Topological kagome magnets and superconductors
arXiv:2212.11628 · doi:10.1038/s41586-022-05516-0
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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- Perspective: imaging atomic step geometry to determine surface terminations of kagome materials and beyond
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- Topological two-body bands in a multiband Hubbard model
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- Crystal structure, properties and pressure-induced insulator-metal transition in layered kagome chalcogenides
- Limitations of detecting structural changes and time-reversal symmetry breaking in scanning tunneling microscopy experiments
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- Robust Orbital-Selective Flat Bands in Transition-Metal Oxychlorides
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- Role of On-site and Inter-site Coulomb Interactions in KVSb: A first-principles DFT++ study
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- Beyond kagome: -bands in kagome metals
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- Quantum Magnetism in Wannier-Obstructed Mott Insulators
- Non-Abelian line graph: A generalized approach to flat bands
- Spin photonic topological metasurface based on kagome lattice and leaky-wave application
- Frustration-free free fermions
- Spin order and excitations in the collinear kagome antiferromagnet YFeSn
- Magnetic anisotropy effect on stabilizing magnetization plateaus of kagome strip chain Heisenberg antiferromagnets
- Engineering correlated Dirac fermions and flat bands on SiC with transition-metal adatom lattices
- Theory of unconventional magnetism in a Cu-based kagome metal
- Magnetization-Tunable Topological Phase Transitions in Ferromagnetic Kagome Monolayers of CoXY (; )
- Diverse electronic topography in a distorted kagome metal LaTi3Bi4
- High-throughput study of kagome compounds in the AV3Sb5 family
- Topological electron and phonon flat bands in novel kagome superconductor XPd5 (X=Ca, Sr, Ba)
- Singular flat bands in three dimensions: Landau level spreading, quantum geometry, and Weyl reconstruction
- Spin-polarized triplet excitonic insulators in Ta3X8 (X=I, Br) monolayers
- Electronic and structural properties of Rh- and Pd-based kagome layered shandites from first principles
- Investigating the Electrical Transport Properties and Electronic Structure of Zr2CuSb3
- Nature of magnetic exchange interactions in kagome antiferromagnets FeGe and FeSn
- Single crystal growth, structural and physical properties, and absence of a charge density wave in Ti_{0.85}Fe6Ge6
- Chern insulators and topological flat bands in cavity-embedded kagome systems
- Topological Pseudospin Hall Effect and Multi-frequency Corner Modes in Kagome-based Lattices
- Synergistic doping and stabilization of magnetically tunable LnTi(Sb,Sn) (Ln:Ce--Gd) kagome metals
- Mott-Derived Local Moments and Kondo Hybridization in a d-electron Kagome lattice
- Complex Temperature-dependent Thermal Conductivity in a Sawtooth Chain Magnet FeSiSe
- 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
- Epitaxial growth and magneto-transport properties of kagome metal FeGe thin films
- Evolution from Topological Dirac Metal to Flat-band-Induced Antiferromagnet in Layered KxNi4S2 (0<=x<=1)
- NMR study of the local magnetic order in the kagome Weyl semimetal CoSnS
- Binary kagome superconducting candidates hosting topological electronic states
- Monolayer van der Waals kagome lattice for high-temperature flat-band physics