Effect of Electron-Phonon Interaction Range for a Half-Filled Band in One Dimension

Abstract

We demonstrate that fermion-boson models with nonlocal interactions can be simulated at finite band filling with the continuous-time quantum Monte Carlo method. We apply this method to explore the influence of the electron-phonon interaction range for a half-filled band in one dimension, covering the full range from the Holstein to the Fröhlich regime. The phase diagram contains metallic, Peierls, and phase-separated regions, which we characterize in terms of static and dynamical correlation functions. In particular, our results reveal a suppression of $2k_F$ charge correlations with increasing interaction range, allowing for a power-law decay comparable to the pairing correlations.

5 pages, 5 figures

References in corpus (30)

• One-Dimensional Fermi liquids
• Continuous Time Quantum Monte Carlo method for fermions
• Froehlich Polaron and Bipolaron: Recent Developments
• Mobile small polaron
• Efficient DMFT-simulation of the Holstein-Hubbard Model
• Continuous-Time Quantum Monte Carlo Algorithm for the Lattice Polaron
• Diagrammatic Determinantal methods: projective schemes and applications to the Hubbard-Holstein model
• Bipolarons in the Extended Holstein Hubbard Model
• Metal-insulator transition in the one-dimensional Holstein model at half filling
• Froehlich-Coulomb model of high-temperature superconductivity and charge segregation in the cuprates
• Lattice polaron formation: Effects of non-screened electron-phonon interaction
• Superlight small bipolarons in the presence of strong Coulomb repulsion
• 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
• 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
• Optical conductivity of the Frohlich polaron
• Quantum lattice dynamical effects on the single-particle excitations in 1D Mott and Peierls insulators
• Superconductivity in a Hubbard-Froehlich Model and in cuprates
• Photoemission spectra of many-polaron systems
• Phonon Effects on Spin-Charge Separation in One Dimension
• Spin, charge and single-particle spectral functions of the one-dimensional quarter filled Holstein model
• Dynamic charge correlations near the Peierls transition
• Spectral functions of the spinless Holstein model
• 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
• Stripes in charge-transfer Mott insulators: effects of lattice vibrations and the Coulomb interaction
• On the Validity of the Tomonaga Luttinger Liquid Relations for the One-dimensional Holstein Model
• High temperature superconductivity and charge segregation in a model with strong long-range electron-phonon and Coulomb interactions

Cited by in corpus (28)

• Diagrammatic Monte Carlo method for many-polaron problems
• Quantum Monte Carlo Simulations of the 2D Su-Schrieffer-Heeger Model
• Two-dimensional Holstein-Hubbard model: Critical temperature, Ising universality, and bipolaron liquid
• Investigating polaron transitions with polar molecules
• Langevin Simulations of a Long Range Electron Phonon Model
• Antiferromagnetism induced by electron-phonon-coupling
• Excitation spectra and spin gap of the half-filled Holstein-Hubbard model
• Identifying a bath-induced Bose liquid in interacting spin-boson models
• Excitation spectra and correlation functions of quantum Su-Schrieffer-Heeger models
• High-precision numerical solution of the Fermi polaron problem and large-order behavior of its diagrammatic series
• Variational Monte Carlo Method for Electron-Phonon Coupled Systems
• Solution of the "sign problem" for the half filled Hubbard-Holstein model
• Finite-size effects in Luther-Emery phases of Holstein and Hubbard models
• Density waves in strongly correlated quantum chains
• Phonon spectral function of the one-dimensional Holstein-Hubbard model
• Interacting Holstein and extended-Holstein bipolarons
• Quantum Monte Carlo simulation of spin-boson models using wormhole updates
• 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
• Charge and spin correlations of a Peierls insulator after a quench
• Dominant Superconducting Fluctuations in the One-Dimensional Extended Holstein-Extended Hubbard model
• Chebyshev pseudosite matrix product state approach for the spectral functions of electron-phonon coupling systems
• Optical phonons for Peierls chains with long-range Coulomb interactions
• Peierls to superfluid crossover in the one-dimensional, quarter-filled Holstein model
• Dynamical response of ultracold interacting fermion-boson mixtures
• Higgs mode stabilization by photo-induced long-range interactions in a superconductor
• Metal-insulator transition of spinless fermions coupled to dispersive optical bosons
• Band-selective Holstein polaron in Luttinger liquid material A0.3MoO3 (A = K, Rb)