Metal-insulator transition and intermediate phases in the kagome lattice Hubbard model

Abstract

Motivated by the recent discovery of metallic kagome lattice materials, AV${}_3$Sb${}_5$ (A=K, Rb, Cs), we investigate the ground state of the half-filled kagome lattice Hubbard model by employing the density-matrix renormalization group (DMRG) method. We identify a metal-insulator transition around $U\sim U_{c1}$ and four distinct phases as a function of $U/t$ on narrower cylinders, including a metallic phase at $U<U_{c1}$, two insulating intermediate phases: a translational symmetry breaking phase at $U_{c1}<U<U_{c2}$ and a quantum spin liquid phase at $U_{c2}<U<U_{c3}$, and the kagome antiferromagnetic phase at $U>U_{c3}$. We confirm that the translational symmetry breaking phase is robust for wider cylinders, while the quantum spin liquid phase is smoothly connected to the kagome antiferromagnetic phase with increasing the system width. Moreover, our numerical observations indicate a continuous metal-insulator transition at $U_{c1}$, whose nature is consistent with Slater's transition scenario. The magnetic phase transition between two insulating intermediate phases at $U_{c2}$ is first order. Our findings may provide insights into exotic kagome lattice materials.

arXiv comment9 pages, 12 figures

References in corpus (40)

• A quantum gas microscope - detecting single atoms in a Hubbard regime optical lattice
• Quantum Spin Liquid States
• Single-Atom Resolved Fluorescence Imaging of an Atomic Mott Insulator
• Giant anomalous Hall effect in a ferromagnetic Kagome-lattice semimetal
• Spin Liquid Ground State of the $S=1/2$ Kagome Heisenberg Model
• CsV${}_3$Sb${}_5$: a ${\mathbb{Z}}_2$ topological kagome metal with a superconducting ground state
• Spin Dynamics of the Spin-1/2 Kagome Lattice Antiferromagnet ZnCu_3(OH)_6Cl_2
• Discovery of unconventional chiral charge order in kagome superconductor KV3Sb5
• Dirac fermions and flat bands in the ideal kagome metal FeSn
• Projected wavefunction study of Spin-1/2 Heisenberg model on the Kagome lattice
• Herbertsmithite and the Search for the Quantum Spin Liquid
• Unconventional Fermi surface instabilities in the Kagome Hubbard Model
• Superconductivity in the ${\mathbb{Z}}_2$ kagome metal KV${}_3$Sb${}_5$
• 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
• Gapless spin-liquid ground state in the $S=1/2$ kagome antiferromagnet
• Observation of Spatial Charge and Spin Correlations in the 2D Fermi-Hubbard Model
• Site-resolved measurement of the spin-correlation function in the Hubbard model
• Gapless spin-liquid phase in the kagome spin-1/2 Heisenberg antiferromagnet
• Observation of Unconventional Charge Density Wave without Acoustic Phonon Anomaly in Kagome Superconductors AV3Sb5 (A=Rb,Cs)
• Sublattice Interference in the Kagome Hubbard Model
• Signatures of Dirac cones in a DMRG study of the Kagome Heisenberg model
• Chiral spin liquid phase of the triangular lattice Hubbard model: a density matrix renormalization group study
• The kagome antiferromagnet: a chiral topological spin liquid ?
• Tracking the Footprints of Spin Fluctuations: A MultiMethod, MultiMessenger Study of the Two-Dimensional Hubbard Model
• Gapless ground state in the archetypal quantum kagome antiferromagnet ZnCu${}_3$(OH)${}_6$Cl${}_2$
• Highly-robust reentrant superconductivity in CsV3Sb5 under pressure
• Gapped spin liquid with ${\mathbb{Z}}_2$-topological order for kagome Heisenberg model
• Absence of local moments in the kagome metal KV3Sb5 as determined by muon spin spectroscopy
• Non-collinearity and spin frustration in the itinerant kagome ferromagnet Fe3Sn2
• Mott transition in Kagomé lattice Hubbard model
• Barlowite: A Spin-1/2 Antiferromagnet with a Geometrically Perfect Kagome Motif
• Ground state phase diagram of the triangular lattice Hubbard model by density matrix renormalization group method
• Phase diagram of the J1-J2 Heisenberg model on the kagome lattice
• Nodal superconductivity and superconducting domes in the topological Kagome metal CsV3Sb5
• Magnetic correlations in the Hubbard model on triangular and Kagome lattices
• Phase diagram of the anisotropic triangular lattice Hubbard model
• Thermodynamics of Spin-1/2 Kagomé Heisenberg Antiferromagnet: Algebraic Paramagnetic Liquid and Finite-Temperature Phase Diagram
• Chirality-driven mass enhancement in the kagome Hubbard model

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