--- res: bibo_abstract: - 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.@eng bibo_authorlist: - foaf_Person: foaf_givenName: Mathieu foaf_name: Lewin, Mathieu foaf_surname: Lewin - foaf_Person: foaf_givenName: Elliott H. foaf_name: Lieb, Elliott H. foaf_surname: Lieb - foaf_Person: foaf_givenName: Robert foaf_name: Seiringer, Robert foaf_surname: Seiringer foaf_workInfoHomepage: http://www.librecat.org/personId=4AFD0470-F248-11E8-B48F-1D18A9856A87 orcid: 0000-0002-6781-0521 bibo_doi: 10.1103/physrevb.100.035127 bibo_issue: '3' bibo_volume: 100 dct_date: 2019^xs_gYear dct_identifier: - UT:000477888200001 dct_isPartOf: - http://id.crossref.org/issn/2469-9950 - http://id.crossref.org/issn/2469-9969 dct_language: eng dct_publisher: American Physical Society@ dct_title: Floating Wigner crystal with no boundary charge fluctuations@ ...