The quantum vs classical aspects of one dimensional electron-phonon systems revisited by the renormalization group method

Abstract

An extension of the renormalization group method that includes the effect of retardation for the interactions of a fermion gas is used to re-examine the quantum and classical properties of Peierls- like states in one dimension. For models of spinless and spin-1/2 fermions interacting with either intra or intermolecular phonons the quantum corrections to the Peierls gap at half-filling are determined at arbitrary phonon frequency. The nature of quantum-classical transitions is clarified in weak coupling.

15 pages, 8 Figures

References in corpus (25)

• d-wave superconductivity and Pomeranchuk instability in the two-dimensional Hubbard model
• Phase diagram of the one-dimensional Holstein model of spinless fermions
• Phase diagram of a Heisenberg spin-Peierls model with quantum phonons
• Nonadiabatic Approach to Spin-Peierls Transitions via Flow Equations
• Density Matrix Renormalization Group Applied to the Ground State of the XY-Spin-Peierls System
• Peierls Dimerization with Non-Adiabatic Spin-Phonon Coupling
• Quantum Monte Carlo study of the one-dimensional Holstein model of spinless fermions
• Interplay between spin-density-wave and superconducting states in quasi-one-dimensional conductors
• Phonons and d-wave pairing in the two-dimensional Hubbard model
• Peierls instability and optical response in the one--dimensional half--filled Holstein model of spinless fermions
• Peierls transition in the presence of finite-frequency phonons in the one-dimensional extended Peierls-Hubbard model at half-filling
• Dynamical effects of phonons on soliton binding in spin-Peierls systems
• Superconducting pairing and density-wave instabilities in quasi-one-dimensional conductors
• Retardation effects in the Holstein-Hubbard chain at half-filling
• Renormalization Group Approach to Strong-Coupled Superconductors
• Adiabatic-antiadiabatic crossover in a spin-Peierls chain
• Phonon softening and dispersion in the 1D Holstein model of spinless fermions
• Phonon-mediated tuning of instabilities in the Hubbard model at half-filling
• Quantum phonons and the charge density wave transition temperature: a dynamical mean field study
• Phase diagram and optical conductivity of the one-dimensional spinless Holstein model
• Phase diagram and isotope effects of the quasi-one-dimensional electron gas coupled to phonons
• Phase Diagram of the Holstein-Hubbard Two-Leg Ladder
• Two-loop renormalization-group theory for the quasi-one-dimensional Hubbard model at half filling
• Analytic approach to the one-dimensional spin-Peierls system in the entire frequency range
• Phase transition and phase diagram at a general filling in the spinless one-dimensional Holstein Model

Cited by in corpus (20)

• Quantum Monte Carlo Simulations of the 2D Su-Schrieffer-Heeger Model
• Antiferromagnetism induced by electron-phonon-coupling
• Excitation spectra and spin gap of the half-filled Holstein-Hubbard model
• 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
• 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
• Competing Orders and Unconventional Criticality in the Su-Schrieffer-Heeger Model
• Dominant Superconducting Fluctuations in the One-Dimensional Extended Holstein-Extended Hubbard model
• On the Validity of the Tomonaga Luttinger Liquid Relations for the One-dimensional Holstein Model
• Quantized Lattice Dynamic Effects on the Spin-Peierls Transition
• Superconductivity close to the charge-density-wave instability
• Role of electron-phonon interaction in a magnetically driven mechanism for superconductivity
• Phonon Induced Instabilities in Correlated Electron Hamiltonians
• Peierls to superfluid crossover in the one-dimensional, quarter-filled Holstein model
• The one-dimensional Holstein model revisited
• Nonadiabatic Fluctuations and the Charge-Density-Wave Transition in One-Dimensional Electron-Phonon Systems: a Dynamic Self-Consistent
• Topological analog of the magnetic bit within the Su-Schrieffer-Heeger-Holstein model
• Renormalization group approach to anisotropic superconductivity