---
res:
  bibo_abstract:
  - 'Extending on ideas of Lewin, Lieb, and Seiringer [Phys. Rev. B 100, 035127 (2019)],
    we present a modified “floating crystal” trial state for jellium (also known as
    the classical homogeneous electron gas) with density equal to a characteristic
    function. This allows us to show that three definitions of the jellium energy
    coincide in dimensions d ≥ 2, thus extending the result of Cotar and Petrache
    [“Equality of the Jellium and uniform electron gas next-order asymptotic terms
    for Coulomb and Riesz potentials,” arXiv: 1707.07664 (2019)] and Lewin, Lieb,
    and Seiringer [Phys. Rev. B 100, 035127 (2019)] that the three definitions coincide
    in dimension d ≥ 3. We show that the jellium energy is also equivalent to a “renormalized
    energy” studied in a series of papers by Serfaty and others, and thus, by the
    work of Bétermin and Sandier [Constr. Approximation 47, 39–74 (2018)], we relate
    the jellium energy to the order n term in the logarithmic energy of n points on
    the unit 2-sphere. We improve upon known lower bounds for this renormalized energy.
    Additionally, we derive formulas for the jellium energy of periodic configurations.@eng'
  bibo_authorlist:
  - foaf_Person:
      foaf_givenName: Asbjørn Bækgaard
      foaf_name: Lauritsen, Asbjørn Bækgaard
      foaf_surname: Lauritsen
      foaf_workInfoHomepage: http://www.librecat.org/personId=e1a2682f-dc8d-11ea-abe3-81da9ac728f1
    orcid: 0000-0003-4476-2288
  bibo_doi: 10.1063/5.0053494
  bibo_issue: '8'
  bibo_volume: 62
  dct_date: 2021^xs_gYear
  dct_identifier:
  - UT:000683960800003
  dct_isPartOf:
  - http://id.crossref.org/issn/0022-2488
  - http://id.crossref.org/issn/1089-7658
  dct_language: eng
  dct_publisher: AIP Publishing@
  dct_subject:
  - Mathematical Physics
  - Statistical and Nonlinear Physics
  dct_title: Floating Wigner crystal and periodic jellium configurations@
...