Macroscopic and microscopic components of exchange-correlation interactions

TitleMacroscopic and microscopic components of exchange-correlation interactions
Publication TypePalaiseau Article
Acknowledgements

None

Author Address

Sottile, F (Reprint Author), Ecole Polytech, CNRS,UMR 7642, CEA,DSM, Solides Irradies Lab, F-91128 Palaiseau, France. Ecole Polytech, CNRS,UMR 7642, CEA,DSM, Solides Irradies Lab, F-91128 Palaiseau, France. Inst Naturvetenskap Hogskolan & Skovde, S-54128 Skovde, Sweden. RICS, Tsukuba, Ibaraki 3058568, Japan.

DOI10.1103/PhysRevB.68.205112
Sottile, F, Karlsson, K, Reining, L, Aryasetiawan, F
Year of Publication2003
JournalPhys. Rev. B
Volume68
URLhttp://dx.doi.org/10.1103/PhysRevB.68.205112
Keywordspaper
Abstract

We consider two commonly used approaches for the ab initio calculation of optical-absorption spectra, namely, many-body perturbation theory based on Green's functions and time-dependent density-functional theory (TDDFT). The former leads to the two-particle Bethe-Salpeter equation that contains a screened electron-hole interaction. We approximate this interaction in various ways, and discuss in particular the results obtained for a local contact potential. This, in fact, allows us to straightforwardly make the link to the TDDFT approach, and to discuss the exchange-correlation kernel f(xc) that corresponds to the contact exciton. Our main results, illustrated in the examples of bulk silicon, GaAs, argon, and LiF, are the following. (i) The simple contact exciton model, used on top of an ab initio calculated band structure, yields reasonable absorption spectra. (ii) Qualitatively extremely different f(xc) can be derived approximatively from the same Bethe-Salpeter equation. These kernels can however yield very similar spectra. (iii) A static f(xc), both with or without a long-range component, can create transitions in the quasiparticle gap. To the best of our knowledge, this is the first time that TDDFT has been shown to be able to reproduce bound excitons.

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