The beauty of impurities: Two revivals of Friedel's virtual bound-state concept

Antoine Georges

doi:10.1016/j.crhy.2015.12.005

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

The beauty of impurities: Two revivals of Friedel's virtual bound-state concept
[La beauté des impuretés : nouveaux contextes pour le concept d'état lié virtuel]

Antoine Georges ¹

¹ Collège de France, 11, place Marcellin-Berthelot, 75005 Paris, France

Comptes Rendus. Physique, Volume 17 (2016) no. 3-4, pp. 430-446.

Résumé
Abstract

Jacques Friedel est l'auteur de travaux pionniers sur la physique des impuretés dans les métaux. On lui doit, outre la découverte des oscillations de Friedel, le concept d'état lié virtuel et la découverte du lien entre déphasage et charge sur l'impureté (règle de somme de Friedel). Après avoir brièvement décrit certaines de ces notions, je présente leur utilisation fructueuse dans deux contextes récents : le blocage de Coulomb dans un point quantique et sa suppression par l'effet Kondo, ainsi que la théorie de champ moyen dynamique des matériaux à fortes corrélations électroniques.

Jacques Friedel pioneered the theoretical study of impurities and magnetic impurities in metals. He discovered Friedel oscillations, introduced the concept of virtual bound-state, and demonstrated that the charge on the impurity is related to the scattering phase-shift at the Fermi level (Friedel sum-rule). After a brief review of some of these concepts, I describe how they proved useful in two new contexts. The first one concerns the Coulomb blockade in quantum dots, and its suppression by the Kondo effect. The second one is the dynamical mean-field theory of strong electronic correlations.

Publié le : 2015-12-22

DOI : 10.1016/j.crhy.2015.12.005

Keywords: Jacques Friedel, Virtual bound-state, Phase-shift, Friedel sum-rule, Kondo effect, Anderson impurity model, Coulomb blockade, Strong electronic correlations, Dynamical Mean-Field Theory, Mott transition
Mot clés : Jacques Friedel, État lié virtuel, Phase-shift, Règle de somme de Friedel, Effet Kondo, Modèle d'impureté d'Anderson, Blocage de Coulomb, Corrélations électroniques fortes, Théorie du champ moyen dynamique, Transition de Mott

Affiliations des auteurs :

Antoine Georges ¹

¹ Collège de France, 11, place Marcellin-Berthelot, 75005 Paris, France

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Antoine Georges. The beauty of impurities: Two revivals of Friedel's virtual bound-state concept. Comptes Rendus. Physique, Volume 17 (2016) no. 3-4, pp. 430-446. doi : 10.1016/j.crhy.2015.12.005. https://comptes-rendus.academie-sciences.fr/physique/articles/10.1016/j.crhy.2015.12.005/

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