• français
    • English
  • français 
    • français
    • English
  • Connexion
JavaScript is disabled for your browser. Some features of this site may not work without it.
Accueil

Afficher

Cette collectionPar Date de CréationAuteursTitresSujetsNoms de revueToute la baseCentres de recherche & CollectionsPar Date de CréationAuteursTitresSujetsNoms de revue

Mon compte

Connexion

Statistiques

Afficher les statistiques d'usage

Floating Wigner crystal with no boundary charge fluctuations

Thumbnail
Ouvrir
1905.09138.pdf (238.4Kb)
Date
2019-07
Indexation documentaire
Sciences connexes (physique, astrophysique)
Subject
floating crystal; Jellium
Nom de la revue
Physical Review B : Condensed matter and materials physics
Volume
100
Numéro
035127
Date de publication
07-2019
DOI
http://dx.doi.org/10.1103/PhysRevB.100.035127
URI
https://basepub.dauphine.fr/handle/123456789/20132
Collections
  • CEREMADE : Publications
Métadonnées
Afficher la notice complète
Auteur
Lewin, Mathieu
60 CEntre de REcherches en MAthématiques de la DEcision [CEREMADE]
Lieb, Elliott H.
95369 Department of Physics
Seiringer, Robert
224226 Institute of Science and Technology Austria
Type
Article accepté pour publication ou publié
Résumé en anglais
We modify the “floating crystal” trial state for the classical homogeneous electron gas (also known as jellium), in order to suppress the boundary charge fluctuations that are known to lead to a macroscopic increase of the energy. The argument is to melt a thin layer of the crystal close to the boundary and consequently replace it by an incompressible fluid. With the aid of this trial state we show that three different definitions of the ground-state energy of jellium coincide. In the first point of view the electrons are placed in a neutralizing uniform background. In the second definition there is no background but the electrons are submitted to the constraint that their density is constant, as is appropriate in density functional theory. Finally, in the third system each electron interacts with a periodic image of itself; that is, periodic boundary conditions are imposed on the interaction potential.

  • Accueil Bibliothèque
  • Site de l'Université Paris-Dauphine
  • Contact
SCD Paris Dauphine - Place du Maréchal de Lattre de Tassigny 75775 Paris Cedex 16

 Cette création est mise à disposition sous un contrat Creative Commons.