Charge-density waves in kagome-lattice extended Hubbard models at the van Hove filling

Abstract

The Hubbard model on the kagome lattice is presently often considered as a minimal model to describe the rich low-temperature behavior of AV${}_3$Sb${}_5$ compounds (with A=K, Rb, Cs), including charge-density waves (CDWs), superconductivity, and possibly broken time-reversal symmetry. Here, we investigate, via variational Jastrow-Slater wave functions, the properties of its ground state when both onsite $U$ and nearest-neighbor $V$ Coulomb repulsions are considered at the van Hove filling. Our calculations reveal the presence of different interaction-driven CDWs and, contrary to previous renormalization-group studies, the absence of ferromagnetism and charge- or spin-bond order. No signatures of chiral phases are detected. Remarkably, the CDWs triggered by the nearest-neighbor repulsion possess charge disproportionations that are not compatible with the ones observed in AV${}_3$Sb${}_5$. As an alternative mechanism to stabilize charge-bond order, we consider the electron-phonon interaction, modeled by coupling the hopping amplitudes to quantum phonons, as in the Su-Schrieffer-Heeger model. Our results show the instability towards a tri-hexagonal distortion with $2\times 2$ periodicity, in a closer agreement with experimental findings.

References in corpus (48)

• 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
• 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
• Competing electronic orders on Kagome lattices at van Hove filling
• Superconductivity in the ${\mathbb{Z}}_2$ kagome metal KV${}_3$Sb${}_5$
• 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
• 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
• Correlation-driven chiral superconductivity and chiral spin order in doped kagome lattice
• 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
• Wave function optimization in the variational Monte Carlo method
• 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 ${\text{AV}}_3{\text{Sb}}_5$
• Interaction-driven topological insulators on the kagome and the decorated honeycomb lattices
• Electronic nature of chiral charge order in the kagome superconductor CsV3Sb5
• Variational description of Mott insulators
• Intrinsic nature of chiral charge order in the kagome superconductor RbV3Sb5
• Theory of the charge-density wave in $A$V${}_3$Sb${}_5$ kagome metals
• Coherent phonon spectroscopy and interlayer modulation of charge density wave order in the kagome metal CsV${}_3$Sb${}_5$
• Electron-phonon coupling in the charge density wave state of CsV${}_3$Sb${}_5$
• Mott transition in Kagomé lattice Hubbard model
• Low-energy optical properties of the non-magnetic kagome metal CsV${}_3$Sb${}_5$
• Charge density wave order in kagome metal AV${}_3$Sb${}_5$ (A= Cs, Rb, K)
• Strongly correlated fermions on a kagome lattice
• Fractionally charged topological point defects on the kagome lattice
• Unconventional metal-insulator transition in two dimensions
• Magnetic correlations in the Hubbard model on triangular and Kagome lattices
• Optical study of RbV${}_3$Sb${}_5$: Multiple density-wave gaps and phonon anomalies
• Crucial role of out-of-plane Sb-$p$ orbitals in Van Hove singularity formation and electronic correlation for superconducting Kagome metal CsV${}_3$Sb${}_5$
• Phase diagram of the triangular extended Hubbard model
• Phase diagram of the 1/3-filled extended Hubbard model on the Kagome lattice
• Mott correlated states in the underdoped two-dimensional Hubbard model: variational Monte Carlo versus a dynamical cluster approximation
• Metal-insulator transition and intermediate phases in the kagome lattice Hubbard model
• How correlations change the magnetic structure factor of the kagome Hubbard model
• Effects of spin-phonon coupling in frustrated Heisenberg models
• Variational wave functions for the spin-Peierls transition in the Su-Schrieffer-Heeger model with quantum phonons
• Statistical learning of engineered topological phases in the kagome superlattice of AV${}_3$Sb${}_5$
• Suppression of topological Mott-Hubbard phases by multiple charge orders in the honeycomb extended Hubbard model
• Emergent lattices with geometrical frustration in doped extended Hubbard models
• Low-energy effective theory and symmetry classification of flux phases on Kagome lattice