Physics – Condensed Matter – Materials Science
Scientific paper
2002-12-17
S. K"ummel and J. P. Perdew, Phys. Rev. Lett. 90, 043004 (2003).
Physics
Condensed Matter
Materials Science
Physical Review Letters, accepted for publication. 4 pages, 1 figure
Scientific paper
10.1103/PhysRevLett.90.043004
For exchange-correlation functionals that depend explicitly on the Kohn-Sham orbitals, the potential $V_{\mathrm{xc}\sigma}(\re)$ must be obtained as the solution of the optimized effective potential (OEP) integral equation. This is very demanding and has limited the use of orbital functionals like exact exchange. We demonstrate that the OEP can be obtained iteratively by solving a system of partial differential equations instead of an integral equation. This amounts to calculating the orbital shifts that exactify the Krieger-Li-Iafrate (KLI) approximation. Unoccupied orbitals do not need to be calculated. Accuracy and efficiency of the method are shown for atoms and clusters using the exact exchange energy. Counter-intuitive asymptotic limits of the exact OEP, not accessible from previous constructions, are presented.
Kümmel Stephan
Perdew John P.
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