Quantum states and intertwining phases in kagome materials

Abstract

In solid materials, nontrivial topological states, electron correlations, and magnetism are central ingredients for realizing quantum properties, including unconventional superconductivity, charge and spin density waves, and quantum spin liquids. The Kagome lattice, made up of connected triangles and hexagons, can host these three ingredients simultaneously and has proven to be a fertile platform for studying diverse quantum phenomena including those stemming from the interplay of these ingredients. In this review, we introduce the fundamental properties of the Kagome lattice as well as discuss the complex observed phenomena seen in several emergent material systems such as the intertwining of charge order and superconductivity in some Kagome metals, modulation of magnetism and topology in some Kagome magnets, and symmetry breaking with Mott physics in the breathing Kagome insulators. We also highlight many open questions in the field as well as future research directions of Kagome systems.

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• Theory of the charge-density wave in $A$V${}_3$Sb${}_5$ kagome metals
• Tunable nodal kagome superconductivity in charge ordered RbV3Sb5
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• Highly-robust reentrant superconductivity in CsV3Sb5 under pressure
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• In-plane magnetic field induced double fan spin structure with $\text{c}$-axis component in metallic kagome antiferromagnet YMn${}_6$Sn${}_6$
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• Absence of local moments in the kagome metal KV3Sb5 as determined by muon spin spectroscopy
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• Fermi level tuning and double-dome superconductivity in the kagome metals CsV${}_3$Sb${}_{5-x}$Sn${}_x$
• Spin wave imaging in atomically designed nanomagnets
• Coherent phonon spectroscopy and interlayer modulation of charge density wave order in the kagome metal CsV${}_3$Sb${}_5$
• Topological states on the breathing kagome lattice
• Field induced topological Hall effect in non-coplanar triangular antiferromagnetic geometry of Mn3Sn
• Charge order breaks time-reversal symmetry in CsV${}_3$Sb${}_5$
• Mechanism of exotic density-wave and beyond-Migdal unconventional superconductivity in kagome metal AV3Sb5 (A=K, Rb, Cs)
• Realizing Kagome Band Structure in Two-Dimensional Kagome Surface States of $R{V}_{6}S{n}_6$ ($R$=Gd,Ho)
• Competition of superconductivity and charge density wave in selective oxidized CsV3Sb5 thin flakes
• Study of the electronic properties of topological kagome metals YV${}_6$Sn${}_6$ and GdV${}_6$Sn${}_6$
• Superconducting Transitions in Flat Band Systems
• Charge density wave orders and enhanced superconductivity under pressure in the kagome metal CsV3Sb5
• Electron-phonon coupling in the charge density wave state of CsV${}_3$Sb${}_5$
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• Optical detection of charge-density-wave instability in the non-magnetic kagome metal KV${}_3$Sb${}_5$
• Electronic correlations and flattened band in magnetic Weyl semimetal candidate Co3Sn2S2
• Anomalous and topological Hall effects in epitaxial thin films of the noncollinear antiferromagnet Mn${}_3$Sn
• Possible star-of-David pattern charge density wave with additional modulation in the kagome superconductor CsV${}_3$Sb${}_5$
• Charge-Density-Wave-Induced Peak-Dip-Hump Structure and the Multiband Superconductivity in a Kagome Superconductor CsV${}_3$Sb${}_5$
• Electronic correlations in the normal state of kagome superconductor KV${}_3$Sb${}_5$
• The study of magnetic topological semimetals by first principles calculations
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• Competition between charge-density-wave and superconductivity in the kagome metal RbV3Sb5
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• High Resolution Polar Kerr Effect Studies of CsV${}_3$Sb${}_5$: Tests for Time Reversal Symmetry Breaking Below the Charge Order Transition
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• Competing orders at higher-order Van Hove points
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• Anomalous Hall Effect in Kagome Ferrimagnet GdMn${}_6$Sn${}_6$
• Coexistence of Tri-Hexagonal and Star-of-David Pattern in the Charge Density Wave of the Kagome Superconductor AV${}_3$Sb${}_5$
• Bulk evidence of anisotropic $s$-wave pairing with no sign change in the kagome superconductor CsV${}_3$Sb${}_5$
• Ferromagnetism in the Hubbard model with Topological/Non-Topological Flat Bands
• Phase transitions in a three dimensional $U(1)\times U(1)$ lattice London superconductor: Metallic superfluid and charge-4e superconducting states
• Chiral excitonic order from twofold van Hove singularities in kagome metals
• Spatial symmetry constraint of charge-ordered kagome superconductor CsV${}_3$Sb${}_5$
• Ferromagnetism and Wigner crystallization in Kagome graphene and related structures
• Interaction-Driven Spontaneous Quantum Hall Effect on Kagome Lattice
• Charge density wave order in kagome metal AV${}_3$Sb${}_5$ (A= Cs, Rb, K)
• Conjoined Charge Density Waves in the Kagome Superconductor CsV3Sb5
• Nodal superconductivity and superconducting domes in the topological Kagome metal CsV3Sb5
• Abundant lattice instability in kagome metal ScV${}_6$Sn${}_6$
• Coexistence of Multiple Stacking Charge Density Waves in Kagome Superconductor ${\mathrm{CsV}}_3{\mathrm{Sb}}_5$
• Anomalous Hall effect in ferrimagnetic metal RMn6Sn6 (R = Tb, Dy, Ho) with clean Mn kagome lattice
• Unconventional charge density wave and photoinduced lattice symmetry change in Kagome Metal CsV${}_3$Sb${}_5$ probed by time-resolved spectroscopy
• Strong coupling nature of kagome superconductivity in LaRu${}_3$Si${}_2$
• Manipulation of Jeff=3/2 states by tuning the tetragonal distortion
• Tuning the competition between superconductivity and charge order in kagome superconductor Cs(V1-xNbx)3Sb5
• No observation of chiral flux current in the topological kagome metal CsV${}_3$Sb${}_5$
• Anomalous thermoelectric effects and quantum oscillations in the kagome metal CsV${}_3$Sb${}_5$
• Tunable Magnetic Transition to a Singlet Ground State in a 2D Van der Waals Layered Trimerized Kagomé Magnet
• Kinetic ferromagnetism on a kagome lattice
• Exchange-biased topological transverse thermoelectric effects in a Kagome ferrimagnet
• Geometry of the charge density wave in kagom$\acute{e}$ metal AV${}_3$Sb${}_5$
• Stability of ferromagnetism in the Hubbard model on the kagomé lattice
• Tuning the van Hove singularities in AV${}_3$Sb${}_5$ (A = K, Rb, Cs) via pressure and doping
• Revealing the immediate formation of two-fold rotation symmetry in charge-density-wave state of Kagome superconductor CsV${}_3$Sb${}_5$ by optical polarization rotation measurement
• Optical spectroscopy and band structure calculations of structural phase transition in the Vanadium-based kagome metal ScV${}_6$Sn${}_6$
• Structural evolution of the kagome superconductors $A$V${}_3$Sb${}_5$ ($A$ = K, Rb, and Cs) through charge density wave order
• Spectroscopic evidence of flat bands in breathing kagome semiconductor Nb3I8
• Observation of electronic nematicity driven by three-dimensional charge density wave in kagome lattice KV${}_3$Sb${}_5$
• Chiral properties of the zero-field spiral state and field-induced magnetic phases of the itinerant kagome metal YMn${}_6$Sn${}_6$
• Unidirectional coherent quasiparticles in the high-temperature rotational symmetry broken phase of AV3Sb5 kagome superconductors
• Rearrangement of Van-der-Waals Stacking and Formation of a Singlet State at $T=90$ K in a Cluster Magnet
• A new class of bilayer kagome lattice compounds with Dirac nodal lines and pressure-induced superconductivity
• Role of Sb in the superconducting kagome metal CsV${}_3$Sb${}_5$ revealed by its anisotropic compression
• Loop-current charge density wave driven by long-range Coulomb repulsion on the kagome lattice
• Distinctive momentum dependent charge-density-wave gap observed in CsV${}_3$Sb${}_5$ superconductor with topological Kagome lattice
• Superconductivity from repulsive interactions on the kagome lattice
• Higher-order van Hove singularity in magic-angle twisted trilayer graphene
• Anomalous Properties in the Normal and Superconducting States of LaRu${}_3$Si${}_2$
• Anomalous thermal Hall effect and anomalous Nernst effect of CsV${}_3$Sb${}_5$
• Quantum Spin Liquid in a Breathing Kagome Lattice
• Spontaneous symmetry breakings in two-dimensional kagome lattice
• Theory of nematic charge orders in kagome metals
• Interplay between magnetism and band topology in Kagome magnets $R$Mn${}_6$Sn${}_6$
• Conventional and charge six superfluids from melting hexagonal Fulde-Ferrell-Larkin-Ovchinnikov phases in two dimensions
• Strain-sensitive superconductivity in kagome metals KV${}_3$Sb${}_5$ and CsV${}_3$Sb${}_5$ probed by point-contact spectroscopy
• Charge-$4e$ superconductivity from nematic superconductors in 2D and 3D
• The effect of the interlayer ordering on the Fermi surface of Kagome superconductor CsV${}_3$Sb${}_5$ revealed by quantum oscillations
• Three-dimensional energy gap and origin of charge-density wave in kagome superconductor KV3Sb5
• Electrically controlled superconductor-insulator transition and giant anomalous Hall effect in kagome metal CsV3Sb5 nanoflakes
• First and Second Order Topological Phases on Ferromagnetic Breathing Kagome Lattice
• Corner modes of the breathing kagome lattice: origin and robustness
• Microscopic nature of the charge-density wave in kagome superconductor RbV${}_3$Sb${}_5$
• Emergent nematicity and intrinsic vs. extrinsic electronic scattering processes in the kagome metal CsV${}_3$Sb${}_5$
• Spin Hall effect in the kagome lattice with Rashba spin-orbit interaction
• Gapless excitations inside the fully gapped kagome superconductors AV${}_3$Sb${}_5$
• Fermiology and Origin of Tc Enhancement in a Kagome Superconductor Cs(V1-xNbx)3Sb5
• Magnetism and charge density waves in RNiC${}_2$ (R = Ce, Pr, Nd)
• Mottness in two-dimensional van der Waals Nb${}_3$X${}_8$ monolayers (X=Cl, Br, and I)
• Evolution of electronic structure in pristine and hole-doped kagome metal RbV${}_3$Sb${}_5$
• Emergence of large quantum oscillation frequencies in thin flakes of the kagome superconductor CsV${}_3$Sb${}_5$
• Van Hove tuning of AV3Sb5 kagome metals under pressure and strain
• Tuning charge-density wave order and superconductivity in the kagome metals KV${}_3$Sb${}_{5-x}$Sn${}_x$ and RbV${}_3$Sb${}_{5-x}$Sn${}_x$
• Muon-spin relaxation study of the layered kagome superconductor CsV${}_3$Sb${}_5$
• Tunable quantum spin liquidity in the 1/6th-filled breathing kagome lattice
• Tunable room temperature magnetic skyrmions in centrosymmetric kagome magnet Mn${}_4$Ga${}_2$Sn
• Wigner crystallization in topological flat bands
• Twisting of 2D kagomé sheets in layered intermetallics
• Anomalous thickness-dependent electrical conductivity in van der Waals layered transition metal halide, Nb_3Cl_8
• Polarity-dependent charge-density wave in a kagome superconductor CsV3Sb5
• Superconductivity in kagome metal YRu3Si2 with strong electron correlations
• Direct observation of Fe spin reorientation in single crystalline YbFe6Ge6
• Evidence of orbit-selective electronic kagome lattice with planar flat-band in correlated paramagnetic YCr6Ge6
• Electronic properties and phase transition in Kagome metal, Yb0.5Co3Ge3
• Surface-termination-dependent electronic states in kagome superconductors AV3Sb5 (A = K, Rb, Cs) studied by micro-ARPES
• Magneto-Transport Properties of Kagome Magnet TmMn${}_6$Sn${}_6$
• Anomalous Hall effect and two-dimensional Fermi surfaces in the charge-density-wave state of kagome metal RbV${}_3$Sb${}_5$
• Topological Hall effect arising from the mesoscopic and microscopic non-coplanar magnetic structure in MnBi
• Structural instability and charge modulations in the Kagome superconductor $A$V${}_3$Sb${}_5$
• Distinct band reconstructions in kagome superconductor CsV${}_3$Sb${}_5$
• Three-Dimensional Real Space Invariants, Obstructed Atomic Insulators and A New Principle for Active Catalytic Sites
• The structure of kagome superconductors CsV${}_3$Sb${}_5$ in the charge density wave states
• Filling-Enforced Obstructed Atomic Insulators
• Role of electronic correlations in the Kagome lattice superconductor LaRh${}_3$B${}_2$
• Emergence of a new band and the Lifshitz transition in kagome metal ScV${}_6$Sn${}_6$ with charge density wave
• Tri-Hexagonal charge order in kagome metal CsV${}_3$Sb${}_5$ revealed by ${}^{121}$Sb NQR
• Multiband effects in thermoelectric and electrical transport properties of kagome superconductors $A$V${}_3$Sb${}_5$ ($A$ = K, Rb, Cs)
• Quantum Anomalous Hall Phase Stabilized via Realistic Interactions on a Kagome Lattice
• Topological and nodal superconductor kagome magnesium triboride
• Type-II Nodal Line Fermions in New Z2 Topological Semimetals AV6Sb6 (A=K, Rb,and Cs) with Kagome Bilayer
• Observation of anomalous amplitude modes in the kagome metal CsV${}_3$Sb${}_5$
• Impact of the orbital current order on the superconducting properties of the kagome superconductors
• Understanding resistance oscillation in CsV${}_3$Sb${}_5$ superconductor
• Magnetic Kagome Superconductor CeRu${}_2$
• Nature of charge density wave in kagome metal ScV6Sn6
• Nb${}_3$Cl${}_8$: A Prototypical Layered Mott-Hubbard Insulator

Cited by in corpus (67)

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• Two-dimensional Kagome Materials: Theoretical Insights, Experimental Realizations, and Electronic Structures
• Roadmap on Quantum Magnetic Materials
• Magnetic-coupled electronic landscape in bilayer-distorted titanium-based kagome metals
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• Observation of topologically distinct corner states in "bearded" photonic Kagome lattices
• Electronic band structures of topological kagome materials
• A-15 type superconducting hydride $L{a}_4{H}_{23}$: Nanograined structure with low strain, strong electron-phonon interaction, and moderate level of nonadiabaticity
• Instability of the charge density wave in Kagome magnet FeGe
• Magnetoelectric behavior of breathing kagomé monolayers of ${\mathrm{Nb}}_3{(\mathrm{Cl},\mathrm{Br},\mathrm{I})}_8$ from first-principles calculations
• AV${}_3$Sb${}_5$ kagome superconductors: a review with transport measurements
• Spectroscopic origin of giant anomalous Hall effect in an interwoven magnetic kagome metal
• Perspective: imaging atomic step geometry to determine surface terminations of kagome materials and beyond
• Observation of Multiple Topological Corner States in Thermal Diffusion
• Quantum oscillation studies of the nodal line semimetal Ni3In2S2-xSex
• Fully-gapped superconductivity with rotational symmetry breaking in pressurized kagome metal CsV${}_3$Sb${}_5$
• ErMn${}_6$Sn${}_6$: A Promising Kagome Antiferromagnetic Candidate for Room-Temperature Nernst Effect-based thermoelectrics
• Higher-order topology in twisted multilayer systems: a review
• Local excitation of kagome spin ice magnetism in HoAgGe seen by scanning tunneling microscopy
• High-order van Hove singularities and nematic instability in the kagome superconductor CsTi${}_3$Bi${}_5$
• 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
• Manipulation of topology by electric field in breathing kagome lattice
• Lattice dynamics study of electron-correlation-induced charge density wave in antiferromagnetic kagome metal FeGe
• Nonlinear optical response in kagome lattice with inversion symmetry breaking
• The spin-orbital Kitaev model: from kagome spin ice to classical fractons
• Breathing-Driven Metal-Insulator Transition in Correlated Kagome Systems
• Giant Self Spin-Valve Effect in the Kagome Helimagnet
• Unconventional superconductivity in Sc${}_2$Ir${}_{4-x}$Si${}_x$ by spin-orbit coupling driven flat band
• Coexisting Kagome and Heavy Fermion Flat Bands in YbCr${}_6$Ge${}_6$
• Anomalous magnetoresistance in an antiferromagnetic Kagome semimetal heterostructures
• Evidence of Mott Insulator with Thermally Induced Melting Behavior in Kagome Compound Nb3Cl8
• Nature of the 1/3 Magnetization Plateau in Spin-1/2 Kagome Antiferromagnets
• Observation of Resonance of Kagome Flat Band Doublet
• Ferromagnetic Resonance Spectroscopy on the Kagome Magnet MgMn${}_6$Sn${}_6$
• Incommensurate and commensurate antiferromagnetic orders in the kagome compound UV${}_6$Sn${}_6$
• Constraints on the orbital flux phase in $A$V${}_3$Sb${}_5$ from polar Kerr effect
• Quantum Metric-induced Oscillations in Flat Bands
• Weak low-temperature ferromagnetism and linear magnetoresistance in Lu${}_{0.75}$Fe${}_6$Sn${}_6$ with a disordered HfFe${}_6$Ge${}_6$-type structure
• Topological Aspects of Dirac Fermions in a Kagomé Lattice
• Anomalous Nernst Effect and Its Implications for Time-Reversal Symmetry Breaking in Kagome Metal ScV6Sn6
• Recent progress in quantum spin liquids, fractional magnetization plateaus, and unconventional superconductivity in kagome lattices
• Tailoring the normal and superconducting state properties of ternary scandium tellurides, Sc${}_{6}M$Te${}_2$ ($M=$ Fe, Ru and Ir) through chemical substitution
• From strong to weak correlations in breathing-mode kagome van der Waals materials: Nb${}_3$(F,Cl,Br,I)${}_8$ as a robust and versatile platform for many-body engineering
• Orbital inversion and emergent lattice dynamics in infinite layer CaCoO${}_2$
• Beyond kagome: $p$-bands in kagome metals
• Current-induced magnetoresistance hysteresis in the kagome superconductor CsV${}_3$Sb${}_5$
• Density-wave like behavior in a new Kagome material Ce${}_2$Ru${}_3$Si
• Imprinting electrically switchable scalar spin chirality by anisotropic strain in a Kagome antiferromagnet
• Magnetism of kagome metals $\left({\text{Fe}}_{1-x}{\text{Co}}_x\right)\text{Sn}$ studied by $\mu$SR
• Crystal structure, properties and pressure-induced insulator-metal transition in layered kagome chalcogenides
• Magnetic Interactions in the Polar Ferrimagnet with a Bipartite Structure
• Synergistic doping and stabilization of magnetically tunable LnTi${}_3$(Sb,Sn)${}_4$ (Ln:Ce--Gd) kagome metals
• Evolution from Topological Dirac Metal to Flat-band-Induced Antiferromagnet in Layered KxNi4S2 (0<=x<=1)
• Topological pair density waves in kagome superconductors
• Stabilizing Itinerant Electrons in a Corner-Sharing Kagomé Oxide Nd4Os3ZnO14
• Magnetic response and antiferromagnetic correlations in strained kagome ribbons
• Mott-Derived Local Moments and Kondo Hybridization in a d-electron Kagome lattice
• Single crystal growth, structural and physical properties, and absence of a charge density wave in Ti_{0.85}Fe6Ge6
• Spin order and excitations in the collinear kagome antiferromagnet Y${}_{0.5}$Fe${}_3$Sn${}_3$
• Magnetic and electric properties of the metallic kagome antiferromagnet CrRhAs
• Tunable intertwining via collective excitations
• Magnetization of electronic ground states in frustrated superstable graphs
• Nature of magnetic exchange interactions in kagome antiferromagnets FeGe and FeSn
• Monolayer van der Waals kagome lattice for high-temperature flat-band physics
• Epitaxial growth and magneto-transport properties of kagome metal FeGe thin films
• Theory of unconventional magnetism in a Cu-based kagome metal