Wavevector-analysis-of-the-jellium-exchange-correlation-surface-energy-in-the-random-phase-approximation:detailed-support-for-nonempirical-density-functionals.pdfVIP
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Wavevector-analysis-of-the-jellium-exchange-correlation-surface-energy-in-the-random-phase-approximation:detailed-support-for-nonempirical-density-functionals
Wavevector analysis of the jellium exchange-correlation surface energy in the
random-phase approximation: detailed support for nonempirical density functionals
1,2 3 3
J. M. Pitarke , Lucian A. Constantin , and John P. Perdew
1Materia Kondentsatuaren Fisika Saila, Zientzi Fakultatea, Euskal Herriko Unibertsitatea
644 Posta kutxatila, E-48080 Bilbo, Basque Country
2Donostia International Physics Center (DIPC) and Unidad F´ısica Materiales CSIC-UPV/EHU,
Manuel de Lardizabal Pasealekua, E-20018 Donostia, Basque Country
3Department of Physics and Quantum Theory Group, Tulane University, New Orleans, LA 70118
(Dated: June 29, 2006)
We report the first three-dimensional wavevector analysis of the jellium exchange-correlation (xc)
surface energy in the random-phase approximation (RPA). The RPA accurately describes long-range
xc effects which are challenging for semi-local approximations, since it includes the universal small-
wavevector behavior derived by Langreth and Perdew. We use these rigorous RPA calculations
for jellium slabs to test RPA versions of nonempirical semi-local density-functional approximations
for the xc energy. The local spin density approximation (LSDA) displays cancelling errors in the
small and intermediate wavevector regions. The PBE GGA improves the analysis for intermedi-
ate wavevectors, but remains too low for small wavevectors (implying too-low jellium xc surface
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