Fast approximation for the energy and density of electrons in two dimensions

Details Fast approximation for the energy and density of electrons in two dimensions Fast approximation for the energy and density of electrons in two dimensions

2011-11-28

arxiv.org/abs/1111.6470v1

Physics

Condensed Matter

Strongly Correlated Electrons

Scientific paper

We derive a self-consistent variant of the energy functional presented in S. Pittalis and E. Rasanen, Phys. Rev. B 80, 165112 (2009). The resulting scheme is an explicit orbital-free representation of the electron density and energy in terms of the external potential, the number of electrons, and the chemical potential determined upon normalization. The method yields reasonable results for two-dimensional quantum dots, rings, and slabs with a practically negligible computational cost. Both the benefits and drawbacks of the approach are analyzed.

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