Unrestricted Hartree-Fock theory of Wigner crystals

@article{Trail2003UnrestrictedHT,
  title={Unrestricted Hartree-Fock theory of Wigner crystals},
  author={J. Trail and M. Towler and R. Needs},
  journal={Physical Review B},
  year={2003},
  volume={68},
  pages={045107}
}
  • J. Trail, M. Towler, R. Needs
  • Published 2003
  • Physics
  • Physical Review B
    • We demonstrate that unrestricted Hartree-Fock theory applied to electrons in a uniform potential has stable Wigner crystal solutions for r s ≥1.44 in two dimensions and r s ≥4.5 in three dimensions. The correlation energiesof the Wigner crystal phases are considerably smaller than those of the fluid phases at the same density. 
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    24 Citations
    Background Citations
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    Methods Citations
    2

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    Hartree-Fock ground state of the three-dimensional electron gas.
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    The uniform electron gas
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    Phase diagram of the low-density two-dimensional homogeneous electron gas.
    • 48
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    Three, four and five interacting electrons in a spherical box: an exact diagonalization study extended
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    A confined noninteracting many electron system: Accurate corrections to a statistical model
    Uniform electron gases. III. Low-density gases on three-dimensional spheres.
    • 8
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    On the crystalline states of the dilute jellium model
    • 1
    Excited-state Wigner crystals.
    • 2
    • PDF
    Ground-state energy and Wigner crystallization in thick two-dimensional electron systems
    • 4
    • PDF

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