Approximations to the exact exchange potential: KLI versus semilocal

Abstract

In the search for an accurate and computationally efficient approximation to the exact exchange potential of Kohn-Sham density functional theory, we recently compared various semilocal exchange potentials to the exact one [F. Tran et al., Phys. Rev. B 91, 165121 (2015)]. It was concluded that the Becke-Johnson (BJ) potential is a very good starting point, but requires the use of empirical parameters to obtain good agreement with the exact exchange potential. In the present work, we extend the comparison by considering the Krieger-Li-Iafrate (KLI) approximation, which is a beyond-semilocal approximation. It is shown that overall the KLI and BJ-based potentials are the most reliable approximations to the exact exchange potential, however, sizeable differences, especially for the antiferromagnetic transition-metal oxides, can be obtained.

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Cited by in corpus (4)

• Assessment of the GLLB-SC potential for solid-state properties and attempts for improvement
• Semilocal approximations to the Kohn-Sham exchange potential as applied to a metal surface
• On the challenge to improve the density response with unusual gradient approximations
• Density-functional approach to the band gaps of finite and periodic two-dimensional systems