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.
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