Renormalisation Flow and Universality for Ultracold Fermionic Atoms

Details Renormalisation Flow and Universality for Ultracold Fermionic Atoms Renormalisation Flow and Universality for Ultracold Fermionic Atoms

2007-03-14

arxiv.org/abs/cond-mat/0703366v2

Phys.Rev.A76:053627,2007

Physics

Condensed Matter

Superconductivity

19 pages, 3 figures, to be published in PRA

Scientific paper

10.1103/PhysRevA.76.053627

A functional renormalisation group study for the BEC-BCS crossover for ultracold gases of fermionic atoms is presented. We discuss the fixed point which is at the origin of universality for broad Feshbach resonances. All macroscopic quantities depend only on one relevant parameter, the concentration a k_F, besides their dependence on the temperature in units of the Fermi energy. In particular, we compute the universal ratio between molecular and atomic scattering length in vacuum. We also present an estimate to which level of accuracy universality holds for gases of Li and K atoms.

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