Discovery of a quantum limit Chern magnet TbMn6Sn6

Abstract

The quantum level interplay between geometry, topology, and correlation is at the forefront of fundamental physics. Owing to the unusual lattice geometry and breaking of time-reversal symmetry, kagome magnets are predicted to support intrinsic Chern quantum phases. However, quantum materials hosting ideal spin-orbit coupled kagome lattices with strong out-of-plane magnetization have been lacking. Here we use scanning tunneling microscopy to discover a new topological kagome magnet TbMn6Sn6, which is close to satisfying the above criteria. We visualize its effectively defect-free purely Mn-based ferromagnetic kagome lattice with atomic resolution. Remarkably, its electronic state exhibits distinct Landau quantization upon the application of a magnetic field, and the quantized Landau fan structure features spin-polarized Dirac dispersion with a large Chern gap. We further demonstrate the bulk-boundary correspondence between the Chern gap and topological edge state, as well as the Berry curvature field correspondence of Chern gapped Dirac fermions. Our results point to the realization of a quantum-limit Chern phase in TbMn6Sn6, opening up an avenue for discovering topological quantum phenomena in the RMn6Sn6 (R = rare earth element) family with a variety of magnetic structures. Our visualization of the magnetic bulk-boundary-Berry correspondence covering real and momentum space demonstrates a proof-of-principle method revealing topological magnets.

To appear in Nature (2020)

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Cited by in corpus (177)

• Topological kagome magnets and superconductors
• Progress and prospects in magnetic topological materials
• Superconductivity and normal-state properties of kagome metal RbV3Sb5 single crystals
• Discovery of charge density wave in a correlated kagome lattice antiferromagnet
• Three-state nematicity and magneto-optical Kerr effect in the charge density waves in kagome superconductors
• Quantum states and intertwining phases in kagome materials
• Intertwined magnetism and charge density wave order in kagome FeGe
• AV${}_3$Sb${}_5$ Kagome Superconductors: Progress and Future Directions
• Tunable nodal kagome superconductivity in charge ordered RbV3Sb5
• Spin-split collinear antiferromagnets: a large-scale ab-initio study
• Probing topological quantum matter with scanning tunnelling microscopy
• Charge order breaks time-reversal symmetry in CsV${}_3$Sb${}_5$
• 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
• Tunable Topological Dirac Surface States and Van Hove Singularities in Kagome Metal GdV${}_6$Sn${}_6$
• Large anomalous Hall effect in the kagome ferromagnet LiMn${}_6$Sn${}_6$
• Coexistence of Tri-Hexagonal and Star-of-David Pattern in the Charge Density Wave of the Kagome Superconductor AV${}_3$Sb${}_5$
• Topological Quantum Materials with Kagome Lattice
• Softening of a flat phonon mode in the kagome ScV${}_6$Sn${}_6$
• Abundant lattice instability in kagome metal ScV${}_6$Sn${}_6$
• Spin-phonon coupling driven Charge density wave in a Kagome Magnet
• Anomalous Hall effect in ferrimagnetic metal RMn6Sn6 (R = Tb, Dy, Ho) with clean Mn kagome lattice
• Field-linear anomalous Hall effect and Berry curvature induced by spin chirality in the kagome antiferromagnet Mn3Sn
• Exchange-biased topological transverse thermoelectric effects in a Kagome ferrimagnet
• Anisotropically large anomalous and topological Hall effect in a kagome magnet
• Uniaxial ferromagnetism in the kagome metal TbV${}_6$Sn${}_6$
• Correlated order at the tipping point in the kagome metal CsV${}_3$Sb${}_5$
• Optical spectroscopy and band structure calculations of structural phase transition in the Vanadium-based kagome metal ScV${}_6$Sn${}_6$
• 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${}_5$
• Thermal Hall effects in quantum magnets
• Anisotropic magnetic property of single crystals $R$V${}_6$Sn${}_6$ ($R$ = Y, Gd - Tm, Lu)
• Highly anisotropic magnetism in the vanadium-based kagome metal TbV6Sn6
• Quantum Interactions in Topological R166 Kagome Magnet
• Topological thermal transport
• Interplay between magnetism and band topology in Kagome magnets $R$Mn${}_6$Sn${}_6$
• Non-Fermi liquid behavior in a correlated flatband pyrochlore lattice
• Enhanced Spin-polarization via Partial Ge1-dimerization as the Driving Force of the 2$\times$2$\times$2 CDW in FeGe
• Three-dimensional energy gap and origin of charge-density wave in kagome superconductor KV3Sb5
• Evolution of highly anisotropic magnetism in the titanium-based kagome metals LnTi${}_3$Bi${}_4$ (Ln: La...Gd${}^{3+}$, Eu${}^{2+}$, Yb${}^{2+}$)
• Unconventional Optical Rotation in the Charge Ordered State of Kagome Metal CsV3Sb5
• Plethora of tunable Weyl fermions in kagome magnet Fe3Sn2 thin films
• Nanoscale visualization and spectral fingerprints of the charge order in ScV6Sn6 distinct from other kagome metals
• Robust Kagome Electronic Structure in Topological Quantum Magnets XMn6Sn6 (X = Dy, Tb, Gd, Y)
• Transport response of topological hinge modes in $\alpha$-Bi${}_4$Br${}_4$
• Correlated Electronic Structure and Incipient Flat Bands of the Kagome Superconductor CsCr3Sb5
• Quantum oscillations revealing topological band in kagome metal ScV6Sn6
• Local gate control of Mott metal-insulator transition in a 2D metal-organic framework
• Novel three-dimensional Fermi surface and electron-correlation-induced charge density wave in FeGe
• Discovery of a hybrid topological quantum state in an elemental solid
• What's knot to like? Observation of a linked loop quantum state
• Magnetic interactions and possible structural distortion in kagome FeGe from first-principles study and symmetry analysis
• Monolayer Kagome Metals AV${}_3$Sb${}_5$
• Intrinsic Magnetic Topological Materials
• Discovery and construction of surface kagome electronic states induced by p-d electronic hybridization
• Manipulation of Dirac band curvature and momentum-dependent g-factor in a kagome magnet YMn6Sn6
• Origin of spin reorientation and intrinsic anomalous Hall effect in the kagome ferrimagnet TbMn6Sn6
• Triangular Kondo lattice in $\mathrm{Yb}{\mathrm{V}}_6\mathrm{S}{\mathrm{n}}_6$ and its quantum critical behaviors in magnetic field
• High-order Van Hove singularities and their connection to flat bands
• Tunable magnetism and electron correlation in Titanium-based Kagome metals RETi3Bi4 (RE = Yb, Pr, and Nd) by rare-earth engineering
• Pseudogap behavior in charge density wave kagome material ScV${}_6$Sn${}_6$ revealed by magnetotransport measurements
• Flat-Band Enhanced Antiferromagnetic Fluctuations and Superconductivity in Pressurized CsCr${}_3$Sb${}_5$
• Corner- and sublattice-sensitive Majorana zero modes on the kagome lattice
• Observation of flat and weakly dispersing bands in a van der Waals semiconductor Nb3Br8 with breathing kagome lattice
• New insight into tuning magnetic phases of $R$Mn${}_6$Sn${}_6$ kagome metals
• Van-Hove annihilation and nematic instability on a Kagome lattice
• Orbital character of the spin-reorientation transition in TbMn${}_6$Sn${}_6$
• Visualizing the out-of-plane electronic dispersions in an intercalated transition metal dichalcogenide
• Anomalous Nernst effect in a ferrimagnetic nodal-line semiconductor Mn${}_3$Si${}_2$Te${}_6$
• Anisotropic magnetism and band evolution induced by ferromagnetic phase transition in titanium-based kagome ferromagnet SmTi3Bi4
• Unusual magnetotransport and anomalous Hall effect in quasi-two-dimensional van der Waals ferromagnet Fe${}_4$GeTe${}_2$
• Spin-polarized imaging of the antiferromagnetic structure and field-tunable bound states in kagome magnet FeSn
• Effect of magnetism and phonons on localized carriers in the ferrimagnetic kagome metals GdMn${}_6$Sn${}_6$ and TbMn${}_6$Sn${}_6$
• YbV${}_3$Sb${}_4$ and EuV${}_3$Sb${}_4$, vanadium-based kagome metals with Yb${}^{2+}$ and Eu${}^{2+}$ zig-zag chains
• CryoCiM: Cryogenic Compute-in-Memory based on the Quantum Anomalous Hall Effect
• Colossal orbital Zeeman effect driven by tunable spin-Berry curvature in a kagome metal
• Distinct switching of chiral transport in the kagome metals KV${}_3$Sb${}_5$ and CsV${}_3$Sb${}_5$
• Toward a first-principles theory of rare-earth ions in crystals
• Spin density wave and van Hove singularity in the kagome metal CeTi3Bi4
• Visualizing symmetry-breaking electronic orders in epitaxial Kagome magnet FeSn films
• Room-temperature ferromagnetism in epitaxial bilayer FeSb/SrTiO3(001) terminated with a Kagome lattice
• \textit{Ab initio} study on spin fluctuations of itinerant kagome magnet FeSn
• Spin Excitations and Flat Electronic Bands in a Cr-based Kagome Superconductor
• Tuning intrinsic anomalous Hall effect from large to zero in two ferromagnetic states of SmMn2Ge2
• Magnetic kagome materials RETi3Bi4 family with weak interlayer interactions
• Chiral and flat-band magnetic cluster excitations in a ferromagnetic kagome metal
• Magnetic-coupled electronic landscape in bilayer-distorted titanium-based kagome metals
• Diverse electronic landscape of the kagome metal YbTi3Bi4
• Quantum oscillations in kagome metals (Ti, Zr, Hf)V6Sn6 at Van Hove filling
• Kagome metals
• Intricate magnetic landscape in antiferromagnetic kagome metal TbTi${}_3$Bi${}_4$ and interplay with Ln${}_{2-x}$Ti${}_{6+x}$Bi${}_9$ (Ln: Tb-Lu) shurikagome metals
• Realization of Kagome Kondo lattice
• Persistent flat band splitting and strong selective band renormalization in a kagome magnet thin film
• Experimental signatures of versatile Weyl semimetal in pyrochlore iridate with spin-ice like magnetic orders
• Charge Dynamics of an Unconventional Three-Dimensional Charge Density Wave in Kagome FeGe
• Chemical Principles of Intrinsic Topological Superconductors
• Topological and disorder corrections to the transverse Wiedemann-Franz law and Mott relation in kagome magnets
• Kagome Materials I: SG 191, ScV${}_6$Sn${}_6$. Flat Phonon Soft Modes and Unconventional CDW Formation: Microscopic and Effective Theory
• Flat optical conductivity in the topological kagome magnet TbMn${}_6$Sn${}_6$
• Planar Hall effect caused by the memory of antiferromagnetic domain walls in Mn${}_3$Ge
• Electronic band structures of topological kagome materials
• Incommensurate Magnetic Order in the ${\mathbb{Z}}_2$ Kagome Metal GdV${}_6$Sn${}_6$
• Anisotropic transport properties and topological Hall effect in the annealed kagome antiferromagnet FeGe
• The role of electron correlations in the electronic structure of putative Chern magnet TbMn${}_6$Sn${}_6$
• Orbital-selective effect of spin reorientation on the Dirac fermions in a non-charge-ordered kagome ferromagnet Fe${}_3$Ge
• Discovery of a Topological Charge Density Wave
• Ground-state magnetic structures of topological kagome metals RV${}_6$Sn${}_6$ (R = Tb, Dy, Ho, Er)
• Electronic orders on the kagome lattice at the lower Van Hove filling
• FeGe1-xSbx:a series of novel kagome metals with noncollinear antiferromagnetism
• Tuning multiple Landau Quantization in Transition-Metal Dichalcogenide with Strain
• Spectroscopic origin of giant anomalous Hall effect in an interwoven magnetic kagome metal
• Unraveling the origin of Kondo-like behavior in the 3$d$-electron heavy-fermion compound YFe${}_2$Ge${}_2$
• Perspective: imaging atomic step geometry to determine surface terminations of kagome materials and beyond
• Interplay between Chiral Charge Density Wave and Superconductivity in Kagome Superconductors: A Self-consistent Theoretical Analysis
• High-field magnetic phase diagrams of the $\text{R}$Mn${}_6$Sn${}_6$ kagome metals
• Kagome surface states and weak electronic correlation in vanadium-kagome metals
• Three-dimensional higher-order saddle points induced flat bands in Co-based kagome metals
• Intriguing kagome topological materials
• Evidence for electronic signature of magnetic transition in topological magnet HoSbTe
• Topological magnon in exchange frustration driven incommensurate spin spiral of a kagome lattice YMn${}_6$Sn${}_6$
• Electronic Correlation Effects on Stabilizing a Perfect Kagome Lattice and Ferromagnetic Fluctuation in LaRu${}_3$Si${}_2$
• ErMn${}_6$Sn${}_6$: A Promising Kagome Antiferromagnetic Candidate for Room-Temperature Nernst Effect-based thermoelectrics
• Giant coercivity and enhanced intrinsic anomalous Hall effect at vanishing magnetization in a compensated kagome ferrimagnet
• Fermi surface of magnetic kagome compound GdV6Sn6 investigated using de Haas van Alphen Oscillations
• Intrinsic and extrinsic anomalous transport properties in noncollinear antiferromagnetic Mn${}_3$Sn from first-principle calculations
• Symmetry-protected Dirac nodal lines and large spin Hall effect in ${\mathbf{V}}_6\mathbf{S}{\mathbf{b}}_4$ with kagome bilayer
• 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
• Loop Current Order on the Kagome Lattice
• Tunable bifurcation of magnetic anisotropy and bi-oriented antiferromagnetic order in kagome metal GdTi3Bi4
• Large Anomalous and Topological Hall Effect and Nernst Effect in a Dirac Kagome Magnet Fe3Ge
• Kagome Metal GdNb${}_6$Sn${}_6$: A 4d Playground for Topological Magnetism and Electron Correlations
• Competing Lattice Instability and Magnetism on the Surface of Kagome Metals
• Encoding innumerable charge density waves of FeGe into polymorphs of LiFe6Ge6
• Characterization of the Magnetocaloric Effect in RMn6Sn6 including High Entropy Alloys
• Observation of multiple flat bands and van Hove singularities in the distorted kagome metal NdTi3Bi4
• Atomic Layer Molecular Beam Epitaxy of Kagome Magnet RMn${}_6$Sn${}_6$ (R = Er, Tb) Thin Films
• Coexisting Kagome and Heavy Fermion Flat Bands in YbCr${}_6$Ge${}_6$
• Magnetic order and physical properties of the Kagome metal UNb${}_6$Sn${}_6$
• Designing Topological High-Order Van Hove Singularities: Twisted Bilayer Kagomé
• Strongly Entangled Kondo and Kagome Lattices and the Emergent Magnetic Ground State in Heavy-Fermion Kagome Metal YbV${}_6$Sn${}_6$
• Correlation stabilized ferromagnetic MnRuAs with distorted kagome lattice
• Successive orthorhombic distortions in kagome metals by molecular orbital formation
• Incommensurate and commensurate antiferromagnetic orders in the kagome compound UV${}_6$Sn${}_6$
• Emergent dynamical Kondo coherence and competing magnetic order in a correlated kagome flat-band metal CsCr6Sb6
• Anisotropic response of defect bound states to magnetic field in epitaxial FeSn films
• Robust topological state against magnetic impurities observed in superconductor PbTaSe2
• Slow ferromagnetic fluctuations in the kagome metal Sc${}_3$Mn${}_3$Al${}_7$Si${}_5$ revealed by ${}^{27}$Al NMR
• Weak low-temperature ferromagnetism and linear magnetoresistance in Lu${}_{0.75}$Fe${}_6$Sn${}_6$ with a disordered HfFe${}_6$Ge${}_6$-type structure
• Anomalous Nernst Effect and Its Implications for Time-Reversal Symmetry Breaking in Kagome Metal ScV6Sn6
• Topological Aspects of Dirac Fermions in a Kagomé Lattice
• Room temperature quantum metric effect in TbMn6Sn6
• Nature of quantum criticality in the Ising ferromagnet TbV${}_6$Sn${}_6$
• Crystal structure, properties and pressure-induced insulator-metal transition in layered kagome chalcogenides
• Logarithmic Criticality in Transverse Thermoelectric Conductivity of the Ferromagnetic Topological Semimetal CoMnSb
• Chiral electronic excitations and strong electron-phonon coupling to Weyl fermions in the Kagome semimetal Co${}_3$Sn${}_2$S${}_2$
• Evolution of electronic and magnetic properties in Mn- and Co-alloyed ferromagnetic kagome metal Fe3Sn2
• Density-wave like behavior in a new Kagome material Ce${}_2$Ru${}_3$Si
• Nematic correlations and nematic Berezinskii-Kosterlitz-Thouless transition in spin-1 kagome lattice antiferromagnets
• Noncollinear antiferromagnetic structure and physical properties of CrRhAs with distorted kagome lattice
• Correlation-driven non-trivial phases in single bi-layer Kagome intermetallics
• Precompression engineering of metal-insulator transition and magnetism in designed breathing kagome systems
• Kagome edge states under lattice termination, spin-orbit coupling, and magnetic order
• Computational prediction of ferromagnetic AT6X6 kagome compounds
• Diverse electronic topography in a distorted kagome metal LaTi3Bi4
• Chern insulators and topological flat bands in cavity-embedded kagome systems
• Nature of magnetic exchange interactions in kagome antiferromagnets FeGe and FeSn
• Engineering magnetic anisotropy and ferromagnetism in topological Kagome metal GdV6Sn6 via Nd substitution
• Topological Lifshitz transition-induced bipolarity of anomalous Nernst effect in kagome magnet YCo3
• Stabilizing Itinerant Electrons in a Corner-Sharing Kagomé Oxide Nd4Os3ZnO14
• Probing Quantum Geometric Phases via Scanning Tunneling Microscopy
• Chiral Magnon Mixing by Symmetry-Breaking in Collinear Ferrimagnets
• Topological pair density waves in kagome superconductors
• Investigating the intrinsic anomalous Hall effect in MnPt3 topological semimetal
• Revealing magnetism in the distorted kagome $R$Ti${}_3$Bi${}_4$ ($R$ = Nd, Sm, Gd) via ARPES and XMCD
• Evolution from Topological Dirac Metal to Flat-band-Induced Antiferromagnet in Layered KxNi4S2 (0<=x<=1)
• Omnidirectional magnetic imaging of magnetic anisotropy and phase transitions