Interplay of Site and Bond Electron-Phonon Coupling in One Dimension

Abstract

The interplay of bond and charge correlations is studied in a one-dimensional model with both Holstein and Su-Schrieffer-Heeger (SSH) couplings to quantum phonons. The problem is solved exactly by quantum Monte Carlo simulations. If one of the couplings dominates, the ground state is a Peierls insulator with long-range bond or charge order. At weak coupling, the results suggest a spin-gapped and repulsive metallic phase arising from the competing order parameters and lattice fluctuations. Such a phase is absent from the pure SSH model even for quantum phonons. At strong coupling, evidence for a continuous transition between the two Peierls states is presented.

arXiv comment5 pages, final version

References in corpus (20)

• One-Dimensional Fermi liquids
• Continuous Time Quantum Monte Carlo method for fermions
• Froehlich Polaron and Bipolaron: Recent Developments
• Bond-order-wave phase and quantum phase transitions in the one-dimensional extended Hubbard model
• Ground-state phase diagram of a half-filled one-dimensional extended Hubbard model
• Ground state phases of the Half-Filled One-Dimensional Extended Hubbard Model
• Diagrammatic Determinantal methods: projective schemes and applications to the Hubbard-Holstein model
• Phase diagram of the one-dimensional half-filled extended Hubbard model
• Metal-insulator transition in the one-dimensional Holstein model at half filling
• Intermediate phase of the one dimensional half-filled Hubbard-Holstein model
• Metallicity in the half-filled Holstein-Hubbard model
• Phase diagram of the one dimensional Hubbard-Holstein Model at 1/2 and 1/4 filling
• Dynamical correlation functions of one-dimensional superconductors and Peierls and Mott insulators
• Peierls transition in the presence of finite-frequency phonons in the one-dimensional extended Peierls-Hubbard model at half-filling
• Excitation spectra and spin gap of the half-filled Holstein-Hubbard model
• Excitation spectra and correlation functions of quantum Su-Schrieffer-Heeger models
• Nature of ground states in one-dimensional electron-phonon Hubbard models at half-filling
• Dynamic charge correlations near the Peierls transition
• Finite-size effects in Luther-Emery phases of Holstein and Hubbard models
• Can Quantum Lattice Fluctuations Destroy the Peierls Broken Symmetry Ground State?

Cited by in corpus (15)

• Light Bipolarons Stabilized by Peierls Electron-Phonon Coupling
• Two-dimensional Holstein-Hubbard model: Critical temperature, Ising universality, and bipolaron liquid
• Quantum Monte Carlo study of lattice polarons in the two-dimensional multi-orbital Su-Schrieffer-Heeger model
• The polaron paradigm: a dual coupling effective band model
• A perspective on machine learning and data science for strongly correlated electron problems
• Density waves in strongly correlated quantum chains
• Time-dependent variational principle with controlled bond expansion for matrix product states
• Quantum dynamics of the small-polaron formation in a superconducting analog simulator
• Polaron transformations in the realistic model of the strongly correlated electron system
• Cooperative enhancement of superconducting correlations by electron-electron and electron-phonon interactions in the quarter-filled band
• Supersolid Phase in the Diluted Holstein Model
• Magnetic, charge, and bond order in the two-dimensional Su-Schrieffer-Heeger-Holstein model
• Particularities of polaron formation in the extended Holstein model with next nearest neighbor transfer
• Metal-insulator transition of spinless fermions coupled to dispersive optical bosons
• Topological analog of the magnetic bit within the Su-Schrieffer-Heeger-Holstein model