Leading corrections to local approximations

Details Leading corrections to local approximations Leading corrections to local approximations

2010-02-06

arxiv.org/abs/1002.1351v2

Physics

Condensed Matter

Other Condensed Matter

Scientific paper

10.1103/PhysRevB.81.235128

For the kinetic energy of 1d model finite systems the leading corrections to local approximations as a functional of the potential are derived using semiclassical methods. The corrections are simple, non-local functionals of the potential. Turning points produce quantum oscillations leading to energy corrections, which are completely different from the gradient corrections that occur in bulk systems with slowly-varying densities. Approximations that include quantum corrections are typically much more accurate than their local analogs. The consequences for density functional theory are discussed.

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