On the Kohn--Sham density response in a localized basis set
Langue
en
Article de revue
Ce document a été publié dans
Journal of Chemical Physics. 2009-07-22, vol. 131, n° 4, p. 044103
American Institute of Physics
Résumé en anglais
We construct the Kohn--Sham density response function $\chi_{0}$ in a previously described basis of the space of orbital products. The calculational complexity of our construction is $O(N^{2}N_{\omega})$ for a molecule of ...Lire la suite >
We construct the Kohn--Sham density response function $\chi_{0}$ in a previously described basis of the space of orbital products. The calculational complexity of our construction is $O(N^{2}N_{\omega})$ for a molecule of $N$ atoms and in a spectroscopic window of $N_{\omega}$ frequency points. As a first application, we use $\chi_{0}$ to calculate molecular spectra from the Petersilka--Gossmann--Gross equation. With $\chi_{0}$ as input, we obtain correct spectra with an extra computational effort that grows also as $O(N^2 N_{\omega})$ and, therefore, less steeply in $N$ than the $O(N^{3})$ complexity of solving Casida's equations. Our construction should be useful for the study of excitons in molecular physics and in related areas where $\chi_{0}$ is a crucial ingredient.< Réduire
Mots clés en anglais
Noninteracting Kohn-Sham response
Project ANR
Nouveaux Outils pour la Smulation des Solides et Interfaces - ANR-07-CIS7-0005
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