Local exact exchange potentials within the all-electron FLAPW method and a comparison with pseudopotential results

Markus Betzinger, Christoph Friedrich, Stefan Blügel, and Andreas Görling
Phys. Rev. B 83, 045105 – Published 25 January 2011

Abstract

We present a general numerical approach to construct local Kohn-Sham potentials from orbital-dependent functionals within the all-electron full-potential linearized augmented-plane-wave (FLAPW) method, in which core and valence electrons are treated on an equal footing. As a practical example, we present a treatment of the orbital-dependent exact-exchange (EXX) energy and potential. A formulation in terms of a mixed product basis, which is constructed from products of LAPW basis functions, enables a solution of the optimized-effective-potential (OEP) equation with standard numerical algebraic tools and without shape approximations for the resulting potential. We find that the mixed product and LAPW basis sets must be properly balanced to obtain smooth and converged EXX potentials without spurious oscillations. The construction and convergence of the exchange potential are analyzed in detail for diamond. Our all-electron results for C, Si, SiC, Ge, and GaAs semiconductors as well as Ne and Ar noble-gas solids are in very favorable agreement with plane-wave pseudopotential calculations. This confirms the adequacy of the pseudopotential approximation in the context of the EXX-OEP formalism and clarifies a previous contradiction between FLAPW and pseudopotential results.

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  • Received 28 September 2010

DOI:https://doi.org/10.1103/PhysRevB.83.045105

© 2011 American Physical Society

Authors & Affiliations

Markus Betzinger1,*, Christoph Friedrich1, Stefan Blügel1, and Andreas Görling2

  • 1Institut für Festkörperforschung and Institute for Advanced Simulation, Forschungszentrum Jülich and JARA, D-52425 Jülich, Germany
  • 2Lehrstuhl für Theoretische Chemie, Universität Erlangen-Nürnberg, Egerlandstr. 3, D-91058 Erlangen, Germany

  • *m.betzinger@fz-juelich.de

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Vol. 83, Iss. 4 — 1 January 2011

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