Electronic instabilities of kagome metals: saddle points and Landau theory

Abstract

We study electronic instabilities of a kagome metal with a Fermi energy close to saddle points at the hexagonal Brillouin zone face centers. Using parquet renormalization group, we determine the leading and subleading instabilities, finding superconducting, charge, orbital moment, and spin density waves. We then derive and use Landau theory to discuss how different primary density wave orders give rise to charge density wave modulations, as seen in the AV${}_3$Sb${}_5$ family, with A=K,Rb,Cs. The results provide strong constraints on the mechanism of charge ordering and how it can be further refined from existing and future experiments.

Revised acknowledgements

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Cited by in corpus (174)

• Topological kagome magnets and superconductors
• Observation of Unconventional Charge Density Wave without Acoustic Phonon Anomaly in Kagome Superconductors AV3Sb5 (A=Rb,Cs)
• Rotation symmetry breaking in the normal state of a kagome superconductor KV3Sb5
• Rich Nature of Van Hove Singularities in Kagome Superconductor CsV${}_3$Sb${}_5$
• Kagome superconductors AV${}_3$Sb${}_5$ (A=K, Rb, Cs)
• 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
• Intertwined magnetism and charge density wave order in kagome FeGe
• Quantum states and intertwining phases in kagome materials
• Intrinsic nature of chiral charge order in the kagome superconductor RbV3Sb5
• AV${}_3$Sb${}_5$ Kagome Superconductors: Progress and Future Directions
• Theory of the charge-density wave in $A$V${}_3$Sb${}_5$ kagome metals
• Tunable nodal kagome superconductivity in charge ordered RbV3Sb5
• Emergence of new van Hove singularities in the charge density wave state of a topological kagome metal RbV3Sb5
• Charge order breaks time-reversal symmetry in CsV${}_3$Sb${}_5$
• Mechanism of exotic density-wave and beyond-Migdal unconventional superconductivity in kagome metal AV3Sb5 (A=K, Rb, Cs)
• Chern Fermi pocket, topological pair density wave, and charge-4e and charge-6e superconductivity in kagome superconductors
• 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${}_5$
• 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
• Evidence of a hidden flux phase in the topological kagome metal CsV${}_3$Sb${}_5$
• 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
• Bulk evidence of anisotropic $s$-wave pairing with no sign change in the kagome superconductor CsV${}_3$Sb${}_5$
• Chiral excitonic order from twofold van Hove singularities in kagome metals
• A unique van Hove singularity in kagome superconductor CsV${}_{3-x}$Ta${}_x$Sb${}_5$ with enhanced superconductivity
• Spatial symmetry constraint of charge-ordered kagome superconductor CsV${}_3$Sb${}_5$
• Charge density wave order in kagome metal AV${}_3$Sb${}_5$ (A= Cs, Rb, K)
• Conjoined Charge Density Waves in the Kagome Superconductor CsV3Sb5
• Abundant lattice instability in kagome metal ScV${}_6$Sn${}_6$
• Unified description of electronic orderings and cross correlations by complete multipole representation
• Spin-phonon coupling driven Charge density wave in a Kagome Magnet
• No observation of chiral flux current in the topological kagome metal CsV${}_3$Sb${}_5$
• Geometry of the charge density wave in kagom$\acute{e}$ metal AV${}_3$Sb${}_5$
• Tuning the van Hove singularities in AV${}_3$Sb${}_5$ (A = K, Rb, Cs) via pressure and doping
• 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
• Testing Electron-phonon Coupling for the Superconductivity in Kagome Metal $\mathrm{Cs}{\mathrm{V}}_3\mathrm{S}{\mathrm{b}}_5$
• Unidirectional coherent quasiparticles in the high-temperature rotational symmetry broken phase of AV3Sb5 kagome superconductors
• 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)
• 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
• Theory of nematic charge orders in kagome metals
• Optical study of RbV${}_3$Sb${}_5$: Multiple density-wave gaps and phonon anomalies
• Strain-sensitive superconductivity in kagome metals KV${}_3$Sb${}_5$ and CsV${}_3$Sb${}_5$ probed by point-contact spectroscopy
• Three-dimensional energy gap and origin of charge-density wave in kagome superconductor KV3Sb5
• Enhanced Spin-polarization via Partial Ge1-dimerization as the Driving Force of the 2$\times$2$\times$2 CDW in FeGe
• Electrically controlled superconductor-insulator transition and giant anomalous Hall effect in kagome metal CsV3Sb5 nanoflakes
• Interplay between Pair Density Wave and a Nested Fermi Surface
• Evolution of highly anisotropic magnetism in the titanium-based kagome metals LnTi${}_3$Bi${}_4$ (Ln: La...Gd${}^{3+}$, Eu${}^{2+}$, Yb${}^{2+}$)
• 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${}_5$
• Emergent nematicity and intrinsic vs. extrinsic electronic scattering processes in the kagome metal CsV${}_3$Sb${}_5$
• Fermiology and Origin of Tc Enhancement in a Kagome Superconductor Cs(V1-xNbx)3Sb5
• Gapless excitations inside the fully gapped kagome superconductors AV${}_3$Sb${}_5$
• Dynamical Study of the Origin of the Charge Density Wave in $A$V${}_3$Sb${}_5$ ($A=$K, Rb, Cs) Compounds
• Intertwined van-Hove Singularities as a Mechanism for Loop Current Order in Kagome Metals
• 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
• Multidome superconductivity in charge density wave kagome metals
• Muon-spin relaxation study of the layered kagome superconductor CsV${}_3$Sb${}_5$
• Tuning charge-density wave order and superconductivity in the kagome metals KV${}_3$Sb${}_{5-x}$Sn${}_x$ and RbV${}_3$Sb${}_{5-x}$Sn${}_x$
• Unconventional superconductivity protected from disorder on the kagome lattice
• Intrinsic first and higher-order topological superconductivity in a doped topological insulator
• 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
• Novel three-dimensional Fermi surface and electron-correlation-induced charge density wave in FeGe
• Dynamics and Resilience of the Charge Density Wave in a bilayer kagome metal
• Electronic Landscape of Kagome Superconductors $\text{A}$V${}_3$Sb${}_5$ ($\text{A}$ = K, Rb, Cs) from Angle-Resolved Photoemission Spectroscopy
• Magnetic interactions and possible structural distortion in kagome FeGe from first-principles study and symmetry analysis
• Charge 4e superconductivity and chiral metal in the $45^{\circ }$-twisted bilayer cuprates and similar bilayers
• 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${}_5$
• Drastic magnetic-field-induced chiral current order and emergent current-bond-field interplay in kagome metals
• A Rigorous Formalism of Unconventional Symmetry Breaking in Fermi Liquid Theory and Its Application to Nematicity in FeSe
• Flat-Band Enhanced Antiferromagnetic Fluctuations and Superconductivity in Pressurized CsCr${}_3$Sb${}_5$
• Superconductivity from Orbital-Selective Electron-Phonon Coupling in $A{\mathrm{V}}_3{\mathrm{Sb}}_5$
• 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${}_6$
• Coexistence of near-EF flat band and van Hove singularity in a two-phase superconductor
• Distinct band reconstructions in kagome superconductor CsV${}_3$Sb${}_5$
• The kagome Hubbard model from a functional renormalization group perspective
• Annealing-induced long-range charge density wave order in magnetic kagome FeGe: fluctuations and disordered structure
• Charge density wave and superconductivity in the kagome metal CsV${}_3$Sb${}_5$ around a pressure-induced quantum critical point
• Van-Hove annihilation and nematic instability on a Kagome lattice
• 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
• Charge order above room-temperature in a prototypical kagome superconductor La(Ru${}_{1-x}$Fe${}_x$)${}_3$Si${}_2$
• Absence of $E_{2g}$ nematic instability and dominant $A_{1g}$ response in the kagome metal CsV${}_3$Sb${}_5$
• Effects of Nb Doping on the Charge-Density Wave and Electronic Correlations in the Kagome Metal Cs(V${}_{1-x}$Nb${}_x$)${}_3$Sb${}_5$
• Fermi Surface Symmetric Mass Generation
• Origin of $\pi$-shifted three-dimensional charge density waves in kagome metal AV${}_3$Sb${}_5$
• YbV${}_3$Sb${}_4$ and EuV${}_3$Sb${}_4$, vanadium-based kagome metals with Yb${}^{2+}$ and Eu${}^{2+}$ zig-zag chains
• Spin density wave and van Hove singularity in the kagome metal CeTi3Bi4
• Charge order in the kagome lattice Holstein model: A hybrid Monte Carlo study
• Complex magnetic and spatial symmetry breaking from correlations in kagome flat bands
• Effect of nonhydrostatic pressure on the superconducting kagome metal CsV${}_3$Sb${}_5$
• Pressure evolution of electron dynamics in the superconducting kagome metal CsV${}_3$Sb${}_5$
• Phenomenology of bond and flux orders in kagome metals
• Probing orbital magnetism of a kagome metal CsV3Sb5 by a tuning fork resonator
• Emergent topological quantum orbits in the charge density wave phase of kagome metal CsV${}_3$Sb${}_5$
• Crossover between electron-electron and electron-phonon mediated pairing on the Kagome lattice
• Chiral pair density waves with residual Fermi arcs in RbV3Sb5
• 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
• 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
• Existence of Hebel-Slichter peak in unconventional kagome superconductors
• Orbital-selective effect of spin reorientation on the Dirac fermions in a non-charge-ordered kagome ferromagnet Fe${}_3$Ge
• Observation of anomalous amplitude modes in the kagome metal CsV${}_3$Sb${}_5$
• Statistical learning of engineered topological phases in the kagome superlattice of AV${}_3$Sb${}_5$
• Emergence of Quantum Confinement in Topological Kagome Superconductor CsV${}_3$Sb${}_5$ family
• AV${}_3$Sb${}_5$ kagome superconductors: a review with transport measurements
• Impact of the orbital current order on the superconducting properties of the kagome superconductors
• 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
• Interplay between Chiral Charge Density Wave and Superconductivity in Kagome Superconductors: A Self-consistent Theoretical Analysis
• Exotic charge density waves and superconductivity on the Kagome Lattice
• Real-space Loop Current Pattern in Time-reversal-symmetry Breaking Phase in Kagome Metals
• Quantum-metric-induced giant and reversible nonreciprocal transport phenomena in chiral loop-current phases of kagome metals
• Quantifying magnetic field driven lattice distortions in kagome metals at the femto-scale using scanning tunneling microscopy
• Revealing Rotational Symmetry Breaking Charge-density Wave Order in Kagome Superconductor (Rb, K)V${}_3$Sb${}_5$ by Ultrafast Pump-probe Experiments
• Low temperature phase transitions under CDW state in kagome metals AV3Sb5 (A=Cs,Rb,K): Significance of mix-type Fermi surface electron correlations
• Interplay of $d$- and $p$-states in RbTi${}_3$Bi${}_5$ and CsTi${}_3$Bi${}_5$ flat-band kagome metals
• Electronic structure of $A$V${}_3$Sb${}_5$ kagome metals
• Theories for charge-driven nematicity in kagome metals
• Photoemission Insights to Electronic Orders in Kagome Superconductor AV3Sb5
• 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${}_5$
• Loop Current Order on the Kagome Lattice
• Chiral symmetry breaking through spontaneous dimerization in kagomé metals
• Impact of Charge Density Waves on Superconductivity and Topological Properties in AV${}_3$Sb${}_5$ Kagome Superconductors
• Encoding innumerable charge density waves of FeGe into polymorphs of LiFe6Ge6
• Common sublattice-pure van Hove singularities in the kagome superconductors $\text{A}$V${}_3$Sb${}_5$ ($\text{A}$ = K, Rb, Cs)
• Low-energy effective theory and symmetry classification of flux phases on Kagome lattice
• Charge-density wave fluctuation driven composite order in the layered Kagome Metals
• Local pairing versus bulk superconductivity intertwined by the charge density wave order in Cs(V${}_{1-x}$Ta${}_x$)${}_3$Sb${}_5$
• Titanium doped kagome superconductor CsV3-xTixSb5 and two distinct phases
• Interplay of Charge Density Wave and Magnetism on the Kagomé Lattice
• Origin of switchable quasiparticle-interference chirality in loop-current phase of kagome metals measured by scanning-tunneling-microscopy
• Constraints on the orbital flux phase in $A$V${}_3$Sb${}_5$ from polar Kerr effect
• Calculated Unconventional Superconductivity via Charge Fluctuations in Kagome Metal CsV3Sb5
• Stacking-Dependent Van Hove Singularity Shifts in Three-Dimensional Charge Density Waves of Kagome Metals AV${}_3$Sb${}_5$ (A = K, Rb, Cs)
• Josephson diodes induced by the loop current states
• Unveiling the nature of electronic transitions in RbV${}_3$Sb${}_5$ with Avoided Level Crossing $\mu$SR
• Successive orthorhombic distortions in kagome metals by molecular orbital formation
• Loop-current order through the kagome looking glass
• Observation of unexpected band splitting and magnetically-induced band structure reconstruction in TbTi${}_3$Bi${}_4$
• Odd-parity quadrupole order and induced nonreciprocal transport in the kagome metal CsTi${}_3$Bi${}_5$ driven by quantum interference
• Phase-sensitive evidence for pair density waves in a kagome superconductor
• Magnetic field-induced momentum-dependent symmetry breaking in a kagome superconductor
• Recent progress in quantum spin liquids, fractional magnetization plateaus, and unconventional superconductivity in kagome lattices
• Nanoscale strain manipulation of smectic susceptibility in kagome superconductors
• 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
• Orbital altermagnetism on the kagome lattice and possible application to $A$V${}_3$Sb${}_5$
• Giant Impurity Effects on Charge Loop Current Order States in Kagome Metals
• Electron-electron and electron-phonon collision cross sections in CsV3Sb5
• Anisotropic scattering rates in strain-tuned Sr${}_2$RuO${}_4$
• Microscopic origin of period-four stripe charge-density-wave in kagome metal CsV${}_3$Sb${}_5$
• Time-reversal symmetry-breaking phenomena in transport study of kagome superconductivity
• 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
• Microscopic evidence for imaginary charge density wave in a kagome metal
• Topological pair density waves in kagome superconductors
• Effective Ionic Valence and Local Magnetic Moment in Kagome Superconductors
• Theory of unconventional magnetism in a Cu-based kagome metal
• Synergistic doping and stabilization of magnetically tunable LnTi${}_3$(Sb,Sn)${}_4$ (Ln:Ce--Gd) kagome metals
• 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${}_5$