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Floating Wigner crystal with no boundary charge fluctuations

hal.structure.identifierCEntre de REcherches en MAthématiques de la DEcision [CEREMADE]
dc.contributor.authorLewin, Mathieu
HAL ID: 1466
ORCID: 0000-0002-1755-0207
hal.structure.identifierDepartment of Physics
dc.contributor.authorLieb, Elliott H.
hal.structure.identifier
dc.contributor.authorSeiringer, Robert
dc.date.accessioned2019-10-14T11:44:50Z
dc.date.available2019-10-14T11:44:50Z
dc.date.issued2019-07
dc.identifier.issn2469-9950
dc.identifier.urihttps://basepub.dauphine.fr/handle/123456789/20132
dc.language.isoenen
dc.subjectfloating crystalen
dc.subjectJelliumen
dc.subject.ddc520en
dc.titleFloating Wigner crystal with no boundary charge fluctuationsen
dc.typeArticle accepté pour publication ou publié
dc.description.abstractenWe 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.en
dc.relation.isversionofjnlnamePhysical Review B : Condensed matter and materials physics
dc.relation.isversionofjnlvol100en
dc.relation.isversionofjnlissue035127en
dc.relation.isversionofjnldate2019-07
dc.relation.isversionofdoi10.1103/PhysRevB.100.035127en
dc.subject.ddclabelSciences connexes (physique, astrophysique)en
dc.relation.forthcomingnonen
dc.relation.forthcomingprintnonen
dc.description.ssrncandidatenonen
dc.description.halcandidatenonen
dc.description.readershiprechercheen
dc.description.audienceInternationalen
dc.relation.Isversionofjnlpeerreviewedouien
dc.relation.Isversionofjnlpeerreviewedouien
dc.date.updated2019-10-14T11:41:11Z
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