Many-body Diagrammatic Expansion for the Exchange-Correlation Kernel in Time-Dependent Density Functional Theory
Condensed Matter
2009-11-07 v2
Abstract
A diagrammatic expansion for the dynamic exchange-correlation kernel f_xc of time dependent density functional theory is formulated. It is shown that f_xc has no singularities at Kohn-Sham transition energies in every order of the perturbation theory. However, it may diverge with the system size in extended systems. This signifies that any approximate perturbative substitute for f_xc requires a consistent perturbative treatment of the equation for the response function to avoid uncontrollable errors in the many-body corrections to excitations energies.
Keywords
Cite
@article{arxiv.cond-mat/0108012,
title = {Many-body Diagrammatic Expansion for the Exchange-Correlation Kernel in Time-Dependent Density Functional Theory},
author = {I. V. Tokatly and R. Stubner and O. Pankratov},
journal= {arXiv preprint arXiv:cond-mat/0108012},
year = {2009}
}
Comments
RevTeX4, 4 pages, 4 figures, Eqs. (4) and (11) corrected