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Phys. Rev. B 74, 045102 (2006) [15 pages]

Effect of self-consistency on quasiparticles in solids

Fabien Bruneval
Laboratoire des Solides Irradiés, UMR 7642, CNRS-CEA/DSM, École Polytechnique, F-91128 Palaiseau, France and European Theoretical Spectroscopy Facility (ETSF)

Nathalie Vast
Laboratoire des Solides Irradiés, UMR 7642, CNRS-CEA/DSM, École Polytechnique, F-91128 Palaiseau, France

Lucia Reining
Laboratoire des Solides Irradiés, UMR 7642, CNRS-CEA/DSM, École Polytechnique, F-91128 Palaiseau, France and European Theoretical Spectroscopy Facility (ETSF)
Received 27 January 2006; revised 15 May 2006; published 6 July 2006

We have evaluated the self-energy of solids within different self-consistent approximations, from bare and screened exchange to screened exchange plus Coulomb hole (COHSEX) and GW approximations. Our calculations for silicon, aluminum, and argon assess the quality of the local-density approximation (LDA) valence wave functions and density with respect to their GW counterparts. The LDA conduction wave functions are shown to be of significantly poorer quality, in particular for not highly symmetric points of the Brillouin zone. Comparing the different approaches we show that screened exchange alone is not reliable and we propose to combine a self-consistent COHSEX with a subsequent perturbative GW calculation that gives a reasonable estimate of the self-consistent GW results, at a much lower computational cost. The calculations are based on the pseudopotential method; they confirm its reliability.

©2006 The American Physical Society

URL: http://link.aps.org/doi/10.1103/PhysRevB.74.045102
DOI: 10.1103/PhysRevB.74.045102
PACS: 71.10.-w; 71.15.Ap; 71.20.-b
  • 71.10.-w
    Theories and models of many electron systems in condensed matter
  • 71.15.Ap
    Basis sets (LCAO, plane-wave, APW, etc.) and related methodology (scattering methods, ASA, linearized methods, etc.) (condensed matter electronic structure)
  • 71.20.-b
    Electronic structure of crystalline solids
  • YEAR: 2006
KEYWORDS: silicon, elemental semiconductors, aluminium, argon, quasiparticles, density functional theory, exchange interactions (electron), wave functions, Brillouin zones, perturbation theory, valence bands, conduction bands

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