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Wentzel-Bardeen singularity in coupled Luttinger liquids: transport properties

1994/08/26 by Thierry Martin · 1 citation
Mathematics · Physics and Astronomy · #Antiferromagnetism #Condensed matter physics #Divergence (linguistics) #Electron #Magnetic properties of thin films #Mathematics #Phase (matter) #Physics #Physics of Superconductivity and Magnetism #Quantum and electron transport phenomena #Quantum electrodynamics #Quantum mechanics #Renormalization #Scattering #Singularity #cond-mat

paper · pdf · doi:10.1016/0167-2789(94)00262-o

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)

arxiv created 1994/08/26 · openalex publication_date 1995/05/01 · arxiv updated 2015/06/25 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

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.

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