The Peierls instability and charge density wave in one-dimensional electronic conductors

Jean-Paul Pouget

doi:10.1016/j.crhy.2015.11.008

Condensed matter physics in the 21st century: The legacy of Jacques Friedel

The Peierls instability and charge density wave in one-dimensional electronic conductors
[Instabilité de Peierls et onde de densité de charge dans les conducteurs électroniques à une dimension]

Jean-Paul Pouget ¹

¹ Laboratoire de physique des solides, UMR 8502, CNRS, Université Paris-Sud, 91405 Orsay, France

Comptes Rendus. Physique, Volume 17 (2016) no. 3-4, pp. 332-356.

Résumé
Abstract

Nous passons en revue les principaux aspects structuraux et électroniques de l'instabilité Peierls–onde de densité de charge (ODC) observée dans la plupart des conducteurs inorganiques et organiques à une dimension (1D). Nous commençons par replacer la genèse de ces concepts dans une perspective historique. Puis nous présentons les faits expérimentaux à la base de la description générale de ces systèmes 1D couplés électron–phonon développée à partir des années 1970. Dans ce cadre, nous considérerons en particulier l'effet des fluctuations 1D sur les degrés de liberté structuraux et électroniques et le rôle du couplage coulombien inter-chaine dans le mécanisme de stabilisation 3D de la transition de Peierls à température finie. Nous clarifions aussi, en relation avec les données expérimentales, les différentes conditions d'adiabaticité du couplage électron–phonon. Finalement, nous illustrons avec des mesures structurales récentes les travaux pionniers de Jacques Friedel sur l'élasticité et la plasticité des ODC et leur accrochage aux défauts via la formation d'oscillations de Friedel.

We review salient structural and electronic features associated with the concomitant Peierls–charge density wave (CDW) instabilities observed in most one-dimensional (1D) inorganic and organic electronic conductors. First of all, the genesis of these concepts is placed in an historical perspective. We then present basic experimental facts supporting the general description of these 1D electron–phonon coupled systems developed in the 1970s. In this framework we shall consider in particular the role of 1D fluctuations on both lattice and electronic degrees of freedom, and of the inter-chain Coulomb coupling between CDWs in stabilizing in 3D the Peierls transition at finite temperature. We also clarify, in relation with experimental findings, the various conditions of adiabaticity of the electron–phonon coupling. Finally we illustrate by recent structural measurements the pioneering work of Jacques Friedel on CDW elasticity and plasticity and CDW pinning to defects through the appearance of Friedel oscillations.

Publié le : 2015-12-17

DOI : 10.1016/j.crhy.2015.11.008

Keywords: One-dimensional electronic conductors, Peierls transition, Charge density wave, Kohn anomaly, CDW elasticity, plasticity and pinning, Friedel oscillations
Mot clés : Conducteurs électroniques à une dimension, Transition de Peierls, Onde de densité de charge, Anomalie de Kohn, Elasticité, plasticité et accrochage des ondes de densité de charge, Oscillations de Friedel

Affiliations des auteurs :

Jean-Paul Pouget ¹

¹ Laboratoire de physique des solides, UMR 8502, CNRS, Université Paris-Sud, 91405 Orsay, France

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Jean-Paul Pouget. The Peierls instability and charge density wave in one-dimensional electronic conductors. Comptes Rendus. Physique, Volume 17 (2016) no. 3-4, pp. 332-356. doi : 10.1016/j.crhy.2015.11.008. https://comptes-rendus.academie-sciences.fr/physique/articles/10.1016/j.crhy.2015.11.008/

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