Chiral flux phase in the Kagome superconductor AV${}_3$Sb${}_5$

Abstract

We argue that the topological charge density wave phase in the quasi-2D Kagome superconductor AV${}_3$Sb${}_5$ is a chiral flux phase. Considering the symmetry of the Kagome lattice, we show that the chiral flux phase has the lowest energy among those states which exhibit $2\times 2$ charge orders observed experimentally. This state breaks the time-reversal symmetry and displays anomalous Hall effect. The explicit pattern of the density of this state in real space is calculated. These results are supported by recent experiments and suggest that these materials are a new platform to investigate the interplay between topology, superconductivity and electron-electron correlations.

5 pages, 3 figures, to be published in Science Bulletin

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Cited by in corpus (201)

• Topological kagome magnets and superconductors
• Time-reversal symmetry-breaking charge order in a kagome superconductor
• Observation of Unconventional Charge Density Wave without Acoustic Phonon Anomaly in Kagome Superconductors AV3Sb5 (A=Rb,Cs)
• Analysis of Charge Order in the Kagome Metal $A$V${}_3$Sb${}_5$ ($A=$K,Rb,Cs)
• Discovery of charge density wave in a correlated kagome lattice antiferromagnet
• Electronic instabilities of kagome metals: saddle points and Landau theory
• Nature of unconventional pairing in the kagome superconductors AV${}_3$Sb${}_5$
• 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${}_5$
• Kagome superconductors AV${}_3$Sb${}_5$ (A=K, Rb, Cs)
• 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
• Three-state nematicity and magneto-optical Kerr effect in the charge density waves in kagome superconductors
• Electronic nature of chiral charge order in the kagome superconductor CsV3Sb5
• Charge density wave in kagome lattice intermetallic ScV6Sn6
• Quantum states and intertwining phases in kagome materials
• Intertwined magnetism and charge density wave order in kagome FeGe
• s-wave superconductivity in kagome metal CsV${}_3$Sb${}_5$ revealed by ${}^{121/123}$Sb NQR and ${}^{51}$V NMR measurements
• Nodeless superconductivity in the kagome metal CsV${}_3$Sb${}_5$
• Multiple Energy Scales and Anisotropic Energy Gap in the Charge-Density-Wave Phase of Kagome Superconductor CsV3Sb5
• Emergence of new van Hove singularities in the charge density wave state of a topological kagome metal RbV3Sb5
• Fermi level tuning and double-dome superconductivity in the kagome metals CsV${}_3$Sb${}_{5-x}$Sn${}_x$
• Charge order breaks time-reversal symmetry in CsV${}_3$Sb${}_5$
• Quantum transport evidence of topological band structures of kagome superconductor CsV3Sb5
• Chern Fermi pocket, topological pair density wave, and charge-4e and charge-6e superconductivity in kagome superconductors
• Charge-density-wave-induced bands renormalization and energy gaps in a kagome superconductor RbV3Sb5
• Competition of superconductivity and charge density wave in selective oxidized CsV3Sb5 thin flakes
• Discovery of charge order and corresponding edge state in kagome magnet FeGe
• Electron-phonon coupling in the charge density wave state of CsV${}_3$Sb${}_5$
• Superconducting diode effect and interference patterns in Kagome CsV3Sb5
• Charge-Density-Wave-Induced Peak-Dip-Hump Structure and the Multiband Superconductivity in a Kagome Superconductor CsV${}_3$Sb${}_5$
• Competition between charge-density-wave and superconductivity in the kagome metal RbV3Sb5
• Loop currents in $A$V${}_3$Sb${}_5$ kagome metals: multipolar and toroidal magnetic orders
• High Resolution Polar Kerr Effect Studies of CsV${}_3$Sb${}_5$: Tests for Time Reversal Symmetry Breaking Below the Charge Order Transition
• Coexistence of Tri-Hexagonal and Star-of-David Pattern in the Charge Density Wave of the Kagome Superconductor AV${}_3$Sb${}_5$
• Chiral kagome superconductivity modulations with residual Fermi arcs in KV3Sb5 and CsV3Sb5
• Charge density wave order in kagome metal AV${}_3$Sb${}_5$ (A= Cs, Rb, K)
• Conjoined Charge Density Waves in the Kagome Superconductor CsV3Sb5
• Spatial symmetry constraint of charge-ordered kagome superconductor CsV${}_3$Sb${}_5$
• Coexistence of Multiple Stacking Charge Density Waves in Kagome Superconductor ${\mathrm{CsV}}_3{\mathrm{Sb}}_5$
• Spin-phonon coupling driven Charge density wave in a Kagome Magnet
• Tuning the competition between superconductivity and charge order in kagome superconductor Cs(V1-xNbx)3Sb5
• No observation of chiral flux current in the topological kagome metal CsV${}_3$Sb${}_5$
• Anomalous thermoelectric effects and quantum oscillations in the kagome metal CsV${}_3$Sb${}_5$
• Observation of Flat Band, Dirac Nodal Lines and Topological Surface States in Kagome Superconductor CsTi${}_3$Bi${}_5$
• Geometry of the charge density wave in kagom$\acute{e}$ metal AV${}_3$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
• Competing superconductivity and charge-density wave in Kagome metal CsV3Sb5: evidence from their evolutions with sample thickness
• Control of chiral orbital currents in a colossal magnetoresistance material
• Nodeless superconductivity in kagome metal CsV${}_3$Sb${}_5$ with and without time reversal symmetry breaking
• 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${}_5$
• Electronic nematicity without charge density waves in titanium-based kagome metal
• Phonon promoted charge density wave in topological kagome metal ScV${}_6$Sn${}_6$
• Charge-loop current order and Z3 nematicity mediated by bond-order fluctuations in kagome metal AV3Sb5 (A=Cs,Rb,K)
• Pressure-induced dimensional crossover in a kagome superconductor
• Loop-current charge density wave driven by long-range Coulomb repulsion on the kagome lattice
• Theory of nematic charge orders in kagome metals
• Strain-sensitive superconductivity in kagome metals KV${}_3$Sb${}_5$ and CsV${}_3$Sb${}_5$ probed by point-contact spectroscopy
• Enhanced Spin-polarization via Partial Ge1-dimerization as the Driving Force of the 2$\times$2$\times$2 CDW in FeGe
• Three-dimensional energy gap and origin of charge-density wave in kagome superconductor KV3Sb5
• Interplay between Pair Density Wave and a Nested Fermi Surface
• Electrically controlled superconductor-insulator transition and giant anomalous Hall effect in kagome metal CsV3Sb5 nanoflakes
• Carrier Injection and Manipulation of Charge-Density Wave in Kagome Superconductor CsV3Sb5
• First-principles study on the double-dome superconductivities in kagome material CsV${}_3$Sb${}_5$ under pressure
• Crucial role of out-of-plane Sb-$p$ orbitals in Van Hove singularity formation and electronic correlation for superconducting Kagome metal CsV${}_3$Sb${}_5$
• Emergent nematicity and intrinsic vs. extrinsic electronic scattering processes in the kagome metal CsV${}_3$Sb${}_5$
• Gapless excitations inside the fully gapped kagome superconductors AV${}_3$Sb${}_5$
• Evolution of electronic structure in pristine and hole-doped kagome metal 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${}_5$
• Emergence of large quantum oscillation frequencies in thin flakes of the kagome superconductor CsV${}_3$Sb${}_5$
• Magneto-Seebeck effect and ambipolar Nernst effect in CsV${}_3$Sb${}_5$ superconductor
• Muon-spin relaxation study of the layered kagome superconductor CsV${}_3$Sb${}_5$
• Multidome superconductivity in charge density wave kagome metals
• Evidence chain for time-reversal symmetry-breaking kagome superconductivity
• Correlated Electronic Structure and Incipient Flat Bands of the Kagome Superconductor CsCr3Sb5
• Novel three-dimensional Fermi surface and electron-correlation-induced charge density wave in FeGe
• Quantum oscillations revealing topological band in kagome metal ScV6Sn6
• Small Fermi pockets intertwined with charge stripes and pair density wave order in a kagome superconductor
• Electronic properties of correlated kagomé metals AV${}_3$Sb${}_5$(A = K, Rb, Cs): A perspective
• Superconducting pairing symmetry in the kagome-lattice Hubbard model
• Magnetic interactions and possible structural distortion in kagome FeGe from first-principles study and symmetry analysis
• Electronic Landscape of Kagome Superconductors $\text{A}$V${}_3$Sb${}_5$ ($\text{A}$ = K, Rb, Cs) from Angle-Resolved Photoemission Spectroscopy
• 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${}_5$
• Altermagnetic Ground State in Distorted Kagome Metal CsCr${}_3$Sb${}_5$
• 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${}_5$
• Structures and physical properties of V-based kagome metals CsV${}_6$Sb${}_6$ and CsV${}_8$Sb${}_{12}$
• Stability frontiers in the AM${}_6$X${}_6$ kagome metals: The LnNb${}_6$Sn${}_6$ (Ln:Ce-Lu,Y) family and density-wave transition in LuNb${}_6$Sn${}_6$
• Electronic properties and phase transition in Kagome metal, Yb0.5Co3Ge3
• 3D Fermi surfaces from charge order in layered CsV${}_3$Sb${}_5$
• Dirac Nodal Lines and Nodal Loops in a Topological Kagome Superconductor CsV${}_3$Sb${}_5$
• Superconductivity modulated by structural phase transitions in pressurized vanadium-based kagome metals
• Evolution of superconductivity and charge order in pressurized RbV${}_3$Sb${}_5$
• Structural instability and charge modulations in the Kagome superconductor $A$V${}_3$Sb${}_5$
• Anomalous Hall effect and two-dimensional Fermi surfaces in the charge-density-wave state of kagome metal RbV${}_3$Sb${}_5$
• Distinct band reconstructions in kagome superconductor CsV${}_3$Sb${}_5$
• The structure of kagome superconductors CsV${}_3$Sb${}_5$ in the charge density wave states
• Higher-order Oscillatory Planar Hall Effect in Topological Kagome Metal
• Effects of Nb Doping on the Charge-Density Wave and Electronic Correlations in the Kagome Metal Cs(V${}_{1-x}$Nb${}_x$)${}_3$Sb${}_5$
• Symmetry breaking and ascending in the magnetic kagome metal FeGe
• Emergent superconducting fluctuations in a compressed kagome superconductor
• Diagnosis of pairing symmetry by vortex and edge spectra in kagome superconductors
• Tri-Hexagonal charge order in kagome metal CsV${}_3$Sb${}_5$ revealed by ${}^{121}$Sb NQR
• Charge order in the kagome lattice Holstein model: A hybrid Monte Carlo study
• Triple-$\mathcal{Q}$ partial magnetic orders induced by quadrupolar interactions: Triforce order scenario for UNi${}_4$B
• Visualizing symmetry-breaking electronic orders in epitaxial Kagome magnet FeSn films
• Strong-coupling superconductivity and weak vortex pinning in Ta-doped CsV${}_3$Sb${}_5$ single crystals
• Magnetic molecular orbitals in MnSi
• 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
• Topological superconductivity and large spin Hall effect in the kagome family Ti6X4 (X = Bi, Sb, Pb, Tl, In)
• Emergent topological quantum orbits in the charge density wave phase of kagome metal CsV${}_3$Sb${}_5$
• Probing orbital magnetism of a kagome metal CsV3Sb5 by a tuning fork resonator
• Topological and nodal superconductor kagome magnesium triboride
• Kagome Materials I: SG 191, ScV${}_6$Sn${}_6$. Flat Phonon Soft Modes and Unconventional CDW Formation: Microscopic and Effective Theory
• Crossover between electron-electron and electron-phonon mediated pairing on the Kagome lattice
• Phonon collapse and anharmonic melting of the 3D charge-density wave in kagome metals
• Chiral-Flux-Phase-Based Topological Superconductivity in Kagome Systems with Mixed Edge Chiralities
• Chiral pair density waves with residual Fermi arcs in RbV3Sb5
• Self-consistent theory of $2\times 2$ pair density waves in kagome superconductors
• Enhanced nematicity emerging from higher-order van Hove singularities
• Search for orbital magnetism in the kagome superconductor $\mathrm{Cs}{\mathrm{V}}_3\mathrm{S}{\mathrm{b}}_5$ using neutron diffraction
• Electronic band structures of topological kagome materials
• Electronic structure and spin-lattice relaxation in superconducting vortex states on the kagome lattice near van Hove filling
• Dynamical decoding of the competition between charge density waves in a kagome superconductor
• Instability of the charge density wave in Kagome magnet FeGe
• AV${}_3$Sb${}_5$ kagome superconductors: a review with transport measurements
• Origin of anomalous magnetotransport in kagome superconductors AV${}_3$Sb${}_5$ (A=K,Rb,Cs)
• Emergence of Quantum Confinement in Topological Kagome Superconductor CsV${}_3$Sb${}_5$ family
• FeGe1-xSbx:a series of novel kagome metals with noncollinear antiferromagnetism
• Impact of the orbital current order on the superconducting properties of the kagome superconductors
• Statistical learning of engineered topological phases in the kagome superlattice of AV${}_3$Sb${}_5$
• Non-degenerate surface pair density wave in the Kagome superconductor CsV${}_3$Sb${}_5$ -- application to vestigial orders
• Detecting topological phases in the square-octagon lattice with statistical methods
• Kagome materials $A$V${}_3$Sb${}_5$ ($A$=K,Rb,Cs): pairing symmetry and pressure-tuning studies
• Interplay between Chiral Charge Density Wave and Superconductivity in Kagome Superconductors: A Self-consistent Theoretical Analysis
• Observation of giant circular dichroism induced by electronic chirality
• Mechanisms for Magnetic Skyrmion Catalysis and Topological Superconductivity
• Vacancy-induced suppression of CDW order and its impact on magnetic order in kagome antiferromagnet FeGe
• Perspective: imaging atomic step geometry to determine surface terminations of kagome materials and beyond
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• Three-dimensional higher-order saddle points induced flat bands in Co-based kagome metals
• Unconventional ferromagnetism and spin-triplet superconductivity in the imbalanced Kagome-lattice Hubbard model
• Intriguing kagome topological materials
• Effective minimal model and unconventional spin-singlet pairing in Kagome superconductor CsV3Sb5
• Electrical and thermal transport properties of kagome metals AV${}_3$Sb${}_5$ (A=K, Rb, Cs)
• Exotic charge density waves and superconductivity on the Kagome Lattice
• Fully-gapped superconductivity with rotational symmetry breaking in pressurized kagome metal CsV${}_3$Sb${}_5$
• Quantum-metric-induced giant and reversible nonreciprocal transport phenomena in chiral loop-current phases of kagome metals
• Hidden magnetic order on a kagome lattice for KV3Sb5
• Topological Quantum Computation on a Chiral Kondo Chain
• Revealing Rotational Symmetry Breaking Charge-density Wave Order in Kagome Superconductor (Rb, K)V${}_3$Sb${}_5$ by Ultrafast Pump-probe Experiments
• Chiral pair density wave as a precursor of the pseudogap in kagomé superconductors
• Symmetry-protected Dirac nodal lines and large spin Hall effect in ${\mathbf{V}}_6\mathbf{S}{\mathbf{b}}_4$ with kagome bilayer
• Quantifying magnetic field driven lattice distortions in kagome metals at the femto-scale using scanning tunneling microscopy
• Electronic structure of $A$V${}_3$Sb${}_5$ kagome metals
• Interaction Driven Topological Phase Transition in Monolayer CrCl${}_2$(pyrazine)${}_2$
• Tuning the Intrinsic Spin Hall Effect by Charge Density Wave Order in Topological Kagome Metals
• Loop Current Order on the Kagome Lattice
• Topological Superconducting States and Quasiparticle Transport on Kagome Lattice
• Long-range Ising spins models emerging from frustrated Josephson junctions arrays with topological constraints
• 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${}_5$
• Truly local topological dynamics of driven defects in Chern insulator
• Chiral symmetry breaking through spontaneous dimerization in kagomé metals
• Type-II Dirac Nodal Lines in double-kagome-layered CsV${}_8$Sb${}_{12}$
• Infrared spectroscopy study of kagome material CsTi${}_3$Bi${}_5$
• Low-energy effective theory and symmetry classification of flux phases on Kagome lattice
• Common sublattice-pure van Hove singularities in the kagome superconductors $\text{A}$V${}_3$Sb${}_5$ ($\text{A}$ = K, Rb, Cs)
• Encoding innumerable charge density waves of FeGe into polymorphs of LiFe6Ge6
• Impact of Charge Density Waves on Superconductivity and Topological Properties in AV${}_3$Sb${}_5$ Kagome Superconductors
• Local pairing versus bulk superconductivity intertwined by the charge density wave order in Cs(V${}_{1-x}$Ta${}_x$)${}_3$Sb${}_5$
• Charge-density wave fluctuation driven composite order in the layered Kagome Metals
• Interplay of Charge Density Wave and Magnetism on the Kagomé Lattice
• Constraints on the orbital flux phase in $A$V${}_3$Sb${}_5$ from polar Kerr effect
• Pressure-induced superconductivity in flat-band Kagome compounds Pd${}_3$P${}_2$(S${}_{1-x}$Se${}_x$)${}_8$
• Josephson diodes induced by the loop current states
• Stacking-Dependent Van Hove Singularity Shifts in Three-Dimensional Charge Density Waves of Kagome Metals AV${}_3$Sb${}_5$ (A = K, Rb, Cs)
• Superconductivity in a Chern band: effect of time-reversal-symmetry breaking on superconductivity
• Phase-sensitive evidence for pair density waves in a kagome superconductor
• Symmetry-broken ground state and phonon mediated superconductivity in Kagome CsV${}_3$Sb${}_5$
• Evolution of charge correlations in the hole-doped kagome superconductor CsV${}_{3-x}$Ti${}_x$Sb${}_5$
• Topological Aspects of Dirac Fermions in a Kagomé Lattice
• Nanoscale strain manipulation of smectic susceptibility in kagome superconductors
• Resistive anisotropy in the charge density wave phase of Kagome superconductor CsV3Sb5 thin films
• Orbital current signature using neutron diffraction
• Inter-Layer Correlation of Loop Current Charge Density Wave on the Bilayer Kagomé Lattice
• Current-induced magnetoresistance hysteresis in the kagome superconductor CsV${}_3$Sb${}_5$
• Majorana edge states in s-wave kagome superconductors with Rashba interaction
• Majorana Braiding Racetracks from Charge Chern Insulator - Superconductor Hybrids
• Epitaxial growth and magneto-transport properties of kagome metal FeGe thin films
• Effective Ionic Valence and Local Magnetic Moment in Kagome Superconductors
• Charge-density waves in kagome-lattice extended Hubbard models at the van Hove filling
• Spontaneous emergence of altermagnetism in the single-orbital extended Hubbard model
• Topological pair density waves in kagome superconductors
• Transverse superconducting diode without parity and time-reversal violation
• Time-reversal symmetry-breaking phenomena in transport study of kagome superconductivity
• New mechanisms to engineer magnetic skyrmions and topological superconductors