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.

References in corpus (61)

• High temperature fractional quantum Hall states
• Fractional quantum Hall states at zero magnetic field
• Theory of Intertwined Orders in High Temperature Superconductors
• CsV${}_3$Sb${}_5$: a ${\mathbb{Z}}_2$ topological kagome metal with a superconducting ground state
• Higher-order topological insulators and semimetals on the breathing Kagome and pyrochlore lattices
• Fermi surface nesting and the origin of Charge Density Waves in metals
• Heavy Fermions and Quantum Phase Transitions
• Flat bands and Wigner crystallization in the honeycomb optical lattice
• Discovery of a quantum limit Chern magnet TbMn6Sn6
• Unconventional Fermi surface instabilities in the Kagome Hubbard Model
• Superconductivity in the ${\mathbb{Z}}_2$ kagome metal KV${}_3$Sb${}_5$
• Topological Insulators and Nematic Phases from Spontaneous Symmetry Breaking in 2D Fermi Systems with a Quadratic Band Crossing
• Topological Weyl semimetals in the chiral antiferromagnetic materials Mn3Ge and Mn3Sn
• Charge $4e$ superconductivity from pair density wave order in certain high temperature superconductors
• Interaction-driven topological insulators on the kagome and the decorated honeycomb lattices
• Topological flat band models with arbitrary Chern numbers
• Highly-robust reentrant superconductivity in CsV3Sb5 under pressure
• Absence of local moments in the kagome metal KV3Sb5 as determined by muon spin spectroscopy
• Field induced topological Hall effect in non-coplanar triangular antiferromagnetic geometry of Mn3Sn
• Realizing Kagome Band Structure in Two-Dimensional Kagome Surface States of $R{V}_{6}S{n}_6$ ($R$=Gd,Ho)
• Superconducting Transitions in Flat Band Systems
• Charge density wave orders and enhanced superconductivity under pressure in the kagome metal CsV3Sb5
• The study of magnetic topological semimetals by first principles calculations
• Competition between charge-density-wave and superconductivity in the kagome metal RbV3Sb5
• Loop currents in $A$V${}_3$Sb${}_5$ kagome metals: multipolar and toroidal magnetic orders
• Temperature-driven reorganization of electronic order in CsV${}_3$Sb${}_5$
• Large anomalous Hall effect in the kagome ferromagnet LiMn${}_6$Sn${}_6$
• Competing orders at higher-order Van Hove points
• Evidence of a hidden flux phase in the topological kagome metal CsV${}_3$Sb${}_5$
• Anomalous Hall Effect in Kagome Ferrimagnet GdMn${}_6$Sn${}_6$
• Charge density wave order in kagome metal AV${}_3$Sb${}_5$ (A= Cs, Rb, K)
• Nodal superconductivity and superconducting domes in the topological Kagome metal CsV3Sb5
• 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${}_2$
• Anomalous Hall effect in ferrimagnetic metal RMn6Sn6 (R = Tb, Dy, Ho) with clean Mn kagome lattice
• Manipulation of Jeff=3/2 states by tuning the tetragonal distortion
• 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
• Chiral properties of the zero-field spiral state and field-induced magnetic phases of the itinerant kagome metal YMn${}_6$Sn${}_6$
• Rearrangement of Van-der-Waals Stacking and Formation of a Singlet State at $T=90$ K in a Cluster Magnet
• 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
• Spontaneous symmetry breakings in two-dimensional kagome lattice
• Theory of nematic charge orders in kagome metals
• The effect of the interlayer ordering on the Fermi surface of Kagome superconductor CsV${}_3$Sb${}_5$ revealed by quantum oscillations
• Corner modes of the breathing kagome lattice: origin and robustness
• Spin Hall effect in the kagome lattice with Rashba spin-orbit interaction
• Magnetism and charge density waves in RNiC${}_2$ (R = Ce, Pr, Nd)
• Polarity-dependent charge-density wave in a kagome superconductor CsV3Sb5
• Direct observation of Fe spin reorientation in single crystalline YbFe6Ge6
• Three-Dimensional Real Space Invariants, Obstructed Atomic Insulators and A New Principle for Active Catalytic Sites
• Filling-Enforced Obstructed Atomic Insulators
• 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)
• 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 (64)

• Chiral kagome superconductivity modulations with residual Fermi arcs in KV3Sb5 and CsV3Sb5
• Two-dimensional Kagome Materials: Theoretical Insights, Experimental Realizations, and Electronic Structures
• Magnetic-coupled electronic landscape in bilayer-distorted titanium-based kagome metals
• Roadmap on Quantum Magnetic Materials
• Kagome metals
• 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
• AV${}_3$Sb${}_5$ kagome superconductors: a review with transport measurements
• Spectroscopic origin of giant anomalous Hall effect in an interwoven magnetic kagome metal
• Magnetoelectric behavior of breathing kagomé monolayers of ${\mathrm{Nb}}_3{(\mathrm{Cl},\mathrm{Br},\mathrm{I})}_8$ from first-principles calculations
• Observation of Multiple Topological Corner States in Thermal Diffusion
• Perspective: imaging atomic step geometry to determine surface terminations of kagome materials and beyond
• Quantum oscillation studies of the nodal line semimetal Ni3In2S2-xSex
• ErMn${}_6$Sn${}_6$: A Promising Kagome Antiferromagnetic Candidate for Room-Temperature Nernst Effect-based thermoelectrics
• Fully-gapped superconductivity with rotational symmetry breaking in pressurized kagome metal CsV${}_3$Sb${}_5$
• 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${}_5$
• Lattice dynamics study of electron-correlation-induced charge density wave in antiferromagnetic kagome metal FeGe
• 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
• Breathing-Driven Metal-Insulator Transition in Correlated Kagome Systems
• The spin-orbital Kitaev model: from kagome spin ice to classical fractons
• Nonlinear optical response in kagome lattice with inversion symmetry breaking
• Giant Self Spin-Valve Effect in the Kagome Helimagnet
• Constraints on the orbital flux phase in $A$V${}_3$Sb${}_5$ from polar Kerr effect
• Ferromagnetic Resonance Spectroscopy on the Kagome Magnet MgMn${}_6$Sn${}_6$
• Observation of Resonance of Kagome Flat Band Doublet
• 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
• Incommensurate and commensurate antiferromagnetic orders in the kagome compound UV${}_6$Sn${}_6$
• Quantum Metric-induced Oscillations in Flat Bands
• Unconventional superconductivity in Sc${}_2$Ir${}_{4-x}$Si${}_x$ by spin-orbit coupling driven flat band
• Anomalous Nernst Effect and Its Implications for Time-Reversal Symmetry Breaking in Kagome Metal ScV6Sn6
• 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
• Topological Aspects of Dirac Fermions in a Kagomé Lattice
• Orbital inversion and emergent lattice dynamics in infinite layer CaCoO${}_2$
• Recent progress in quantum spin liquids, fractional magnetization plateaus, and unconventional superconductivity in kagome lattices
• Weak low-temperature ferromagnetism and linear magnetoresistance in Lu${}_{0.75}$Fe${}_6$Sn${}_6$ with a disordered HfFe${}_6$Ge${}_6$-type structure
• 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
• Beyond kagome: $p$-bands in kagome metals
• Current-induced magnetoresistance hysteresis in the kagome superconductor CsV${}_3$Sb${}_5$
• Crystal structure, properties and pressure-induced insulator-metal transition in layered kagome chalcogenides
• Magnetic Interactions in the Polar Ferrimagnet with a Bipartite Structure
• Magnetism of kagome metals $\left({\text{Fe}}_{1-x}{\text{Co}}_x\right)\text{Sn}$ studied by $\mu$SR
• Tunable intertwining via collective excitations
• Stabilizing Itinerant Electrons in a Corner-Sharing Kagomé Oxide Nd4Os3ZnO14
• Topological pair density waves in kagome superconductors
• Evolution from Topological Dirac Metal to Flat-band-Induced Antiferromagnet in Layered KxNi4S2 (0<=x<=1)
• Magnetization of electronic ground states in frustrated superstable graphs
• Magnetic response and antiferromagnetic correlations in strained kagome ribbons
• Epitaxial growth and magneto-transport properties of kagome metal FeGe thin films
• Single crystal growth, structural and physical properties, and absence of a charge density wave in Ti_{0.85}Fe6Ge6
• Theory of unconventional magnetism in a Cu-based kagome metal
• Nature of magnetic exchange interactions in kagome antiferromagnets FeGe and FeSn
• Magnetic and electric properties of the metallic kagome antiferromagnet CrRhAs
• Synergistic doping and stabilization of magnetically tunable LnTi${}_3$(Sb,Sn)${}_4$ (Ln:Ce--Gd) kagome metals
• Mott-Derived Local Moments and Kondo Hybridization in a d-electron Kagome lattice