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

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 is analyzed in detail for diamond. Our all-electron results for C, Si, SiC, Ge, 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.

12 pages, 7 figures, 5 tables

References in corpus (7)

• Efficient implementation of the GW approximation within the all-electron FLAPW method
• All-electron GW approximation with the mixed basis expansion based on the full-potential LMTO method
• Elimination of the linearization error in GW calculations based on the linearized augmented-plane-wave method
• All-electron Exact Exchange Treatment of Semiconductors: Effect of Core-valence Interaction on Band-gap and $d$-band Position
• Exact-exchange density-functional calculations for noble-gas solids
• Hybrid functionals within the all-electron FLAPW method: implementation and applications of PBE0
• Efficient calculation of the Coulomb matrix and its expansion around k=0 within the FLAPW method

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