---
res:
bibo_abstract:
- We derive upper and lower bounds on the critical temperature Tc and the energy
gap Ξ (at zero temperature) for the BCS gap equation, describing spin- 1 2 fermions
interacting via a local two-body interaction potential λV(x). At weak coupling
λ 1 and under appropriate assumptions on V(x), our bounds show that Tc ∼A exp(-B/λ)
and Ξ∼C exp(-B/λ) for some explicit coefficients A, B, and C depending on the
interaction V(x) and the chemical potential μ. The ratio A/C turns out to be a
universal constant, independent of both V(x) and μ. Our analysis is valid for
any μ; for small μ, or low density, our formulas reduce to well-known expressions
involving the scattering length of V(x).@eng
bibo_authorlist:
- foaf_Person:
foaf_givenName: Christian
foaf_name: Hainzl, Christian
foaf_surname: Hainzl
- foaf_Person:
foaf_givenName: Robert
foaf_name: Robert Seiringer
foaf_surname: Seiringer
foaf_workInfoHomepage: http://www.librecat.org/personId=4AFD0470-F248-11E8-B48F-1D18A9856A87
orcid: 0000-0002-6781-0521
bibo_doi: 10.1103/PhysRevB.77.184517
bibo_issue: '18'
bibo_volume: 77
dct_date: 2008^xs_gYear
dct_publisher: American Physical Society@
dct_title: Critical temperature and energy gap for the BCS equation@
...