Density-functional theory for fermions in the unitary regime

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dc.creatorPapenbrock, T.
dc.date2005-07-07
dc.date.accessioned2026-07-07T06:21:41Z
dc.date.available2026-07-07T06:21:41Z
dc.descriptionIn 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 $ξ$. We use a simple density functional parametrized by an effective mass and the universal constant $ξ$, and employ Kohn-Sham density-functional theory to obtain the parameters from fit to one exactly solvable two-body problem. This yields $ξ=0.42$ and a rather large effective mass. Our approach is checked by similar Kohn-Sham calculations for the exactly solvable Calogero model.
dc.description5 pages, 2 figures
dc.identifierhttps://arxiv.org/abs/cond-mat/0507183
dc.identifierhttp://arxiv.org/abs/cond-mat/0507183
dc.identifierPhys.Rev. A72 (2005) 041603
dc.identifierdoi:10.1103/PhysRevA.72.041603
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/95675
dc.subjectSoft Condensed Matter
dc.subjectSuperconductivity
dc.subjectNuclear Theory
dc.titleDensity-functional theory for fermions in the unitary regime
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