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

2007/07/31 by H. Bakrim, C. Bourbonnais · 1 citation
Physics and Astronomy · #Physics of Superconductivity and Magnetism #Quantum and electron transport phenomena #Quantum, superfluid, helium dynamics #cond-mat.stat-mech #cond-mat.str-el

paper · pdf · doi:10.1103/physrevb.76.195115

published as Phys. Rev. B 76, 195115 (2007) · 15 pages, 8 Figures

arxiv created 2007/07/31 · openalex publication_date 2007/11/16 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/04

Abstract

An extension of the renormalization group method that includes the effect of retardation for the interactions of a fermion gas is used to reexamine the quantum and classical properties of Peierls-type 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.

Citations

• Phase diagram and isotope effects of the quasi-one-dimensional electron gas coupled to phonons
• Adiabatic-antiadiabatic crossover in a spin-Peierls chain
• Phonon-mediated tuning of instabilities in the Hubbard model at half-filling
• Peierls instability and optical response in the one-dimensional half-filled Holstein model of spinless fermions

Cited by

• Quantized lattice dynamic effects on the spin-Peierls transition

Related

• Competition of Phonons and Magnetic Interaction in One-Dimensional Fermion Systems
• Phase diagram and isotope effects of the quasi-one-dimensional electron gas coupled to phonons
• Peierls instability and optical response in the one-dimensional half-filled Holstein model of spinless fermions
• Quantum lattice dynamical effects on the single-particle excitations in 1D Mott and Peierls insulators
• Neel to spin-Peierls transition in the ground state of a quasi-1D Heisenberg model coupled to bond phonons