Adapting approximate memory potentials for time-dependent density functional theory

Details Adapting approximate memory potentials for time-dependent density functional theory Adapting approximate memory potentials for time-dependent density functional theory

2007-08-03

arxiv.org/abs/0708.0575v1

Physics

Condensed Matter

Strongly Correlated Electrons

Scientific paper

10.1103/PhysRevB.77.085121

Frequency dependent exchange correlation kernels for time-dependent density functional theory can be used to construct approximate exchange-correlation potentials. The resulting potentials are usually not translationally covariant nor do they obey the so-called zero-force condition. These two basic symme-try requirements are essential for using the potentials in actual applications (even within the linear re-sponse regime). We provide two pragmatic methods for imposing these conditions. As an example we take the Gross and Kohn (GK) frequency dependent XC functional (Phys. Rev.Lett. 55, 2850 (1985)), correct it, and numerically test it on a sodium metal cluster. Violation of the basic symme-tries causes instabilities or spurious low frequency modes.

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