Abstract

This review provides a perspective on the use of orbital-dependent functionals, which is currently considered one of the most promising avenues in modern density-functional theory. The focus here is on four major themes: the motivation for orbital-dependent functionals in terms of limitations of semilocal functionals; the optimized effective potential as a rigorous approach to incorporating orbital-dependent functionals within the Kohn-Sham framework; the rationale behind and advantages and limitations of four popular classes of orbital-dependent functionals; and the use of orbital-dependent functionals for predicting excited-state properties. For each of these issues, both formal and practical aspects are assessed.

Keywords

PhysicsPerspective (graphical)Density functional theoryTheoretical physicsFocus (optics)Excited stateStatistical physicsOrbital-free density functional theoryTime-dependent density functional theoryQuantum mechanicsComputer scienceArtificial intelligence

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Publication Info

Year
2008
Type
article
Volume
80
Issue
1
Pages
3-60
Citations
1201
Access
Closed

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Cite This

Stephan Kümmel, Leeor Kronik (2008). Orbital-dependent density functionals: Theory and applications. Reviews of Modern Physics , 80 (1) , 3-60. https://doi.org/10.1103/revmodphys.80.3

Identifiers

DOI
10.1103/revmodphys.80.3