English

Exchange-Correlation Energy Functional Based on the Airy-Gas Reference System

Materials Science 2009-06-30 v1

Abstract

In recent work, generalized gradient approximations (GGA's) have been constructed from the energy density of the Airy gas for exchange but not for correlation. We report the random phase approximation (RPA) conventional correlation energy density of the Airy gas, the simplest edge electron gas, in which the auxiliary noninteracting electrons experience a linear potential. By fitting the Airy-gas RPA exchange-correlation energy density and making an accurate short-range correction to RPA, we propose a simple beyond-RPA GGA density functional ("ARPA+") for the exchange-correlation energy. Our functional, tested for jellium surfaces, atoms, molecules and solids, improves mildly over the local spin density approximation for atomization energies and lattice constants without much worsening the already-good surface exchange-correlation energies.

Keywords

Cite

@article{arxiv.0906.5032,
  title  = {Exchange-Correlation Energy Functional Based on the Airy-Gas Reference System},
  author = {Lucian A. Constantin and Adrienn Ruzsinszky and John P. Perdew},
  journal= {arXiv preprint arXiv:0906.5032},
  year   = {2009}
}

Comments

10 pages, 10 figures

R2 v1 2026-06-21T13:18:28.432Z