Charge density wave order in kagome metal AV${}_3$Sb${}_5$ (A= Cs, Rb, K)

Abstract

We employ polarization-resolved electronic Raman spectroscopy and density functional theory to study the primary and secondary order parameters, as well as their interplay, in the charge density wave (CDW) state of the kagome metal AV3Sb5. Previous x-ray diffraction data at 15K established that the CDW order in CsV3Sb5 comprises of a 2x2x4 structure: one layer of inverse-star-of-David and three consecutive layers of star-of-David pattern. We analyze the lattice distortions based the 2x2x4 structure at 15K, and find that U lattice distortion is the primary order parameter while M and L distortions are secondary order parameters for Vanadium displacements. This conclusion is confirmed by the calculation of bare susceptibility that shows a broad peak at around qz=0.25 along the hexagonal Brillouin zone face central line (U-line). We also identify several phonon modes emerging in the CDW state, which are lattice vibration modes related to V and Sb atoms as well as alkali atoms. The detailed temperature evolution of these modes' frequencies, HWHM, and integrated intensities support a phase diagram with two successive structural phase transitions in CsV3Sb5: the first one with a primary order parameter appearing at TS=94K and the second isostructural one appearing at around 70K.

References in corpus (34)

• CsV${}_3$Sb${}_5$: a ${\mathbb{Z}}_2$ topological kagome metal with a superconducting ground state
• Discovery of unconventional chiral charge order in kagome superconductor KV3Sb5
• Fermi surface nesting and the origin of Charge Density Waves in metals
• Inelastic Light Scattering From Correlated Electrons
• Roton pair density wave and unconventional strong-coupling superconductivity in a topological kagome metal
• Cascade of correlated electron states in a kagome superconductor CsV3Sb5
• 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
• Superconductivity in the ${\mathbb{Z}}_2$ kagome metal KV${}_3$Sb${}_5$
• 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
• Unusual competition of superconductivity and charge-density-wave state in a compressed topological kagome metal
• 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
• Electronic Nature of Charge Density Wave and Electron-Phonon Coupling in Kagome Superconductor KV${}_3$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
• Theory of the charge-density wave in $A$V${}_3$Sb${}_5$ kagome metals
• Absence of local moments in the kagome metal KV3Sb5 as determined by muon spin spectroscopy
• Anisotropic superconducting properties of Kagome metal CsV3Sb5
• Coherent phonon spectroscopy and interlayer modulation of charge density wave order in the kagome metal CsV${}_3$Sb${}_5$
• Competition of superconductivity and charge density wave in selective oxidized CsV3Sb5 thin flakes
• Revealing the competition between charge-density wave and superconductivity in CsV${}_3$Sb${}_5$ through uniaxial strain
• Unconventional charge density wave and photoinduced lattice symmetry change in Kagome Metal CsV${}_3$Sb${}_5$ probed by time-resolved spectroscopy
• Manipulation of Jeff=3/2 states by tuning the tetragonal distortion
• Geometry of the charge density wave in kagom$\acute{e}$ metal AV${}_3$Sb${}_5$
• Origin of Charge Density Wave in Layered Kagome Metal CsV${}_3$Sb${}_5$
• Lattice dynamics, crystal-field excitations and quadrupolar fluctuations of YbRu${}_2$Ge${}_2$

Cited by in corpus (56)

• 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
• Charge order breaks time-reversal symmetry in CsV${}_3$Sb${}_5$
• Loop currents in $A$V${}_3$Sb${}_5$ kagome metals: multipolar and toroidal magnetic orders
• Conjoined Charge Density Waves in the Kagome Superconductor CsV3Sb5
• Spatial symmetry constraint of charge-ordered kagome superconductor CsV${}_3$Sb${}_5$
• Abundant lattice instability in kagome metal ScV${}_6$Sn${}_6$
• 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
• Competing superconductivity and charge-density wave in Kagome metal CsV3Sb5: evidence from their evolutions with sample thickness
• Unidirectional coherent quasiparticles in the high-temperature rotational symmetry broken phase of AV3Sb5 kagome superconductors
• Nodeless superconductivity in kagome metal CsV${}_3$Sb${}_5$ with and without time reversal symmetry breaking
• Loop-current charge density wave driven by long-range Coulomb repulsion on the kagome lattice
• Superconductivity from repulsive interactions on the kagome lattice
• Theory of nematic charge orders in kagome metals
• Charge density wave order and fluctuations above T${}_{CDW}$ and below superconducting T${}_c$ in the kagome metal CsV${}_3$Sb${}_5$
• Emergent nematicity and intrinsic vs. extrinsic electronic scattering processes in the kagome metal CsV${}_3$Sb${}_5$
• Emergence of large quantum oscillation frequencies in thin flakes of the kagome superconductor CsV${}_3$Sb${}_5$
• Intertwined van-Hove Singularities as a Mechanism for Loop Current Order in Kagome Metals
• Novel three-dimensional Fermi surface and electron-correlation-induced charge density wave in FeGe
• Monolayer Kagome Metals AV${}_3$Sb${}_5$
• Impact of Sb degrees of freedom on the charge density wave phase diagram of the kagome metal CsV${}_3$Sb${}_5$
• 3D Fermi surfaces from charge order in layered CsV${}_3$Sb${}_5$
• Superconductivity from Orbital-Selective Electron-Phonon Coupling in $A{\mathrm{V}}_3{\mathrm{Sb}}_5$
• Origin and stability of the charge density wave in ScV${}_6$Sn${}_6$
• Anomalous Hall effect and two-dimensional Fermi surfaces in the charge-density-wave state of kagome metal RbV${}_3$Sb${}_5$
• $\pi$ Phase Interlayer Shift and Stacking Fault in the Kagome Superconductor CsV${}_3$Sb${}_5$
• The structure of kagome superconductors CsV${}_3$Sb${}_5$ in the charge density wave states
• Symmetry breaking and ascending in the magnetic kagome metal FeGe
• Absence of $E_{2g}$ nematic instability and dominant $A_{1g}$ response in the kagome metal CsV${}_3$Sb${}_5$
• Direct Observation of Collective Modes of the Charge Density Wave in the Kagome Metal CsV${}_3$Sb${}_5$
• Origin of $\pi$-shifted three-dimensional charge density waves in kagome metal AV${}_3$Sb${}_5$
• Charge order in the kagome lattice Holstein model: A hybrid Monte Carlo study
• Kagome metals
• Phenomenology of bond and flux orders in kagome metals
• Emergent topological quantum orbits in the charge density wave phase of kagome metal CsV${}_3$Sb${}_5$
• Similarities and Differences in the Fermiology of Kagome Metals AV${}_3$Sb${}_5$ (A=K, Rb, Cs) Revealed by Shubnikov-de Haas Oscillations
• Phase-Separated Charge Order and Twinning Across Length Scales in CsV${}_3$Sb${}_5$
• Observation of anomalous amplitude modes in the kagome metal CsV${}_3$Sb${}_5$
• Two elementary band representation model, Fermi surface nesting, and surface topological superconductivity in $A$V${}_3$Sb${}_5$ ($A=\text{K, Rb, Cs}$)
• Charge order induced Dirac pockets in the nonsymmorphic crystal TaTe${}_4$
• Magnetism in AV3Sb5 (Cs, Rb, K): Origin and Consequences for the Strongly Correlated Phases
• Fluctuated lattice-driven charge density wave far above the condensation temperature in kagome superconductor KV${}_3$Sb${}_5$
• 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
• Quantum Phase Transition as a Promising Route to Enhance the Critical Current in Kagome Superconductor CsV${}_3$Sb${}_5$
• Coherent Phonon Pairs and Rotational Symmetry Breaking of Charge Density Wave Order in the Kagome Superconductor CsV${}_3$Sb${}_5$
• Charge-density wave fluctuation driven composite order in the layered Kagome Metals
• Stacking-Dependent Van Hove Singularity Shifts in Three-Dimensional Charge Density Waves of Kagome Metals AV${}_3$Sb${}_5$ (A = K, Rb, Cs)
• Origin of switchable quasiparticle-interference chirality in loop-current phase of kagome metals measured by scanning-tunneling-microscopy
• 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${}_x$
• Role of On-site and Inter-site Coulomb Interactions in KV${}_3$Sb${}_5$: A first-principles DFT+$U$+$V$ study
• Charge-density waves in kagome-lattice extended Hubbard models at the van Hove filling
• Effective Ionic Valence and Local Magnetic Moment in Kagome Superconductors
• Electronic and structural properties of Rh- and Pd-based kagome layered shandites from first principles