived kagome superconductors
• Signatures of Chiral Superconductivity in Rhombohedral Graphene
• Superconductivity emerging from density-wave-like order in a correlated kagome metal
• Chiral kagome superconductivity modulations with residual Fermi arcs in KV3Sb5 and CsV3Sb5
• Competing charge-density wave instabilities in the kagome metal ScV${}_6$Sn${}_6$
• Observation of Flat Band, Dirac Nodal Lines and Topological Surface States in Kagome Superconductor CsTi${}_3$Bi${}_5$
• Correlated order at the tipping point in the kagome metal CsV${}_3$Sb${}_5$
• Intertwining of magnetism and charge ordering in kagome FeGe
• Progress and Prospects in Two-Dimensional Magnetism of van der Waals Materials
• Observation of the dual quantum spin Hall insulator by density-tuned correlations in a van der Waals monolayer
• Unconventional Optical Rotation in the Charge Ordered State of Kagome Metal CsV3Sb5
• Annealing-tunable charge density wave in the kagome antiferromagnet FeGe
• Evidence chain for time-reversal symmetry-breaking kagome superconductivity
• Novel three-dimensional Fermi surface and electron-correlation-induced charge density wave in FeGe
• Two-dimensional Kagome Materials: Theoretical Insights, Experimental Realizations, and Electronic Structures
• Dynamics and Resilience of the Charge Density Wave in a bilayer kagome metal
• Competing itinerant and local spin interactions in kagome metal FeGe
• Superconducting, topological and transport properties of kagome metals CsTi${}_3$Bi${}_5$ and RbTi${}_3$Bi${}_5$
• Stable computation of entanglement entropy for 2D interacting fermion systems
• Altermagnetic Ground State in Distorted Kagome Metal CsCr${}_3$Sb${}_5$
• Tunable magnetism and electron correlation in Titanium-based Kagome metals RETi3Bi4 (RE = Yb, Pr, and Nd) by rare-earth engineering
• Universal sublinear resistivity in vanadium kagome materials hosting charge density waves
• Nonlinear Superconducting Magnetoelectric Effect
• Spin-charge-lattice coupling across the charge density wave transition in a Kagome lattice antiferromagnet
• Orbital character of the spin-reorientation transition in TbMn${}_6$Sn${}_6$
• New insight into tuning magnetic phases of $R$Mn${}_6$Sn${}_6$ kagome metals
• Van-Hove annihilation and nematic instability on a Kagome lattice
• Anisotropic magnetism and band evolution induced by ferromagnetic phase transition in titanium-based kagome ferromagnet SmTi3Bi4
• Variational Monte Carlo Study of the 1/9 Magnetization Plateau in Kagome Antiferromagnets
• Symmetry breaking and ascending in the magnetic kagome metal FeGe
• Charge order above room-temperature in a prototypical kagome superconductor La(Ru${}_{1-x}$Fe${}_x$)${}_3$Si${}_2$
• Distinct switching of chiral transport in the kagome metals KV${}_3$Sb${}_5$ and CsV${}_3$Sb${}_5$
• Spin density wave and van Hove singularity in the kagome metal CeTi3Bi4
• Chiral and flat-band magnetic cluster excitations in a ferromagnetic kagome metal
• Tilted Dirac cones and topological transitions in strained kagome lattices
• An unconventional platform for two-dimensional Kagome flat bands on semiconductor surfaces
• Tensor network approach to the fully frustrated XY model on a kagome lattice with a fractional vortex-antivortex pairing transition
• Magnetic kagome materials RETi3Bi4 family with weak interlayer interactions
• FeGe as a building block for the kagome 1:1, 1:6:6, and 1:3:5 families: hidden d-orbital decoupling of flat band sectors, effective models and interaction Hamiltonians
• Room-temperature ferromagnetism in epitaxial bilayer FeSb/SrTiO3(001) terminated with a Kagome lattice
• Probing orbital magnetism of a kagome metal CsV3Sb5 by a tuning fork resonator
• Diverse electronic landscape of the kagome metal YbTi3Bi4
• Roadmap on Quantum Magnetic Materials
• Quantum oscillations in kagome metals (Ti, Zr, Hf)V6Sn6 at Van Hove filling
• Magnetic-coupled electronic landscape in bilayer-distorted titanium-based kagome metals
• Twistronics of Kekulé Graphene: Honeycomb and Kagome Flat Bands
• Chiral-Flux-Phase-Based Topological Superconductivity in Kagome Systems with Mixed Edge Chiralities
• Phonon collapse and anharmonic melting of the 3D charge-density wave in kagome metals
• Superconductivity in kagome metal ThRu3Si2
• Emus live on the Gross-Neveu-Yukawa archipelago
• Atomically-precise engineering of spin-orbit polarons in a kagome magnetic Weyl semimetal
• Quantum Oscillations in kagome metals CsTi3Bi5 and RbTi3Bi5
• Self-consistent theory of $2\times 2$ pair density waves in kagome superconductors
• Electronic band structures of topological kagome materials
• Yu-Shiba-Rusinov bands in a self-assembled kagome lattice of magnetic molecules
• Chemical Rules for Stacked Kagome and Honeycomb Topological Semimetals
• Frustrated charge density wave and quasi-long-range bond-orientational order in the magnetic kagome FeGe
• Orbital-selective effect of spin reorientation on the Dirac fermions in a non-charge-ordered kagome ferromagnet Fe${}_3$Ge
• AV${}_3$Sb${}_5$ kagome superconductors: a review with transport measurements
• Condensation of preformed charge density waves in kagome metals
• UOTe: Kondo-interacting topological antiferromagnet in a van der Waals lattice
• Ground-state magnetic structures of topological kagome metals RV${}_6$Sn${}_6$ (R = Tb, Dy, Ho, Er)
• FeGe1-xSbx:a series of novel kagome metals with noncollinear antiferromagnetism
• Electron correlations in the kagome flat band metal $\mathrm{CsC}{\mathrm{r}}_3\mathrm{S}{\mathrm{b}}_5$
• Electronic orders on the kagome lattice at the lower Van Hove filling
• Nonlinear Corner States in Topologically Nontrivial Kagome Lattice
• Spectroscopic origin of giant anomalous Hall effect in an interwoven magnetic kagome metal
• Spontaneous vortex-antivortex lattice and Majorana fermions in rhombohedral graphene
• Kagome materials $A$V${}_3$Sb${}_5$ ($A$=K,Rb,Cs): pairing symmetry and pressure-tuning studies
• Perspective: imaging atomic step geometry to determine surface terminations of kagome materials and beyond
• Unraveling the origin of Kondo-like behavior in the 3$d$-electron heavy-fermion compound YFe${}_2$Ge${}_2$
• Kagome KMn${}_3$Sb${}_5$ metal: Magnetism, lattice dynamics, and anomalous Hall conductivity
• Spinon quantum spin Hall state in the kagome antiferromagnet with a Dzyaloshinskii-Moriya interaction
• Quantum oscillation studies of the nodal line semimetal Ni3In2S2-xSex
• Kagome and honeycomb flat bands in moiré graphene
• Magnetism in AV3Sb5 (Cs, Rb, K): Origin and Consequences for the Strongly Correlated Phases
• Topological electronic structure and electronic nematicity in candidate kagome superconductors, ATi${}_3$Bi${}_5$ (A = Rb, Cs)
• Observation of Fermi-surface-dependent anisotropic Cooper pairing in kagome superconductor CsV3Sb5
• Valence Bond Crystal Ground State of the 1/9 Magnetization Plateau in the Spin-1/2 Kagome Lattice
• Higher-Order Van Hove Singularities in Kagome Topological Bands
• ErMn${}_6$Sn${}_6$: A Promising Kagome Antiferromagnetic Candidate for Room-Temperature Nernst Effect-based thermoelectrics
• Fluctuated lattice-driven charge density wave far above the condensation temperature in kagome superconductor KV${}_3$Sb${}_5$
• Fully-gapped superconductivity with rotational symmetry breaking in pressurized kagome metal CsV${}_3$Sb${}_5$
• Topological two-body bands in a multiband Hubbard model
• Higher-order topology in twisted multilayer systems: a review
• Experimental realization of dice-lattice flat band at the Fermi level in layered electride YCl
• Fermi surface of magnetic kagome compound GdV6Sn6 investigated using de Haas van Alphen Oscillations
• Linear scaling relationship of Néel temperature and dominant magnons in pyrochlore ruthenates
• Local excitation of kagome spin ice magnetism in HoAgGe seen by scanning tunneling microscopy
• Spin-flop quasi metamagnetic, anisotropic magnetic, and electrical transport behavior of Ho substituted kagome magnet ErMn${}_6$Sn${}_6$
• Unveiling van Hove singularity modulation and fluctuated charge order in kagome superconductor $\mathrm{Cs}{\mathrm{V}}_3\mathrm{S}{\mathrm{b}}_5$ via time-resolved ARPES
• Discovery of a new phase in thin flakes of KV${}_3$Sb${}_5$ under pressure
• Field Orientation Dependent Magnetic Phases In Weyl Semimetal Co3Sn2S2
• Long-range Ising spins models emerging from frustrated Josephson junctions arrays with topological constraints
• Charge bond order and s-wave superconductivity in the kagome lattice with electron-phonon coupling and electron-electron interaction
• Thermomodulated intrinsic Josephson effect in Kagome CsV3Sb5
• Tunable bifurcation of magnetic anisotropy and bi-oriented antiferromagnetic order in kagome metal GdTi3Bi4
• Chemical enhancement of superconductivity in LaRu3Si2 with mode-selective coupling between kagome phonons and flat bands
• MPd5 kagome superconductors studied by density functional calculations
• Photoemission Insights to Electronic Orders in Kagome Superconductor AV3Sb5
• Isolated nearly flat higher Chern band in monolayer transition metal trihalides
• Lattice dynamics study of electron-correlation-induced charge density wave in antiferromagnetic kagome metal FeGe
• Microscopic study of the impurity effect in the kagome superconductor La(Ru${}_{1-x}$Fe${}_x$)${}_3$Si${}_2$
• Common sublattice-pure van Hove singularities in the kagome superconductors $\text{A}$V${}_3$Sb${}_5$ ($\text{A}$ = K, Rb, Cs)
• Discovery of terahertz-frequency orbitally-coupled magnons in a kagome ferromagnet
• Fingerprints for anisotropic Kondo lattice behavior in the quasiparticle dynamics of the kagome metal Ni${}_3$In
• Breathing-Driven Metal-Insulator Transition in Correlated Kagome Systems
• Observation of multiple flat bands and van Hove singularities in the distorted kagome metal NdTi3Bi4
• Nonlinear optical response in kagome lattice with inversion symmetry breaking
• Giant Self Spin-Valve Effect in the Kagome Helimagnet
• Observation of Resonance of Kagome Flat Band Doublet
• Quantum Metric-induced Oscillations in Flat Bands
• Constraints on the orbital flux phase in $A$V${}_3$Sb${}_5$ from polar Kerr effect
• Coexisting Kagome and Heavy Fermion Flat Bands in YbCr${}_6$Ge${}_6$
• Correlation stabilized ferromagnetic MnRuAs with distorted kagome lattice
• Magnetic order and physical properties of the Kagome metal UNb${}_6$Sn${}_6$
• Nature of the 1/3 Magnetization Plateau in Spin-1/2 Kagome Antiferromagnets
• Interface engineering of van der Waals heterostructures towards energy-efficient quantum devices operating at high temperatures
• Anomalous magnetoresistance in an antiferromagnetic Kagome semimetal heterostructures
• Successive orthorhombic distortions in kagome metals by molecular orbital formation
• Stacking-Dependent Van Hove Singularity Shifts in Three-Dimensional Charge Density Waves of Kagome Metals AV${}_3$Sb${}_5$ (A = K, Rb, Cs)
• Unconventional superconductivity in Sc${}_2$Ir${}_{4-x}$Si${}_x$ by spin-orbit coupling driven flat band
• Evidence of Mott Insulator with Thermally Induced Melting Behavior in Kagome Compound Nb3Cl8
• Incommensurate and commensurate antiferromagnetic orders in the kagome compound UV${}_6$Sn${}_6$
• Ferromagnetic Resonance Spectroscopy on the Kagome Magnet MgMn${}_6$Sn${}_6$
• Antiferromagnetic Spin Fluctuations and Structural Transition in Cluster Mott Insulator Candidate Nb3Cl8 Revealed by 93Nb- and 35Cl-NMR
• Rich unconventional Hall effects in a single quasi-kagome Kondo Weyl semimetal candidate Ce${}_3$TiSb${}_5$
• Electron-doped magnetic Weyl semimetal LixCo3Sn2S2 by bulk-gating
• Exploring strong electronic correlations in the breathing kagome metal Fe${}_3$Sn
• Multiple topological corner states in the continuum of extended kagome lattice
• Slow ferromagnetic fluctuations in the kagome metal Sc${}_3$Mn${}_3$Al${}_7$Si${}_5$ revealed by ${}^{27}$Al NMR
• Symmetry-broken ground state and phonon mediated superconductivity in Kagome CsV${}_3$Sb${}_5$
• Observation of unexpected band splitting and magnetically-induced band structure reconstruction in TbTi${}_3$Bi${}_4$
• Topological Majorana flat bands in the Kitaev model on a Bishamon-kikko lattice
• Matrix-product-state-based band-Lanczos solver for quantum cluster approaches
• Anomalous Nernst Effect and Its Implications for Time-Reversal Symmetry Breaking in Kagome Metal ScV6Sn6
• Interacting spin and charge density waves in kagome metal FeGe
• Boundary Flat Bands with Topological Spin Textures Protected by Sub-chiral Symmetry
• Electronic inhomogeneity in Cs- and Sb-terminated surfaces of CsV${}_3$Sb${}_5$ probed by scanning photoemission spectromicroscopy
• Recent progress in quantum spin liquids, fractional magnetization plateaus, and unconventional superconductivity in kagome lattices
• Quantum dephasing of kagome superconductivity
• Sliding Luttinger Liquid and Topological Flat Bands in Symmetry Mismatched Moiré Interfaces
• Topological Aspects of Dirac Fermions in a Kagomé Lattice
• Beyond kagome: $p$-bands in kagome metals
• Superconducting critical temperature and dimensionality tuning of RbV${}_3$Sb${}_5$ via biaxial strain
• Non-Abelian line graph: A generalized approach to flat bands
• Role of On-site and Inter-site Coulomb Interactions in KV${}_3$Sb${}_5$: A first-principles DFT+$U$+$V$ study
• Limitations of detecting structural changes and time-reversal symmetry breaking in scanning tunneling microscopy experiments
• Nematic correlations and nematic Berezinskii-Kosterlitz-Thouless transition in spin-1 kagome lattice antiferromagnets
• Robust Orbital-Selective Flat Bands in Transition-Metal Oxychlorides
• Time-Resolved Photoemission Spectroscopy of Quantum Materials Using High Harmonic Generation: Probing Electron-Phonon Interactions and Non-Equilibrium Dynamics
• Noncollinear antiferromagnetic structure and physical properties of CrRhAs with distorted kagome lattice
• Magnetism of kagome metals $\left({\text{Fe}}_{1-x}{\text{Co}}_x\right)\text{Sn}$ studied by $\mu$SR
• Frustration-free free fermions
• Artificial electrostatic crystals: a new platform for creating correlated quantum states
• Crystal structure, properties and pressure-induced insulator-metal transition in layered kagome chalcogenides
• Tunable Anomalous Hall Effect in a Kagome Ferromagnetic Weyl Semimetal
• Spin photonic topological metasurface based on kagome lattice and leaky-wave application
• High-throughput study of kagome compounds in the AV3Sb5 family
• Mott-Derived Local Moments and Kondo Hybridization in a d-electron Kagome lattice
• Magnetization-Tunable Topological Phase Transitions in Ferromagnetic Kagome Monolayers of Co${}_3$X${}_3$Y${}_2$ ($X=\mathrm{Sn},\mathrm{Pb}$; $Y=\mathrm{S},\mathrm{Se}$)
• Complex Temperature-dependent Thermal Conductivity in a Sawtooth Chain Magnet Fe${}_2$SiSe${}_4$
• Stabilizing Itinerant Electrons in a Corner-Sharing Kagomé Oxide Nd4Os3ZnO14
• Topological phase transition driven by Hatsugai-Kohmoto interaction on the Kagome lattice
• Direct Observation of the Zigzag Edge States of a Supramolecular Diatomic Kagome Lattice
• Topological pair density waves in kagome superconductors
• NMR study of the local magnetic order in the kagome Weyl semimetal Co${}_3$Sn${}_2$S${}_2$
• Magnetic anisotropy effect on stabilizing magnetization plateaus of kagome strip chain Heisenberg antiferromagnets
• Diverse electronic topography in a distorted kagome metal LaTi3Bi4
• Epitaxial growth and magneto-transport properties of kagome metal FeGe thin films
• Investigating the Electrical Transport Properties and Electronic Structure of Zr2CuSb3
• Spin-polarized triplet excitonic insulators in Ta3X8 (X=I, Br) monolayers
• Nature of magnetic exchange interactions in kagome antiferromagnets FeGe and FeSn
• Evolution from Topological Dirac Metal to Flat-band-Induced Antiferromagnet in Layered KxNi4S2 (0<=x<=1)
• Single crystal growth, structural and physical properties, and absence of a charge density wave in Ti_{0.85}Fe6Ge6
• Electronic and structural properties of Rh- and Pd-based kagome layered shandites from first principles
• Engineering correlated Dirac fermions and flat bands on SiC with transition-metal adatom lattices
• Chern insulators and topological flat bands in cavity-embedded kagome systems
• Singular flat bands in three dimensions: Landau level spreading, quantum geometry, and Weyl reconstruction
• Topological electron and phonon flat bands in novel kagome superconductor XPd5 (X=Ca, Sr, Ba)
• Topological Pseudospin Hall Effect and Multi-frequency Corner Modes in Kagome-based Lattices
• Theory of unconventional magnetism in a Cu-based kagome metal
• Synergistic doping and stabilization of magnetically tunable LnTi${}_3$(Sb,Sn)${}_4$ (Ln:Ce--Gd) kagome metals