Exact renormalisation group flow for ultracold Fermi gases in unitary limit

Details Exact renormalisation group flow for ultracold Fermi gases in unitary limit Exact renormalisation group flow for ultracold Fermi gases in unitary limit

2007-04-30

arxiv.org/abs/0704.3984v4

J.Phys.A42:465002,2009

Physics

Condensed Matter

Superconductivity

11 pages, Revtex, misprints corrected, references and comments added

Scientific paper

10.1088/1751-8113/42/46/465002

We study the exact renormalisation group flow for ultracold Fermi-gases in unitary regime. We introduce a pairing field to describe the formation of the Cooper pairs, and take a simple ansatz for the effective action. Set of approximate flow equations for the effective couplings including boson and fermionic fluctuations is derived. At some value of the running scale, the system undergoes a phase transition to a gapped phase. The values of the energy density, chemical potential, pairing gap and the corresponding proportionality constants relating the interacting and non-interacting Fermi gases are calculated. Standard mean field results are recovered if we omit the boson loops.

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