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Floating Wigner crystal with no boundary charge fluctuations

Lewin, Mathieu; Lieb, Elliott H.; Seiringer, Robert (2019), Floating Wigner crystal with no boundary charge fluctuations, Physical Review B : Condensed matter and materials physics, 100, 035127. 10.1103/PhysRevB.100.035127

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1905.09138.pdf (238.4Kb)
Type
Article accepté pour publication ou publié
Date
2019-07
Journal name
Physical Review B : Condensed matter and materials physics
Volume
100
Number
035127
Publication identifier
10.1103/PhysRevB.100.035127
Metadata
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Author(s)
Lewin, Mathieu cc
CEntre de REcherches en MAthématiques de la DEcision [CEREMADE]
Lieb, Elliott H.
Department of Physics
Seiringer, Robert
Abstract (EN)
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.
Subjects / Keywords
floating crystal; Jellium

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