The BCS - BEC Crossover In Arbitrary Dimensions
| dc.creator | Nussinov, Zohar | |
| dc.creator | Nussinov, Shmuel | |
| dc.date | 2004-10-24 | |
| dc.date | 2005-10-11 | |
| dc.date.accessioned | 2026-07-07T06:37:19Z | |
| dc.date.available | 2026-07-07T06:37:19Z | |
| dc.description | Cold atom traps and certain neutron star layers may contain fermions with separation much larger than the range of pair-wise potentials yet much shorter than the scattering length. Such systems can display {\em universal} characteristics independent of the details of the short range interactions. In particular, the energy per particle is a fraction $ξ$ of the Fermi energy of the free Fermion system. Our main result is that for space dimensions D smaller than two and larger than four a specific extension of this problem readily yields $ξ=1$ for all $D \le 2$ whereas $ξ$ is rigorously non-positive (and potentially vanishing) for all $ D \ge 4$. We discuss the D=3 case. A particular unjustified recipe suggests $ξ=1/2$ in D=3. | |
| dc.description | 9 pages, 1 figure | |
| dc.identifier | https://arxiv.org/abs/cond-mat/0410597 | |
| dc.identifier | http://arxiv.org/abs/cond-mat/0410597 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/100351 | |
| dc.subject | Strongly Correlated Electrons | |
| dc.subject | Other Condensed Matter | |
| dc.subject | Mathematical Physics | |
| dc.title | The BCS - BEC Crossover In Arbitrary Dimensions | |
| dc.type | text |