Loop Current Order on the Kagome Lattice

Abstract

Recent discoveries in kagome materials have unveiled their capacity to harbor exotic quantum states, including intriguing charge density wave (CDW) and superconductivity. Notably, accumulating experimental evidence suggests time-reversal symmetry breaking within the CDW, hinting at the long-pursued loop current order (LCO). Despite extensive research efforts, achieving its model realization and understanding the mechanism through unbiased many-body simulations have remained both elusive and challenging. In this Letter, we develop a microscopic model for LCO on the spinless kagome lattice with nonlocal interactions, utilizing unbiased functional renormalization group calculations to explore ordering tendencies across all two-particle scattering channels. At the Van Hove filling, we identify sublattice interference to suppress onsite CDW order, leaving LCO, charge bond order, and nematic CDW state as the main competitors. Remarkably, a $2\times 2$ LCO emerges as the many-body ground state over a significant parameter space with strong second nearest-neighbor repulsion, stemming from the unique interplay between sublattice characters and lattice geometry. The resulting electronic model with LCO bears similarities to the Haldane model and culminates in a quantum anomalous Hall state. We also discuss potential experimental implications for kagome metals.

7+17 pages, 4+11 figures, including supplementary material

References in corpus (59)

• Berry Phase Effects on Electronic Properties
• Massive Dirac fermions in a ferromagnetic kagome metal
• Functional renormalization group approach to correlated fermion systems
• Dirac fermions and flat bands in the ideal kagome metal FeSn
• Topological Mott Insulators
• Herbertsmithite and the Search for the Quantum Spin Liquid
• Discovery of a quantum limit Chern magnet TbMn6Sn6
• 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
• Double superconducting dome and triple enhancement of Tc in the kagome superconductor CsV3Sb5 under high pressure
• 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)
• Discovery of charge density wave in a correlated kagome lattice antiferromagnet
• 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
• Nature of unconventional pairing in the kagome superconductors AV${}_3$Sb${}_5$
• Rich Nature of Van Hove Singularities in 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 ${\text{AV}}_3{\text{Sb}}_5$
• Functional renormalization group and variational Monte Carlo studies of the electronic instabilities in graphene near 1/4 doping
• Interaction-driven topological insulators on the kagome and the decorated honeycomb lattices
• Three-state nematicity and magneto-optical Kerr effect in the charge density waves in kagome superconductors
• Functional Renormalization Group for multi-orbital Fermi Surface Instabilities
• Pressure-induced Reemergence of Superconductivity in Topological Kagome Metal CsV3Sb5
• Intertwined magnetism and charge density wave order in kagome FeGe
• Efficient Parametrization of the Vertex Function, $\Omega$-Scheme, and the (t,t')-Hubbard Model at Van Hove Filling
• The temperature-flow renormalization group and the competition between superconductivity and ferromagnetism
• Highly-robust reentrant superconductivity in CsV3Sb5 under pressure
• Phase diagram of the half-filled two-dimensional SU(N) Hubbard-Heisenberg model: a quantum Monte Carlo study
• Fermi level tuning and double-dome superconductivity in the kagome metals CsV${}_3$Sb${}_{5-x}$Sn${}_x$
• Chern Fermi pocket, topological pair density wave, and charge-4e and charge-6e superconductivity in kagome superconductors
• Orbital currents in extended Hubbard models of high-T${}_c$ cuprates
• 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
• High-performance functional renormalization group calculations for interacting fermions
• Phases of correlated spinless fermions on the honeycomb lattice
• Itinerant half-metal spin-density-wave state on the hexagonal lattice
• Interaction driven phases in the half-filled honeycomb lattice: an infinite density matrix renormalization group study
• Phase diagram of interacting spinless fermions on the honeycomb lattice: A comprehensive exact diagonalization study
• Kinetic ferromagnetism on a kagome lattice
• Interaction driven phases in the honeycomb lattice from exact diagonalization
• 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
• Phase Diagram of a Three Orbital Model for the high-T${}_c$ cuprates
• Charge-loop current order and Z3 nematicity mediated by bond-order fluctuations in kagome metal AV3Sb5 (A=Cs,Rb,K)
• Loop-current charge density wave driven by long-range Coulomb repulsion on the kagome lattice
• Correlated spinless fermions on the honeycomb lattice revisited
• Reference results for the momentum space functional renormalization group
• Intertwined van-Hove Singularities as a Mechanism for Loop Current Order in Kagome Metals
• No evidence for spontaneous orbital currents in finite size studies of three-band models for CuO planes
• Absence of the d-Density Wave State in 2D Hubbard Model
• The kagome Hubbard model from a functional renormalization group perspective
• Sublattice modulated superconductivity in the Kagome Hubbard model
• Competing electronic orders on a heavily doped honeycomb lattice with enhanced exchange coupling
• 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
• Phonon collapse and anharmonic melting of the 3D charge-density wave in kagome metals
• Exotic charge density waves and superconductivity on the Kagome Lattice

Cited by in corpus (2)

• Orbital altermagnetism on the kagome lattice and possible application to $A$V${}_3$Sb${}_5$
• Topological pair density waves in kagome superconductors