Adiabatic Connection in the Low-Density Limit

Details Adiabatic Connection in the Low-Density Limit Adiabatic Connection in the Low-Density Limit

2009-03-10

arxiv.org/abs/0903.1873v2

Physics

Condensed Matter

Other Condensed Matter

4 pages, 2 figures, submitted to Phys. Rev. A

Scientific paper

In density functional theory (DFT), the exchange-correlation functional can be exactly expressed by the adiabatic connection integral. It has been noticed that as lambda goes to infinity, the lambda^(-1) term in the expansion of W(lambda) vanishes. We provide a simple but rigorous derivation to this exact condition in this work. We propose a simple parametric form for the integrand, satisfying this condition, and show that it is highly accurate for weakly-correlated two-electron systems.

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