---
_id: '7015'
abstract:
- lang: eng
  text: 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.
article_number: '035127'
article_processing_charge: No
article_type: original
arxiv: 1
author:
- first_name: Mathieu
  full_name: Lewin, Mathieu
  last_name: Lewin
- first_name: Elliott H.
  full_name: Lieb, Elliott H.
  last_name: Lieb
- first_name: Robert
  full_name: Seiringer, Robert
  id: 4AFD0470-F248-11E8-B48F-1D18A9856A87
  last_name: Seiringer
  orcid: 0000-0002-6781-0521
citation:
  ama: Lewin M, Lieb EH, Seiringer R. Floating Wigner crystal with no boundary charge
    fluctuations. <i>Physical Review B</i>. 2019;100(3). doi:<a href="https://doi.org/10.1103/physrevb.100.035127">10.1103/physrevb.100.035127</a>
  apa: Lewin, M., Lieb, E. H., &#38; Seiringer, R. (2019). Floating Wigner crystal
    with no boundary charge fluctuations. <i>Physical Review B</i>. American Physical
    Society. <a href="https://doi.org/10.1103/physrevb.100.035127">https://doi.org/10.1103/physrevb.100.035127</a>
  chicago: Lewin, Mathieu, Elliott H. Lieb, and Robert Seiringer. “Floating Wigner
    Crystal with No Boundary Charge Fluctuations.” <i>Physical Review B</i>. American
    Physical Society, 2019. <a href="https://doi.org/10.1103/physrevb.100.035127">https://doi.org/10.1103/physrevb.100.035127</a>.
  ieee: M. Lewin, E. H. Lieb, and R. Seiringer, “Floating Wigner crystal with no boundary
    charge fluctuations,” <i>Physical Review B</i>, vol. 100, no. 3. American Physical
    Society, 2019.
  ista: Lewin M, Lieb EH, Seiringer R. 2019. Floating Wigner crystal with no boundary
    charge fluctuations. Physical Review B. 100(3), 035127.
  mla: Lewin, Mathieu, et al. “Floating Wigner Crystal with No Boundary Charge Fluctuations.”
    <i>Physical Review B</i>, vol. 100, no. 3, 035127, American Physical Society,
    2019, doi:<a href="https://doi.org/10.1103/physrevb.100.035127">10.1103/physrevb.100.035127</a>.
  short: M. Lewin, E.H. Lieb, R. Seiringer, Physical Review B 100 (2019).
date_created: 2019-11-13T08:41:48Z
date_published: 2019-07-25T00:00:00Z
date_updated: 2025-04-14T07:27:00Z
day: '25'
department:
- _id: RoSe
doi: 10.1103/physrevb.100.035127
ec_funded: 1
external_id:
  arxiv:
  - '1905.09138'
  isi:
  - '000477888200001'
intvolume: '       100'
isi: 1
issue: '3'
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://arxiv.org/abs/1905.09138
month: '07'
oa: 1
oa_version: Preprint
project:
- _id: 25C6DC12-B435-11E9-9278-68D0E5697425
  call_identifier: H2020
  grant_number: '694227'
  name: Analysis of quantum many-body systems
publication: Physical Review B
publication_identifier:
  eissn:
  - 2469-9969
  issn:
  - 2469-9950
publication_status: published
publisher: American Physical Society
quality_controlled: '1'
scopus_import: '1'
status: public
title: Floating Wigner crystal with no boundary charge fluctuations
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 100
year: '2019'
...