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Phys. Rev. B 73, 035106 (2006) [8 pages]

On-top pair-correlation function in the homogeneous electron liquid

Zhixin Qian
Department of Physics, Peking University, Beijing 100871, China
Received 26 August 2005; revised 27 October 2005; published 9 January 2006

The ladder theory, in which the Bethe-Goldstone equation for the effective potential between two scattering particles plays a central role, is well known for its satisfactory description of the short-range correlations in the homogeneous electron liquid. By solving exactly the Bethe-Goldstone equation in the limit of large transfer momentum between two scattering particles, we obtain accurate results for the on-top pair-correlation function g(0), in both three dimensions and two dimensions. Furthermore, we prove, in general, that the ladder theory satisfies the cusp condition for the pair-correlation function g(r) at zero distance r=0.

©2006 The American Physical Society

URL: http://link.aps.org/doi/10.1103/PhysRevB.73.035106
DOI: 10.1103/PhysRevB.73.035106
PACS: 71.10.Ca; 05.30.Fk; 31.15.Ew
  • 71.10.Ca
    Electron gas, Fermi gas (condensed matter)
  • 05.30.Fk
    Fermion systems and electron gas (quantum statistical mechanics)
  • 31.15.Ew
    Density-functional theory (atoms and molecules)
  • YEAR: 2006
KEYWORDS: electron gas, potential scattering

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