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Many-body Diagrammatic Expansion for the Exchange-Correlation Kernel in Time-Dependent Density Functional Theory

Authors
  • Tokatly, I. V.
  • Stubner, R.
  • Pankratov, O.
Type
Published Article
Publication Date
Feb 28, 2002
Submission Date
Aug 01, 2001
Identifiers
DOI: 10.1103/PhysRevB.65.113107
arXiv ID: cond-mat/0108012
Source
arXiv
License
Unknown
External links

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.

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