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Density-functional theory for fermions in the unitary regime | T. Papenbrock
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7 Jul 2005 | Journal: | Phys.Rev. A72 (2005) 041603 DOI: 10.1103/PhysRevA.72.041603 | Subject: | Soft Condensed Matter; Superconductivity | cond-mat.soft cond-mat.supr-con nucl-th | Abstract: | 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. | Source: | arXiv, cond-mat/0507183 | Services: | Forum | Review | PDF | Favorites |
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