Two-dimensional Holstein-Hubbard model: Critical temperature, Ising universality, and bipolaron liquid

Abstract

The two-dimensional Holstein-Hubbard model is studied by means of continuous-time quantum Monte Carlo simulations. Using renormalization-group-invariant correlation ratios and finite-size extrapolation, the critical temperature of the charge-density-wave transition is determined as a function of coupling strength, phonon frequency, and Hubbard repulsion. The phase transition is demonstrated to be in the universality class of the two-dimensional Ising model and detectable via the fidelity susceptibility. The structure of the ground-state phase diagram and the possibility of a bipolaronic metal with a single-particle gap above $T_c$ are explored.

8 pages, 9 figures; expanded version including Holstein-Hubbard results

References in corpus (35)

• The electronic properties of graphene
• Exchange Monte Carlo Method and Application to Spin Glass Simulations
• Continuous-time Monte Carlo methods for quantum impurity models
• Quantum Spin Liquid States
• "Deconfined" quantum critical points
• Continuous Time Quantum Monte Carlo method for fermions
• Fidelity approach to quantum phase transitions
• Fidelity, dynamic structure factor, and susceptibility in critical phenomena
• Absence of a Spin Liquid Phase in the Hubbard Model on the Honeycomb Lattice
• Pinning the order: the nature of quantum criticality in the Hubbard model on honeycomb lattice
• Quantum Critical Scaling of Fidelity Susceptibility
• Fermionic quantum criticality in honeycomb and $\pi$-flux Hubbard models: Finite-size scaling of renormalization-group-invariant observables from quantum Monte Carlo
• Universal quantum criticality in the metal-insulator transition of two-dimensional interacting Dirac electrons
• On the existence of a Bose Metal at T=0
• Quantum Monte Carlo simulations of fidelity at magnetic quantum phase transitions
• Diagrammatic Determinantal methods: projective schemes and applications to the Hubbard-Holstein model
• Two-dimensional Hubbard-Holstein bipolaron
• First- and Second Order Phase Transitions in the Holstein-Hubbard Model
• Competition between antiferromagnetic and charge density wave order in the half filled Hubbard-Holstein model
• Determinant quantum Monte Carlo study of the two-dimensional single-band Hubbard-Holstein model
• Fidelity susceptibility made simple: A unified quantum Monte Carlo approach
• Competition between electron-phonon attraction and weak Coulomb repulsion
• Ordered phases in the Holstein-Hubbard model: Interplay of strong Coulomb interaction and electron-phonon coupling
• Competition among Superconducting, Antiferromagnetic, and Charge Orders with Intervention by Phase Separation in the 2D Holstein-Hubbard Model
• Phonons and d-wave pairing in the two-dimensional Hubbard model
• Superconductivity, charge-density waves, antiferromagnetism, and phase separation in the Hubbard-Holstein model
• Dynamical mean-field theory of Hubbard-Holstein model at half-filling: Zero temperature metal-insulator and insulator-insulator transitions
• Excitation spectra and spin gap of the half-filled Holstein-Hubbard model
• Effect of Electron-Phonon Interaction Range for a Half-Filled Band in One Dimension
• Temperature- and quantum phonon effects on Holstein-Hubbard bipolarons
• Finite-size effects in Luther-Emery phases of Holstein and Hubbard models
• Phonon enhancement of electronic orders and negative isotope effect in the Hubbard-Holstein model on a square lattice
• Interplay of Site and Bond Electron-Phonon Coupling in One Dimension
• Quantum phonons and the charge density wave transition temperature: a dynamical mean field study
• Continuous-time quantum Monte Carlo for fermion-boson lattice models: Improved bosonic estimators and application to the Holstein model

Cited by in corpus (48)

• Geometry of quantum phase transitions
• Charge-Density-Wave Transitions of Dirac Fermions Coupled to Phonons
• Quantum Monte Carlo Simulations of the 2D Su-Schrieffer-Heeger Model
• Charge Order in the Holstein Model on a Honeycomb Lattice
• Superconductivity and charge density wave order in the 2D Holstein model
• Strong Coupling Limit of the Holstein-Hubbard Model
• Langevin Simulations of a Long Range Electron Phonon Model
• Phase Diagram of the Su-Schrieffer-Heeger-Hubbard model on a square lattice
• Pseudogap crossover in the electron-phonon system
• Finite-temperature density-matrix renormalization group method for electron-phonon systems: Thermodynamics and Holstein-polaron spectral functions
• Density-matrix embedding theory study of the one-dimensional Hubbard-Holstein model
• Quantum Monte Carlo study of lattice polarons in the two-dimensional multi-orbital Su-Schrieffer-Heeger model
• Superconductivity, Charge-Density-Waves, and Bipolarons in the Holstein model
• Dominant charge-density-wave correlations in the Holstein model on the half-filled square lattice
• Electron-Phonon Interactions in Flat Band Systems
• Robustness of Antiferromagnetism in the Su-Schrieffer-Heeger-Hubbard model
• Langevin Simulations of the Half-Filled Cubic Holstein Model
• Solution of the "sign problem" for the half filled Hubbard-Holstein model
• Stripe correlations in the two-dimensional Hubbard-Holstein model
• A variational approach for many-body systems at finite temperature
• Effect of Strain on Charge Density Wave Order in the Holstein Model
• Superconductivity in the presence of strong electron-phonon interactions and frustrated charge order
• Charge Density Waves on a Half-Filled Decorated Honeycomb Lattice
• Electronic and phononic properties of a two dimensional electron gas coupled to dipolar phonons via small-momentum-transfer scattering
• Quantum Monte Carlo simulation of spin-boson models using wormhole updates
• Optical response of laser-driven charge-transfer complex described by Holstein-Hubbard model coupled to heat baths: Hierarchical equations of motion approach
• Charge Density Wave and Superconductivity in the Disordered Holstein Model
• The two-dimensional $t$-$t^{\prime }$ Holstein model
• Machine learning predictions for local electronic properties of disordered correlated electron systems
• Quantum Monte Carlo study of an anharmonic Holstein model
• Trion states and quantum criticality of attractive SU(3) Dirac fermions
• Attractive Su-Schrieffer-Heeger-Hubbard Model on a Square Lattice Away from Half-Filling
• Real-time evolution of static electron-phonon models in time-dependent electric fields
• Competing Correlated Insulators in multi-orbital systems coupled to phonons
• Charge Singlets and Orbital-Selective Charge Density Wave Transitions
• Steady-state Peierls transition in nanotube quantum simulator
• Phonon Induced Instabilities in Correlated Electron Hamiltonians
• Learning by Confusion: The Phase Diagram of the Holstein Model
• Supersolid Phase in the Diluted Holstein Model
• Enhancement of Charge Density Wave Correlations in a Holstein Model with an Anharmonic Phonon Potential
• Magnetic, charge, and bond order in the two-dimensional Su-Schrieffer-Heeger-Holstein model
• Reducing autocorrelation time in determinant quantum Monte Carlo using Wang-Landau algorithm: application to Holstein model
• Mott insulating states of the anisotropic SU(4) Dirac fermions
• Intertwined fluctuations and isotope effects in the Hubbard-Holstein model on the square lattice from functional renormalization
• Magnetic impurities in a charge-ordered background
• Commensurate to Incommensurate Transition of Three Dimensional Charge Density Waves
• Phase diagram of the two-dimensional Hubbard-Holstein model: enhancement of $s$-wave pairing between charge and magnetic orders
• Disorder Suppression of Charge Density Waves in the Honeycomb Holstein Model