Phys. Rev. B 46, 12748–12749 (1992)Low-density limit of the correlation energy in the random-phase approximation for charged particles of arbitrary statisticsReceived 3 August 1992; published in the issue dated 15 November 1992 Within the random-phase approximation (RPA) or ring sum, the ground-state correlation energy for a uniform gas of charged particles with density parameter rs tends as rs→∞ to (-0.803 Ry) rs-3/4. This limit holds for fermions, as for bosons and distinguishable particles. For electrons, the next term in the low-density expansion (of order rs-1) cancels the exchange energy. Corrections to RPA must cancel the rs-3/4 term, and can modify the rs-1 term. © 1992 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevB.46.12748
DOI:
10.1103/PhysRevB.46.12748
PACS:
71.45.Gm, 71.45.Nt
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