Kekulé valence bond order in the Hubbard model on the honeycomb lattice with possible lattice distortions for graphene
arXiv:2311.04469 · doi:10.1103/PhysRevB.109.115131
Abstract
We investigate if and how the valence-bond-solid (VBS) state emerges in the Hubbard model on the honeycomb lattice when the Peierls-type electron-lattice coupling is introduced. We consider all possible lattice-distortion patterns allowed for this lattice model for graphene which preserve the reflection symmetry and determine the most stable configuration in the adiabatic limit by using an unbiased quantum Monte Carlo method. The VBS phase with Kekulé dimerization is found to appear as an intermediate phase between a semimetal and an antiferromagnetic Mott insulator for a moderately rigid lattice. This implies that the undistorted semimetallic graphene can be driven into the VBS phase by applying strain, accompanied by the single-particle excitation gap opening.
arXiv comment8 pages, 9 figures
References in corpus (51)
- Electric Field Effect in Atomically Thin Carbon Films
- The electronic properties of graphene
- Electronic transport in two dimensional graphene
- Energy gaps, topological insulator state and zero-field quantum Hall effect in graphene by strain engineering
- Electron-Electron Interactions in Graphene: Current Status and Perspectives
- Dirac materials
- Stochastic series expansion method with operator-loop update
- Effects of Strain on Electronic Properties of Graphene
- Dirac Fermions in Solids - from High Tc cuprates and Graphene to Topological Insulators and Weyl Semimetals
- Quantum spin-liquid emerging in two-dimensional correlated Dirac fermions
- Electronic and optical properties of strained graphene and other strained 2D materials: a review
- Strength of effective Coulomb interactions in graphene and graphite
- Interactions and phase transitions on graphene's honeycomb lattice
- Magnetism in Disordered Graphene and Irradiated Graphite
- Gap opening in graphene by shear strain
- Absence of a Spin Liquid Phase in the Hubbard Model on the Honeycomb Lattice
- Theory of interacting electrons on the honeycomb lattice
- Pinning the order: the nature of quantum criticality in the Hubbard model on honeycomb lattice
- Fermionic quantum criticality in honeycomb and -flux Hubbard models: Finite-size scaling of renormalization-group-invariant observables from quantum Monte Carlo
- Relativistic Mott criticality in graphene
- Universal quantum criticality in the metal-insulator transition of two-dimensional interacting Dirac electrons
- Masses in graphene-like two-dimensional electronic systems: topological defects in order parameters and their fractional exchange statistics
- Visualizing Strain-induced Pseudo magnetic Fields in Graphene through an hBN Magnifying Glass
- Electron-Electron Interactions on the Edge States of Graphene: A Many Body Configuration Interaction Study
- Quantum superconducting criticality in graphene and topological insulators
- Dirac Fermions with Competing Orders: Non-Landau Transition with Emergent Symmetry
- Quantum Monte Carlo Simulations of the 2D Su-Schrieffer-Heeger Model
- Interaction driven metal-insulator transition in strained graphene
- The intermediate and spin-liquid phase of the half-filled honeycomb Hubbard model
- The Hubbard model on the honeycomb lattice: from static and dynamical mean-field theories to lattice quantum Monte Carlo simulations
- Absence of spin liquid in non-frustrated correlated systems
- Phase Diagram of the Su-Schrieffer-Heeger-Hubbard model on a square lattice
- Antiferromagnetism induced by electron-phonon-coupling
- Quantum disordered phase near the Mott transition in the staggered-flux Hubbard model on a square lattice
- Correlation-Driven Dimerization and Topological Gap Opening in Isotropically Strained Graphene
- Peierls Distortion in Two-Dimensional Tight-Binding Model
- Robustness of Antiferromagnetism in the Su-Schrieffer-Heeger-Hubbard model
- Finite-Temperature Phase Diagram of Quasi-One-Dimensional Molecular Conductors: Quantum Monte Carlo Study
- Possible Lattice Distortions in the Hubbard Model for Graphene
- Quantum phase transitions in Dirac fermion systems
- Enhancement of non-local exchange near isolated band-crossings in graphene
- Semimetal-antiferromagnetic insulator transition in graphene induced by biaxial strain
- Mott physics in the half-filled Hubbard model on a family of vortex-full square lattices
- Monte Carlo simulation with aspect ratio optimization: Anomalous anisotropic scaling in dimerized antiferromagnet
- Fermionic multicriticality near Kekulé valence-bond ordering in honeycomb lattice
- Valence-Bond Order in a Honeycomb Antiferromagnet Coupled to Quantum Phonons
- Multi-Modes Phonon Softening in Two-Dimensional Electron-Lattice System
- Fermi-liquid ground state of interacting Dirac fermions in two dimensions
- Stochastic approximation of dynamical exponent at quantum critical point
- Phase competitions and coexistences in quasi-one-dimensional molecular conductors: exact diagonalization study
- Quantum phase transitions on the hexagonal lattice