Excitonic effects in solids described by time-dependent density functional theory

Details Excitonic effects in solids described by time-dependent density functional theory Excitonic effects in solids described by time-dependent density functional theory

2001-09-24

arxiv.org/abs/cond-mat/0109434v2

Phys. Rev. Lett. 88, 066404 (2002)

Physics

Condensed Matter

6 pages, 1 figure

Scientific paper

10.1103/PhysRevLett.88.066404

Starting from the many-body Bethe-Salpeter equation we derive an exchange-correlation kernel $f_{xc}$ that reproduces excitonic effects in bulk materials within time-dependent density functional theory. The resulting $f_{xc}$ accounts for both self-energy corrections and the electron-hole interaction. It is {\em static}, {\em non-local} and has a long-range Coulomb tail. Taking the example of bulk silicon, we show that the $- \alpha / q^2$ divergency is crucial and can, in the case of continuum excitons, even be sufficient for reproducing the excitonic effects and yielding excellent agreement between the calculated and the experimental absorption spectrum.

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