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Renormalisation Flow and Universality for Ultracold Fermionic Atoms

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arxiv cond-mat/0703366 v2 pith:QCEAQQWR submitted 2007-03-14 cond-mat.supr-con cond-mat.stat-mechhep-thquant-ph

Renormalisation Flow and Universality for Ultracold Fermionic Atoms

classification cond-mat.supr-con cond-mat.stat-mechhep-thquant-ph
keywords atomsuniversalityfermionicgasesrenormalisationultracoldaccuracyatomic
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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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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