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

Abstract

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.

8 pages, Submitted to Journal of Chemical Physics

References in corpus (3)

• Including nonlocality in exchange-correlation kernel from time-dependent current density functional theory: Application to the stopping power of electron liquids
• Exact dynamical exchange-correlation kernel of a weakly inhomogeneous electron gas
• Time-dependent current-density functional theory for the friction of ions in an interacting electron gas

Cited by in corpus (4)

• Progress in Time-Dependent Density-Functional Theory
• Dielectrics in a time-dependent electric field: a real-time approach based on density-polarization functional theory
• Design of effective kernels for spectroscopy and molecular transport: time-dependent current-density-functional theory
• Viscous current-induced forces