Periodic ground states of the electron gas in two and three dimensions

In this paper, we review the possibility of periodic ground states of the two‐ and three‐dimensional electron gas at high and intermediate densities. At the Hartree–Fock level, we obtain explicit solutions at all densities having lower energies than the homogeneous Fermi gas. In the high‐density reg...

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Bibliographic Details
Published inContributions to plasma physics (1988) Vol. 57; no. 10; pp. 524 - 531
Main Authors Bernu, B., Delyon, F., Baguet, Lucas, Holzmann, Markus
Format Journal Article
LanguageEnglish
Published Weinheim WILEY‐VCH Verlag GmbH & Co. KGaA 01.11.2017
Wiley Subscription Services, Inc
Subjects
Electron gas
Hartree–Fock level
Mathematical analysis
Spin density waves
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Summary:In this paper, we review the possibility of periodic ground states of the two‐ and three‐dimensional electron gas at high and intermediate densities. At the Hartree–Fock level, we obtain explicit solutions at all densities having lower energies than the homogeneous Fermi gas. In the high‐density region, the electrons only partially fill up the band approaching spin density waves as predicted by Overhauser. Preliminary variational Monte Carlo calculations on the polarized two‐dimensional electron gas confirm the existence of these new types of ground states.
ISSN:0863-1042
1521-3986
DOI:10.1002/ctpp.201700139