A local density functional for the short-range part of the electron-electron interaction

Details A local density functional for the short-range part of the electron-electron interaction A local density functional for the short-range part of the electron-electron interaction

2004-06-16

arxiv.org/abs/cond-mat/0406375v1

Phys. Rev. B 70, 205127 (2004)

Physics

Condensed Matter

Materials Science

7 pages, 3 figures

Scientific paper

10.1103/PhysRevB.70.205127

Motivated by recent suggestions --to split the electron-electron interaction into a short-range part, to be treated within the density functional theory, and a long-range part, to be handled by other techniques-- we compute, with a diffusion Monte Carlo method, the ground-state energy of a uniform electron gas with a modified, short-range-only electron-electron interaction $\erfc(\mu r)/r$, for different values of the cutoff parameter $\mu$ and of the electron density. After deriving some exact limits, we propose an analytic representation of the correlation energy which accurately fits our Monte Carlo data and also includes, by construction, these exact limits, thus providing a reliable ``short-range local-density functional''.

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