Coherent phonon spectroscopy and interlayer modulation of charge density wave order in the kagome metal CsV${}_3$Sb${}_5$

Abstract

The recent discovery of the $A$V${}_3$Sb${}_5$ ($A=$ K, Rb, Cs) material family offers an exciting opportunity to investigate the interplay of correlations, topology, and superconductivity in kagome metals. The low energy physics of these materials is dominated by an unusual charge density wave phase, but little is understood about the true nature of the order parameter. In this work, we use a combination of ultrafast coherent phonon spectroscopy and first-principles density functional theory calculations to investigate the charge density wave order in CsV${}_3$Sb${}_5$. We find that the charge density wave is the result of a simultaneous condensation of three optical phonon modes at one $M$ and two $L$ points. This distortion can be described as tri-hexagonal ordering with an interlayer modulation along the $c$ axis. It breaks the $C_6$ rotational symmetry of the crystal and may offer a natural explanation for reports of uniaxial order at lower temperatures in this material family.

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• CsV${}_3$Sb${}_5$: a ${\mathbb{Z}}_2$ topological kagome metal with a superconducting ground state
• Roton pair density wave and unconventional strong-coupling superconductivity in a topological kagome metal
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• Doped Kagome System as Exotic Superconductor
• Highly-robust reentrant superconductivity in CsV3Sb5 under pressure
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Cited by in corpus (84)

• Cascade of correlated electron states in a kagome superconductor CsV3Sb5
• Topological kagome magnets and superconductors
• Kagome superconductors AV${}_3$Sb${}_5$ (A=K, Rb, Cs)
• Three-state nematicity and magneto-optical Kerr effect in the charge density waves in kagome superconductors
• Quantum states and intertwining phases in kagome materials
• AV${}_3$Sb${}_5$ Kagome Superconductors: Progress and Future Directions
• Theory of the charge-density wave in $A$V${}_3$Sb${}_5$ kagome metals
• Charge order breaks time-reversal symmetry in CsV${}_3$Sb${}_5$
• Electron-phonon coupling in the charge density wave state of CsV${}_3$Sb${}_5$
• Charge order landscape and competition with superconductivity in kagome metals
• Possible star-of-David pattern charge density wave with additional modulation in the kagome superconductor CsV${}_3$Sb${}_5$
• 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${}_5$
• Evidence of a hidden flux phase in the topological kagome metal CsV${}_3$Sb${}_5$
• Softening of a flat phonon mode in the kagome ScV${}_6$Sn${}_6$
• Charge density wave order in kagome metal AV${}_3$Sb${}_5$ (A= Cs, Rb, K)
• Coexistence of Multiple Stacking Charge Density Waves in Kagome Superconductor ${\mathrm{CsV}}_3{\mathrm{Sb}}_5$
• 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
• Structural evolution of the kagome superconductors $A$V${}_3$Sb${}_5$ ($A$ = K, Rb, and Cs) through charge density wave order
• Observation of electronic nematicity driven by three-dimensional charge density wave in kagome lattice KV${}_3$Sb${}_5$
• Unidirectional coherent quasiparticles in the high-temperature rotational symmetry broken phase of AV3Sb5 kagome superconductors
• Order-disorder Peierls instability in the kagome metal (Cs,Rb)V${}_3$Sb${}_5$
• 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
• Superconductivity from repulsive interactions on the kagome lattice
• Anomalous thermal Hall effect and anomalous Nernst effect of CsV${}_3$Sb${}_5$
• Theory of nematic charge orders in kagome metals
• Optical study of RbV${}_3$Sb${}_5$: Multiple density-wave gaps and phonon anomalies
• The effect of the interlayer ordering on the Fermi surface of Kagome superconductor CsV${}_3$Sb${}_5$ revealed by quantum oscillations
• Large kagome family candidates with topological superconductivity and charge density waves
• Charge density wave order and fluctuations above T${}_{CDW}$ and below superconducting T${}_c$ in the kagome metal CsV${}_3$Sb${}_5$
• Crucial role of out-of-plane Sb-$p$ orbitals in Van Hove singularity formation and electronic correlation for superconducting Kagome metal CsV${}_3$Sb${}_5$
• Origin of Charge Density Wave in Layered Kagome Metal CsV${}_3$Sb${}_5$
• Dynamical Study of the Origin of the Charge Density Wave in $A$V${}_3$Sb${}_5$ ($A=$K, Rb, Cs) Compounds
• Spectroscopic Evidence for a Three-Dimensional Charge Density Wave in Kagome Superconductor CsV${}_3$Sb${}_5$
• Van Hove tuning of AV3Sb5 kagome metals under pressure and strain
• Muon-spin relaxation study of the layered kagome superconductor CsV${}_3$Sb${}_5$
• Electronic properties of correlated kagomé metals AV${}_3$Sb${}_5$(A = K, Rb, Cs): A perspective
• Orbital hybridization-driven charge density wave transition in CsV3Sb5 kagome superconductor
• Impact of Sb degrees of freedom on the charge density wave phase diagram of the kagome metal CsV${}_3$Sb${}_5$
• Superconductivity from Orbital-Selective Electron-Phonon Coupling in $A{\mathrm{V}}_3{\mathrm{Sb}}_5$
• Charge density wave and superconductivity in the kagome metal CsV${}_3$Sb${}_5$ around a pressure-induced quantum critical point
• Distinct band reconstructions in kagome superconductor CsV${}_3$Sb${}_5$
• $\pi$ Phase Interlayer Shift and Stacking Fault in the Kagome Superconductor CsV${}_3$Sb${}_5$
• Direct Observation of Collective Modes of the Charge Density Wave in the Kagome Metal CsV${}_3$Sb${}_5$
• Charge order in the kagome lattice Holstein model: A hybrid Monte Carlo study
• Tri-Hexagonal charge order in kagome metal CsV${}_3$Sb${}_5$ revealed by ${}^{121}$Sb NQR
• FeGe as a building block for the kagome 1:1, 1:6:6, and 1:3:5 families: hidden d-orbital decoupling of flat band sectors, effective models and interaction Hamiltonians
• Phenomenology of bond and flux orders in kagome metals
• Optical spectroscopy and ultrafast pump-probe study of structural phase transition in 1T'-TaTe2
• Kagome metals
• Kagome Materials I: SG 191, ScV${}_6$Sn${}_6$. Flat Phonon Soft Modes and Unconventional CDW Formation: Microscopic and Effective Theory
• Phonon collapse and anharmonic melting of the 3D charge-density wave in kagome metals
• Low-Energy Electronic Structure in the Unconventional Charge-Ordered State of ScV${}_6$Sn${}_6$
• Dynamical decoding of the competition between charge density waves in a kagome superconductor
• Observation of anomalous amplitude modes in the kagome metal CsV${}_3$Sb${}_5$
• Frustrated charge density wave and quasi-long-range bond-orientational order in the magnetic kagome FeGe
• Condensation of preformed charge density waves in kagome metals
• Non-degenerate surface pair density wave in the Kagome superconductor CsV${}_3$Sb${}_5$ -- application to vestigial orders
• AV${}_3$Sb${}_5$ kagome superconductors: a review with transport measurements
• Coherent phonon and unconventional carriers in the magnetic kagome metal Fe${}_3$Sn${}_2$
• Quantifying magnetic field driven lattice distortions in kagome metals at the femto-scale using scanning tunneling microscopy
• 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
• Interplay of superconductivity and charge-density-wave order in kagome materials
• Coherent Phonon Pairs and Rotational Symmetry Breaking of Charge Density Wave Order in the Kagome Superconductor CsV${}_3$Sb${}_5$
• Theories for charge-driven nematicity in kagome metals
• Charge-density wave fluctuation driven composite order in the layered Kagome Metals
• Metastability in Coexisting Competing Orders
• Distinct pressure evolution of superconductivity and charge-density-wave in kagome superconductor CsV${}_3$Sb${}_5$ thin flakes
• Symmetry-broken ground state and phonon mediated superconductivity in Kagome CsV${}_3$Sb${}_5$
• Nanoscale strain manipulation of smectic susceptibility in kagome superconductors
• Nonequilibrium control of kagome metals
• Frustrated phonon with charge density wave in vanadium Kagome metal
• Role of On-site and Inter-site Coulomb Interactions in KV${}_3$Sb${}_5$: A first-principles DFT+$U$+$V$ study
• Inter-Layer Correlation of Loop Current Charge Density Wave on the Bilayer Kagomé Lattice
• Incommensurate charge-stripe correlations in the kagome superconductor CsV${}_3$Sb${}_{5-x}$Sn${}_x$
• Bipolarized Weyl semimetals and quantum crystal valley Hall effect in two-dimensional altermagnetic materials
• Persistence of charge density wave fluctuations in the absence of long-range order in a hole-doped kagome metal
• Research on topological materials using ultrafast spectroscopy
• Effective Ionic Valence and Local Magnetic Moment in Kagome Superconductors
• Charge-density waves in kagome-lattice extended Hubbard models at the van Hove filling
• Electronic and structural properties of Rh- and Pd-based kagome layered shandites from first principles
• Hexagonal-to-base-centered-orthorhombic $4Q$ charge density wave order in kagome metals KV${}_3$Sb${}_5$, RbV${}_3$Sb${}_5$, and CsV${}_3$Sb${}_5$