BEC-BCS Crossover in the Epsilon Expansion

Simple item page
dc.creatorChen, Jiunn-Wei
dc.creatorNakano, Eiji
dc.date2006-10-01
dc.date.accessioned2026-07-07T11:04:20Z
dc.date.available2026-07-07T11:04:20Z
dc.descriptionThe epsilon expansion (expansion around four spacial dimensions) developed by Nishida and Son for a cold fermi gas with infinite scattering length is extended to finite scattering length to study the BEC-BCS crossover. A resummation of higher order logarithms and a suitable extension of fermion coupling in d-dimensions are developed in order to apply the theory in the BCS regime. The ratio between the chemical potential and the Fermi energy, mu/eF, is computed to next-to-leading order in the epsilon expansion as a function of eta=1/(a kF), where a is the scattering length and kF is the Fermi momentum in a non-interacting system. Near the unitarity limit eta->0, we found mu/eF=0.475-0.707 eta-0.5 eta^2. Near the BEC limit eta->infinity, mu/eF=0.062/eta - eta^2, while near the BCS limit eta->-infinity, mu/eF=1+0.707/eta. Overall good agreement with Quantum Monte Carlo results is found.
dc.description9 pages, 3 figures
dc.identifierhttps://arxiv.org/abs/cond-mat/0610011
dc.identifierhttp://arxiv.org/abs/cond-mat/0610011
dc.identifierPhys.Rev.A75:043620,2007
dc.identifierdoi:10.1103/PhysRevA.75.043620
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/188858
dc.subjectOther Condensed Matter
dc.subjectHigh Energy Physics - Lattice
dc.subjectHigh Energy Physics - Phenomenology
dc.subjectNuclear Theory
dc.titleBEC-BCS Crossover in the Epsilon Expansion
dc.typetext

Files

Collections

arXiv