Density-functional theory for fermions in the unitary regime

Details Density-functional theory for fermions in the unitary regime Density-functional theory for fermions in the unitary regime

2005-07-07

arxiv.org/abs/cond-mat/0507183v1

Phys.Rev. A72 (2005) 041603

Physics

Condensed Matter

Soft Condensed Matter

5 pages, 2 figures

Scientific paper

10.1103/PhysRevA.72.041603

In the unitary regime, fermions interact strongly via two-body potentials that exhibit a zero range and a (negative) infinite scattering length. The energy density is proportional to the free Fermi gas with a proportionality constant $\xi$. We use a simple density functional parametrized by an effective mass and the universal constant $\xi$, and employ Kohn-Sham density-functional theory to obtain the parameters from fit to one exactly solvable two-body problem. This yields $\xi=0.42$ and a rather large effective mass. Our approach is checked by similar Kohn-Sham calculations for the exactly solvable Calogero model.

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