Excitation spectra and spin gap of the half-filled Holstein-Hubbard model

Abstract

Single-- and two-particle excitation spectra of the one-dimensional, half-filled Holstein-Hubbard model are calculated using the continuous-time quantum Monte Carlo method. In the metallic phase, the results are consistent with a Luther-Emery liquid that has gapped spin and single-particle excitations but a gapless charge mode. However, given the initially exponential dependence of the spin gap on the backscattering matrix element, the numerical excitation spectra appear gapless in the weak-coupling regime, and therefore resemble those of a Luttinger liquid. The Mott phase has the expected charge gap and gapless spin excitations. The Peierls state shows a charge, spin and single-particle gap, a soft phonon mode, backfolded shadow bands and soliton excitations. Arguments and numerical evidence for the existence of a nonzero spin gap throughout the metallic phase are provided in terms of equal-time spin and charge correlation functions.

arXiv comment10 pages, 8 figures, 1 table, published version

References in corpus (46)

• Continuous-time Monte Carlo methods for quantum impurity models
• One-Dimensional Fermi liquids
• Continuous Time Quantum Monte Carlo method for fermions
• Froehlich Polaron and Bipolaron: Recent Developments
• Weak Coupling Phase Diagram of the Two Chain Hubbard Model
• Cluster Perturbation Theory for Hubbard models
• Efficient DMFT-simulation of the Holstein-Hubbard Model
• Diagrammatic Determinantal methods: projective schemes and applications to the Hubbard-Holstein model
• Gap formation and soft phonon mode in the Holstein model
• Metal-insulator transition in the one-dimensional Holstein model at half filling
• Intermediate phase of the one dimensional half-filled Hubbard-Holstein model
• Phase Separation close to the density-driven Mott transition in the Hubbard-Holstein model
• First- and Second Order Phase Transitions in the Holstein-Hubbard Model
• Metallicity in the half-filled Holstein-Hubbard model
• Phase diagram for the one-dimensional Hubbard-Holstein model: A density-matrix renormalization group study
• Phase diagram of the one dimensional Hubbard-Holstein Model at 1/2 and 1/4 filling
• Dynamic response functions for the Holstein-Hubbard model
• Possible Exotic Phases in the One-Dimensional Extended Hubbard Model
• Dynamical correlation functions of one-dimensional superconductors and Peierls and Mott insulators
• Quantum lattice dynamical effects on the single-particle excitations in 1D Mott and Peierls insulators
• Competition between antiferromagnetic and charge order in the Hubbard-Holstein model
• Photoemission spectra of many-polaron systems
• Density-matrix renormalization group study of pairing when electron-electron and electron-phonon interactions coexist: effect of the electronic band structure
• Single-particle excitations and phonon softening in the one-dimensional spinless Holstein model
• Retardation effects in the Holstein-Hubbard chain at half-filling
• Adiabatic-antiadiabatic crossover in a spin-Peierls chain
• Spectral signatures of the Luttinger liquid to charge-density-wave transition
• Phonon Effects on Spin-Charge Separation in One Dimension
• Effect of Electron-Phonon Interaction Range for a Half-Filled Band in One Dimension
• Phonon softening and dispersion in the 1D Holstein model of spinless fermions
• The quantum vs classical aspects of one dimensional electron-phonon systems revisited by the renormalization group method
• Electron-phonon coupling and spin-charge separation in one-dimensional Mott insulators
• Temperature- and quantum phonon effects on Holstein-Hubbard bipolarons
• Spin, charge and single-particle spectral functions of the one-dimensional quarter filled Holstein model
• Dynamic charge correlations near the Peierls transition
• Nature of the Peierls- to Mott-insulator transition in 1D
• Spectral function of a quarter-filled one-dimensional CDW insulator
• Phase diagram of one-dimensional Hubbard-Holstein model at quarter-filling
• Spin-gap phase in nearly-half-filled one-dimensional conductors coupled with phonons
• DMRG analysis of the SDW-CDW crossover region in the 1D half-filled Hubbard-Holstein model
• Correlated singlet phase in the one-dimensional Hubbard-Holstein model
• Peierls-insulator Mott-insulator transition in 1D
• Phase diagram and isotope effects of the quasi-one-dimensional electron gas coupled to phonons
• On the Validity of the Tomonaga Luttinger Liquid Relations for the One-dimensional Holstein Model
• Peierls to superfluid crossover in the one-dimensional, quarter-filled Holstein model
• Carrier-density effects in many-polaron systems

Cited by in corpus (35)

• Phonon-Mediated Long-Range Attractive Interaction in One-Dimensional Cuprates
• Diagrammatic Monte Carlo method for many-polaron problems
• Charge-Density-Wave Transitions of Dirac Fermions Coupled to Phonons
• Two-dimensional Holstein-Hubbard model: Critical temperature, Ising universality, and bipolaron liquid
• Superconductivity, charge-density waves, antiferromagnetism, and phase separation in the Hubbard-Holstein model
• Strong Coupling Limit of the Holstein-Hubbard Model
• Zero-Temperature Phases of the 2D Hubbard-Holstein Model: A Non-Gaussian Exact Diagonalization Study
• Light-Enhanced Spin Fluctuations and d-Wave Superconductivity at a Phase Boundary
• Excitation spectra and correlation functions of quantum Su-Schrieffer-Heeger models
• Density-matrix embedding theory study of the one-dimensional Hubbard-Holstein model
• A coupled cluster framework for electrons and phonons
• Nature of ground states in one-dimensional electron-phonon Hubbard models at half-filling
• Finite-size effects in Luther-Emery phases of Holstein and Hubbard models
• Density waves in strongly correlated quantum chains
• Time-dependent variational principle with controlled bond expansion for matrix product states
• Phonon enhancement of electronic orders and negative isotope effect in the Hubbard-Holstein model on a square lattice
• Phonon spectral function of the one-dimensional Holstein-Hubbard model
• Interacting Holstein and extended-Holstein bipolarons
• Interplay of Site and Bond Electron-Phonon Coupling in One Dimension
• Using Nonequilibrium Dynamics to Probe Competing Orders in a Mott-Peierls System
• Interplay of charge, spin and lattice degrees of freedom on the spectral properties of the one-dimensional Hubbard-Holstein model
• One-dimensional Hubbard-Holstein model with finite range electron-phonon coupling
• Continuous-time quantum Monte Carlo for fermion-boson lattice models: Improved bosonic estimators and application to the Holstein model
• Variational wave functions for the spin-Peierls transition in the Su-Schrieffer-Heeger model with quantum phonons
• Dominant Superconducting Fluctuations in the One-Dimensional Extended Holstein-Extended Hubbard model
• Thermodynamic and spectral properties of adiabatic Peierls chains
• Charge and spin correlations of a Peierls insulator after a quench
• Equivalence of Rashba-Hubbard and Hubbard chains
• Chebyshev pseudosite matrix product state approach for the spectral functions of electron-phonon coupling systems
• Competing Correlated Insulators in multi-orbital systems coupled to phonons
• Steady-state Peierls transition in nanotube quantum simulator
• Observation of spin-charge separation and boundary bound states via the local density of states
• The one-dimensional Holstein model revisited
• Intertwined fluctuations and isotope effects in the Hubbard-Holstein model on the square lattice from functional renormalization
• Phase diagram of the two-dimensional Hubbard-Holstein model: enhancement of $s$-wave pairing between charge and magnetic orders