English

Exchange-correlation potential for Current Density Functional Theory of frequency dependent linear response

Condensed Matter 2009-10-30 v1

Abstract

The dynamical, long-wavelength longitudinal and transverse exchange-correlation potentials for a homogeneous electron gas are evaluated in a microscopic model based on an approximate decoupling of the equation of motion for the current-current response function. The transverse spectrum turns out to be very similar to the longitudinal one. We obtain evidence for a strong spectral structure near twice the plasma frequency due to a two-plasmon threshold for two-pair excitations, which may be observable in inelastic scattering experiments. Our results give the entire input needed to implement the Time-Dependent Current Density Functional Theory scheme recently developed by G. Vignale and W. Kohn [Phys. Rev. Lett. 77, 2037 (1996)] and are fitted to analytic functions to facilitate such applications.

Keywords

Cite

@article{arxiv.cond-mat/9707062,
  title  = {Exchange-correlation potential for Current Density Functional Theory of frequency dependent linear response},
  author = {S. Conti and R. Nifosi' and M P Tosi},
  journal= {arXiv preprint arXiv:cond-mat/9707062},
  year   = {2009}
}

Comments

6 pages, 3 figures

R2 v1 2026-07-22T11:58:32.542Z