Epsilon expansion for a Fermi gas at infinite scattering length
| dc.creator | Nishida, Yusuke | |
| dc.creator | Son, Dam Thanh | |
| dc.date | 2006-04-21 | |
| dc.date | 2006-08-04 | |
| dc.date.accessioned | 2026-07-07T07:05:40Z | |
| dc.date.available | 2026-07-07T07:05:40Z | |
| dc.description | We show that there exists a systematic expansion around four spatial dimensions for Fermi gas in the unitarity regime. We perform the calculations to leading and next-to-leading orders in the expansion over epsilon=4-d, where d is the dimensionality of space. We find the ratio of chemical potential and Fermi energy to be mu/eF=1/2 epsilon^3/2 + 1/16 epsilon^5/2 ln epsilon -0.0246 epsilon^5/2 and the ratio of the gap in the fermion quasiparticle spectrum and the chemical potential to be Delta/mu=2/epsilon-0.691. The minimum of the fermion dispersion curve is located at |p|=(2m epsilon_0)^1/2 where epsilon_0/mu=2+O(epsilon). Extrapolation to d=3 gives results consistent with Monte Carlo simulations. | |
| dc.description | 4 pages, 4 figures, revtex4; version to appear in Phys. Rev. Lett | |
| dc.identifier | https://arxiv.org/abs/cond-mat/0604500 | |
| dc.identifier | http://arxiv.org/abs/cond-mat/0604500 | |
| dc.identifier | Phys.Rev.Lett. 97 (2006) 050403 | |
| dc.identifier | doi:10.1103/PhysRevLett.97.050403 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/109745 | |
| dc.subject | Other Condensed Matter | |
| dc.subject | High Energy Physics - Phenomenology | |
| dc.subject | Nuclear Theory | |
| dc.title | Epsilon expansion for a Fermi gas at infinite scattering length | |
| dc.type | text |