Density Functional Theory for non-relativistic Fermions in the Unitarity Limit
| dc.creator | Rupak, Gautam | |
| dc.creator | Schaefer, Thomas | |
| dc.date | 2008-04-17 | |
| dc.date | 2008-11-17 | |
| dc.date.accessioned | 2026-07-07T12:55:04Z | |
| dc.date.available | 2026-07-07T12:55:04Z | |
| dc.description | We derive an energy density functional for non-relativistic spin one-half fermions in the limit of a divergent two-body scattering length. Using an epsilon expansion around d=4-epsilon spatial dimensions we compute the coefficient of the leading correction beyond the local density approximation (LDA). In the case of N fermionic atoms trapped in a harmonic potential this correction has the form E=E_(LDA)(1+c_s (3N)^(-2/3)), where E_(LDA) is the total energy in LDA approximation. At next-to-leading order in the epsilon expansion we find c_s=1.68, which is significantly larger than the result for non-interacting fermions, c_s=0.5. | |
| dc.description | 17 pages, final version, Nuclear Physics A, in press | |
| dc.identifier | https://arxiv.org/abs/0804.2678 | |
| dc.identifier | http://arxiv.org/abs/0804.2678 | |
| dc.identifier | Nucl.Phys.A816:52-64,2009 | |
| dc.identifier | doi:10.1016/j.nuclphysa.2008.11.004 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/224148 | |
| dc.subject | Nuclear Theory | |
| dc.subject | Other Condensed Matter | |
| dc.title | Density Functional Theory for non-relativistic Fermions in the Unitarity Limit | |
| dc.type | text |