Wentzel-Bardeen singularity in coupled Luttinger liquids: transport properties

Abstract

The recent progress on 1 D interacting electrons systems and their applications to study the transport properties of quasi one dimensional wires is reviewed. We focus on strongly correlated electrons coupled to low energy acoustic phonons in one dimension. The Wentzel--Bardeen singularity suppresses antiferromagnetic fluctuations and pushes the system toward the metallic phase via an intermediate, metallic phase. The implications of this phenomenon on the transport properties of an ideal wire as well as the properties of a wire with weak or strong scattering are analyzed in a perturbative renormalization group calculation. This allows to recover the three regimes predicted from the divergence criteria of the response functions.

9 pages, REVTex 3.0, 4 figures on request ([email protected]). (paper submitted for the CNLS 94 conference "Quantum Complexity in Mesoscopic Systems", Los Alamos)

References in corpus (2)

• Susceptibility of the Spin 1/2 Heisenberg Antiferromagnetic Chain
• Resonant Tunneling Between Quantum Hall Edge States

Cited by in corpus (7)

• Photo--assisted current and shot noise in the fractional quantum Hall effect
• Electron backscattering from dynamical impurities in a Luttinger liquid
• Strongly Interacting Holes in Ge/Si Nanowires
• Conductance Increase by Electron-Phonon Interaction in Quantum Wires
• Decoherence of Schrodinger cat states in a Luttinger liquid
• Renormalization flow of a weak extended backscattering Hamiltonian in a non-chiral Tomonaga-Luttinger liquid
• Electron and phonon correlations in systems of one-dimensional electrons coupled to phonons