## Abstract

The scalar fxc and tensor f xc exchange-correlation (xc) kernels are key ingredients of the time-dependent density functional theory and the time-dependent current density functional theory, respectively. We derive a comparatively simple relation between these two kernels under the assumption that the dynamic xc can be considered "weak." A calculation of the frequency-dependent dielectric function of silicon using this relation in conjunction with Vignale-Kohn f xc demonstrates a potential of our method to account for the dynamic many-body effects within the rigorous scheme of time-dependent density functional theory. Our formula provides a bridge between the scalar fxc, which directly enters many applications, and the tensor f xc which, due to its locality in space, is much easier to approximate.

Original language | English |
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Article number | 021101 |

Journal | Journal of Chemical Physics |

Volume | 133 |

Issue number | 2 |

DOIs | |

State | Published - 14 Jul 2010 |

Externally published | Yes |