Simple dynamic exchange-correlation kernel of the uniform electron gas

Abstract

We propose a simple dynamic exchange-correlation kernel of the uniform electron gas. We model the reduction of the electron-electron interaction due to short-range exchange-correlation effects by introducing a frequency-dependent error-function effective interaction. By imposing the fulfillment of the compresibility and the third-frequency-moment sum rules, as well as the correct asymptotic behavior at large wave vectors, we find an accurate and simple dynamic exchange-correlation kernel that accurately reproduces the wave-vector analysis and the imaginary-frequency analysis of the correlation energy of the uniform electron gas.

6 pages, 8 figures, to appear in Phys. Rev. B

References in corpus (3)

• Long-range/short-range separation of the electron-electron interaction in density functional theory
• Analytical expressions for the local-field factor G(q) and the exchange-correlation kernel K_{xc}(r) of the homogeneous electron gas
• Properties of short-range and long-range correlation energy density functionals from electron-electron coalescence

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