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Phys. Rev. Lett. 101, 016406 (2008) [4 pages]

Collapse of the Electron Gas to Two Dimensions in Density Functional Theory

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Lucian A. Constantin1, John P. Perdew1, and J. M. Pitarke2,3
1Department of Physics and Quantum Theory Group, Tulane University, New Orleans, Louisiana 70118, USA
2CIC nanoGUNE Consolider, Mikeletegi Pasealekua 56, E-20009 Donostia, Basque Country, Spain
3Materia Kondentsatuaren Fisika Saila, UPV/EHU, and Centro Física Materiales CSIC-UPV/EHU, 644 Posta kutxatila, E-48080 Bilbo, Basque Country, Spain

See Also: Erratum

Received 26 March 2008; published 3 July 2008

Local and semilocal density functional approximations for the exchange-correlation energy fail badly in the zero-thickness limit of a quasi-two-dimensional electron gas, where the density variation is rapid almost everywhere. Here we show that a fully nonlocal fifth-rung functional, the inhomogeneous Singwi-Tosi-Land-Sjölander (STLS) approach, which employs both occupied and unoccupied Kohn-Sham orbitals, recovers the true two-dimensional STLS limit and appears to be remarkably accurate for any thickness of the slab (and thus for the dimensional crossover). We also show that this good behavior is only partly due to the use of the full exact exchange energy.

© 2008 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevLett.101.016406
DOI:
10.1103/PhysRevLett.101.016406
PACS:
71.10.Ca, 71.15.Mb, 71.45.Gm

See Also

Erratum: Lucian A. Constantin, John P. Perdew, and J. M. Pitarke, Erratum: Collapse of the Electron Gas to Two Dimensions in Density Functional Theory [Phys. Rev. Lett. 101, 016406 (2008)], Phys. Rev. Lett. 101, 269902 (2008).