On the relation between the scalar and tensor exchange-correlation kernels of the time-dependent density-functional theory

Details On the relation between the scalar and tensor exchange-correlation kernels of the time-dependent density-functional theory On the relation between the scalar and tensor exchange-correlation kernels of the time-dependent density-functional theory

2010-01-16

arxiv.org/abs/1001.2795v1

Journal of Chemical Physics 133, 021101 (2010)

Physics

Condensed Matter

Strongly Correlated Electrons

8 pages, Submitted to Journal of Chemical Physics

Scientific paper

10.1063/1.3455711

The scalar $f_{xc}$ and tensor $\hat{f}_{xc}$ 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". We expect our formula to serve as a convenient bridge between the scalar $f_{xc}$ which directly enters many applications and the tensor $\hat{f}_{xc}$ which, due to its locality in space, is much easier to approximate.

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