Coexistence of Tri-Hexagonal and Star-of-David Pattern in the Charge Density Wave of the Kagome Superconductor AV${}_3$Sb${}_5$

Abstract

The recently discovered layered kagome metals AV${}_3$Sb${}_5$(A=K, Rb, Cs) have attracted much attention because of their unique combination of superconductivity, charge density wave (CDW) order, and nontrivial band topology. The CDW order with an in-plane 2x2 reconstruction is found to exhibit exotic properties, such as time-reversal symmetry breaking and rotational symmetry breaking. However, the nature of the CDW, including its dimensionality, structural pattern, and effect on electronic structure, remains elusive despite intense research efforts. Here, using angle-resolved photoemission spectroscopy, we unveil for the first time characteristic double-band splittings and band reconstructions, as well as the band gap resulting from band folding, in the CDW phase. Supported by density functional theory calculations, we unambiguously show that the CDW in AV${}_3$Sb${}_5$ originates from the intrinsic coexistence of Star-of-David and Tri-Hexagonal distortions. The alternating stacking of these two distortions naturally leads to three-dimensional 2x2x2 or 2x2x4 CDW order. Our results provide crucial insights into the nature and distortion pattern of the CDW order, thereby laying down the basis for a substantiated understanding of the exotic properties in the family of AV${}_3$Sb${}_5$ kagome metals.

References in corpus (48)

• Angle-resolved photoemission spectroscopy of the cuprate superconductors
• Spin Liquid Ground State of the $S=1/2$ Kagome Heisenberg Model
• Fractionalized excitations in the spin liquid state of a kagomé lattice antiferromagnet
• CsV${}_3$Sb${}_5$: a ${\mathbb{Z}}_2$ topological kagome metal with a superconducting ground state
• Massive Dirac fermions in a ferromagnetic kagome metal
• Discovery of unconventional chiral charge order in kagome superconductor KV3Sb5
• Dirac fermions and flat bands in the ideal kagome metal FeSn
• Roton pair density wave and unconventional strong-coupling superconductivity in a topological kagome metal
• Herbertsmithite and the Search for the Quantum Spin Liquid
• Topological insulator on the kagome lattice
• Cascade of correlated electron states in a kagome superconductor CsV3Sb5
• Discovery of a quantum limit Chern magnet TbMn6Sn6
• Unconventional Fermi surface instabilities in the Kagome Hubbard Model
• Time-reversal symmetry-breaking charge order in a kagome superconductor
• Charge density waves and electronic properties of superconducting kagome metals
• Competing electronic orders on Kagome lattices at van Hove filling
• Superconductivity in the ${\mathbb{Z}}_2$ kagome metal KV${}_3$Sb${}_5$
• Negative flat band magnetism in a spin-orbit coupled correlated kagome magnet
• Double superconducting dome and triple enhancement of Tc in the kagome superconductor CsV3Sb5 under high pressure
• Concurrence of anomalous Hall effect and charge density wave in a superconducting topological kagome metal
• Three-dimensional charge density wave and robust zero-bias conductance peak inside the superconducting vortex core of a kagome superconductor CsV${}_3$Sb${}_5$
• Superconductivity and normal-state properties of kagome metal RbV3Sb5 single crystals
• Electrical Manipulation of a Topological Antiferromagnetic State
• Evidence for a Gapped Spin-Liquid Ground State in a Kagome Heisenberg Antiferromagnet
• Observation of Unconventional Charge Density Wave without Acoustic Phonon Anomaly in Kagome Superconductors AV3Sb5 (A=Rb,Cs)
• Chiral flux phase in the Kagome superconductor AV${}_3$Sb${}_5$
• Analysis of Charge Order in the Kagome Metal $A$V${}_3$Sb${}_5$ ($A=$K,Rb,Cs)
• Electronic instabilities of kagome metals: saddle points and Landau theory
• Sublattice Interference in the Kagome Hubbard Model
• Electronic Nature of Charge Density Wave and Electron-Phonon Coupling in Kagome Superconductor KV${}_3$Sb${}_5$
• Rotation symmetry breaking in the normal state of a kagome superconductor KV3Sb5
• Rich Nature of Van Hove Singularities in Kagome Superconductor CsV${}_3$Sb${}_5$
• Fermi surface mapping and the nature of charge density wave order in the kagome superconductor CsV${}_3$Sb${}_5$
• Complex charge density waves at Van Hove singularity on hexagonal lattices: Haldane-model phase diagram and potential realization in kagome metals ${\text{AV}}_3{\text{Sb}}_5$
• Twofold symmetry of $c$-axis resistivity in topological kagome superconductor CsV${}_3$Sb${}_5$ with in-plane rotating magnetic field
• Pressure-induced Reemergence of Superconductivity in Topological Kagome Metal CsV3Sb5
• Doped Kagome System as Exotic Superconductor
• Theory of the charge-density wave in $A$V${}_3$Sb${}_5$ kagome metals
• Valence Bond Solids and Their Quantum Melting in Hard-Core Bosons on the Kagome Lattice
• Highly-robust reentrant superconductivity in CsV3Sb5 under pressure
• Multiple Energy Scales and Anisotropic Energy Gap in the Charge-Density-Wave Phase of Kagome Superconductor CsV3Sb5
• Charge-order-assisted topological surface states and flat bands in the kagome superconductor CsV${}_3$Sb${}_5$
• Electron-phonon coupling in the charge density wave state of CsV${}_3$Sb${}_5$
• Interplay of thermal and quantum spin fluctuations on the kagome lattice
• Possible star-of-David pattern charge density wave with additional modulation in the kagome superconductor CsV${}_3$Sb${}_5$
• Temperature-driven reorganization of electronic order in CsV${}_3$Sb${}_5$
• Refining the Spin Hamiltonian in the Spin-1/2 Kagome Lattice Antiferromagnet ZnCu${}_3$(OH)${}_6$Cl${}_2$ using Single Crystals
• Distinct band reconstructions in kagome superconductor CsV${}_3$Sb${}_5$

Cited by in corpus (54)

• Quantum states and intertwining phases in kagome materials
• AV${}_3$Sb${}_5$ Kagome Superconductors: Progress and Future Directions
• Bulk evidence of anisotropic $s$-wave pairing with no sign change in the kagome superconductor CsV${}_3$Sb${}_5$
• Competing superconductivity and charge-density wave in Kagome metal CsV3Sb5: evidence from their evolutions with sample thickness
• Structural evolution of the kagome superconductors $A$V${}_3$Sb${}_5$ ($A$ = K, Rb, and Cs) through charge density wave order
• Phonon promoted charge density wave in topological kagome metal ScV${}_6$Sn${}_6$
• Theory of nematic charge orders in kagome metals
• Evolution of highly anisotropic magnetism in the titanium-based kagome metals LnTi${}_3$Bi${}_4$ (Ln: La...Gd${}^{3+}$, Eu${}^{2+}$, Yb${}^{2+}$)
• Microscopic nature of the charge-density wave in kagome superconductor RbV${}_3$Sb${}_5$
• Commensurate-to-incommensurate transition of charge-density-wave order and a possible quantum critical point in pressurized kagome metal CsV${}_3$Sb${}_5$
• Intertwined van-Hove Singularities as a Mechanism for Loop Current Order in Kagome Metals
• Electronic Landscape of Kagome Superconductors $\text{A}$V${}_3$Sb${}_5$ ($\text{A}$ = K, Rb, Cs) from Angle-Resolved Photoemission Spectroscopy
• Surface-termination-dependent electronic states in kagome superconductors AV3Sb5 (A = K, Rb, Cs) studied by micro-ARPES
• Charge order above room-temperature in a prototypical kagome superconductor La(Ru${}_{1-x}$Fe${}_x$)${}_3$Si${}_2$
• Electrical and thermal transport properties of kagome metals $A$Ti${}_3$Bi${}_5$ ($A$ = Rb, Cs)
• Modified interlayer stacking and insulator to correlated-metal transition driven by uniaxial strain in 1$T$-TaS${}_2$
• YbV${}_3$Sb${}_4$ and EuV${}_3$Sb${}_4$, vanadium-based kagome metals with Yb${}^{2+}$ and Eu${}^{2+}$ zig-zag chains
• Origin of $\pi$-shifted three-dimensional charge density waves in kagome metal AV${}_3$Sb${}_5$
• Pressure evolution of electron dynamics in the superconducting kagome metal CsV${}_3$Sb${}_5$
• Diverse electronic landscape of the kagome metal YbTi3Bi4
• Emergent topological quantum orbits in the charge density wave phase of kagome metal CsV${}_3$Sb${}_5$
• 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
• Crossover between electron-electron and electron-phonon mediated pairing on the Kagome lattice
• Large Fermi surface in pristine kagome metal CsV${}_3$Sb${}_5$ and enhanced quasiparticle effective masses
• Low-Energy Electronic Structure in the Unconventional Charge-Ordered State of ScV${}_6$Sn${}_6$
• Uniaxial strain tuning of charge modulation and singularity in a kagome superconductor
• Similarities and Differences in the Fermiology of Kagome Metals AV${}_3$Sb${}_5$ (A=K, Rb, Cs) Revealed by Shubnikov-de Haas Oscillations
• Enhanced nematicity emerging from higher-order van Hove singularities
• Phase-Separated Charge Order and Twinning Across Length Scales in CsV${}_3$Sb${}_5$
• Theory of charge-6e condensed phase in Kagome lattice superconductors
• Dynamical decoding of the competition between charge density waves in a kagome superconductor
• Two elementary band representation model, Fermi surface nesting, and surface topological superconductivity in $A$V${}_3$Sb${}_5$ ($A=\text{K, Rb, Cs}$)
• Origin of anomalous magnetotransport in kagome superconductors AV${}_3$Sb${}_5$ (A=K,Rb,Cs)
• Kagome materials $A$V${}_3$Sb${}_5$ ($A$=K,Rb,Cs): pairing symmetry and pressure-tuning studies
• Anomalous Magnetotransport in the Paramagnetic State of a Magnetic Kagome Metal EuTi${}_3$Bi${}_4$
• 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
• Revealing Rotational Symmetry Breaking Charge-density Wave Order in Kagome Superconductor (Rb, K)V${}_3$Sb${}_5$ by Ultrafast Pump-probe Experiments
• Phase coherence of charge-$6e$ superconductors via a frustrated Kagome XY antiferromagnet
• Interplay of superconductivity and charge-density-wave order in kagome materials
• Photoemission Insights to Electronic Orders in Kagome Superconductor AV3Sb5
• Coherent Phonon Pairs and Rotational Symmetry Breaking of Charge Density Wave Order in the Kagome Superconductor CsV${}_3$Sb${}_5$
• Impact of charge-density-wave pattern on the superconducting gap in V-based kagome superconductors
• Inversion and Tunability of Van Hove Singularities in $A$V${}_3$Sb${}_5$ ($A$ = K, Rb, and Cs) kagome metals
• Distinct pressure evolution of superconductivity and charge-density-wave in kagome superconductor CsV${}_3$Sb${}_5$ thin flakes
• Charge-density wave fluctuation driven composite order in the layered Kagome Metals
• Constraints on the orbital flux phase in $A$V${}_3$Sb${}_5$ from polar Kerr effect
• Stacking-Dependent Van Hove Singularity Shifts in Three-Dimensional Charge Density Waves of Kagome Metals AV${}_3$Sb${}_5$ (A = K, Rb, Cs)
• Frustrated phonon with charge density wave in vanadium Kagome metal
• Evolution of charge correlations in the hole-doped kagome superconductor CsV${}_{3-x}$Ti${}_x$Sb${}_5$
• Incommensurate charge-stripe correlations in the kagome superconductor CsV${}_3$Sb${}_{5-x}$Sn${}_x$
• Inter-Layer Correlation of Loop Current Charge Density Wave on the Bilayer Kagomé Lattice
• Enhanced Coupling of Superconductivity and Evolution of Gap Structure in CsV3Sb5 through Ta Doping
• Microscopic origin of period-four stripe charge-density-wave in kagome metal CsV${}_3$Sb${}_5$
• High-throughput study of kagome compounds in the AV3Sb5 family