Peierls transition in the presence of finite-frequency phonons in the one-dimensional extended Peierls-Hubbard model at half-filling

Abstract

We report quantum Monte Carlo (stochastic series expansion) results for the transition from a Mott insulator to a dimerized Peierls insulating state in a half-filled, 1D extended Hubbard model coupled to optical bond phonons. Using electron-electron (e-e) interaction parameters corresponding approximately to polyacetylene, we show that the Mott-Peierls transition occurs at a finite value of the electron-phonon (e-ph) coupling. We discuss several different criteria for detecting the transition and show that they give consistent results. We calculate the critical e-ph coupling as a function of the bare phonon frequency and also investigate the sensitivity of the critical coupling to the strength of the e-e interaction. In the limit of strong e-e couplings, we map the model to a spin-Peierls chain and compare the phase boundary with previous results for the spin-Peierls transition. We point out effects of a nonlinear spin-phonon coupling neglected in the mapping to the spin-Peierls model.

7 pages, 5 figures

References in corpus (18)

• Stochastic series expansion method with operator-loop update
• Susceptibility of the Spin 1/2 Heisenberg Antiferromagnetic Chain
• Numerical Evidence for Multiplicative Logarithmic Corrections from Marginal Operators
• 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
• Phase Diagram of One-Dimensional Extended Hubbard Model at Half Filling
• Mechanism of CDW-SDW Transition in One Dimension
• Phase diagram of the one-dimensional Holstein model of spinless fermions
• Metal-insulator transition in the one-dimensional Holstein model at half filling
• Phase diagram of a Heisenberg spin-Peierls model with quantum phonons
• Nonadiabatic Approach to Spin-Peierls Transitions via Flow Equations
• Possible Exotic Phases in the One-Dimensional Extended Hubbard Model
• Peierls Dimerization with Non-Adiabatic Spin-Phonon Coupling
• Dynamics of the Peierls-active phonon modes in CuGeO_3
• Spin-Peierls transition in the Heisenberg chain with finite-frequency phonons
• Quantum lattice fluctuations in a frustrated Heisenberg spin-Peierls chain
• Nature of the Peierls- to Mott-insulator transition in 1D
• Spin-Phonon Chains with Bond Coupling

Cited by in corpus (38)

• Dimerization in a half-filled one-dimensional extended Hubbard model
• Intermediate phase of the one dimensional half-filled Hubbard-Holstein model
• Quantum Monte Carlo and variational approaches to the Holstein model
• Ground-state phase diagram of the one-dimensional half-filled extended Hubbard model
• Phase diagram of the one dimensional Hubbard-Holstein Model at 1/2 and 1/4 filling
• Quantum Monte Carlo Simulations of the 2D Su-Schrieffer-Heeger Model
• Quantum lattice dynamical effects on the single-particle excitations in 1D Mott and Peierls insulators
• Antiferromagnetism induced by electron-phonon-coupling
• Excitation spectra and correlation functions of quantum Su-Schrieffer-Heeger models
• Quantum Monte Carlo study of lattice polarons in the two-dimensional multi-orbital Su-Schrieffer-Heeger model
• Robustness of Antiferromagnetism in the Su-Schrieffer-Heeger-Hubbard model
• The quantum vs classical aspects of one dimensional electron-phonon systems revisited by the renormalization group method
• Temperature-driven transition from the Wigner Crystal to the Bond-Charge-Density Wave in the Quasi-One-Dimensional Quarter-Filled band
• 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
• Interplay of Site and Bond Electron-Phonon Coupling in One Dimension
• Directed-Loop Quantum Monte Carlo Method for Retarded Interactions
• Competing Orders and Unconventional Criticality in the Su-Schrieffer-Heeger Model
• The role of Coulomb correlation in charge density wave of CuTe
• A functional renormalization group study of the two dimensional Su-Schrieffer-Heeger-Hubbard model
• Peierls transition in the quantum spin-Peierls model
• Quantized Lattice Dynamic Effects on the Peierls transition of the Extended Hubbard Model
• Can Quantum Lattice Fluctuations Destroy the Peierls Broken Symmetry Ground State?
• Variational wave functions for the spin-Peierls transition in the Su-Schrieffer-Heeger model with quantum phonons
• Phase diagram and isotope effects of the quasi-one-dimensional electron gas coupled to phonons
• Attractive Su-Schrieffer-Heeger-Hubbard Model on a Square Lattice Away from Half-Filling
• Cooperative enhancement of superconducting correlations by electron-electron and electron-phonon interactions in the quarter-filled band
• Bond order wave (BOW) phase of the extended Hubbard model: Electronic solitons, paramagnetism, coupling to Peierls and Holstein phonons
• The Peierls-Hubbard model at weak coupling
• Study of the ionic Peierls-Hubbard model using density matrix renormalization group methods
• Phonon Induced Instabilities in Correlated Electron Hamiltonians
• Magnetic, charge, and bond order in the two-dimensional Su-Schrieffer-Heeger-Holstein model
• Superconductivity and charge-density-wave in the Holstein model on the Penrose Lattice
• Antiferromagnetic and bond-order-wave phases in the half-filled two-dimensional optical Su-Schrieffer-Heeger-Hubbard model
• Nonadiabatic Fluctuations and the Charge-Density-Wave Transition in One-Dimensional Electron-Phonon Systems: a Dynamic Self-Consistent
• Competitive density waves in quasi-one-dimensional electron systems
• Insulating and metallic phases in the one-dimensional Hubbard-Su-Schrieffer-Heeger model: Insights from a backflow-inspired variational wave function