Boris Krippa 2009 J. Phys. A: Math. Theor. 42 465002 doi:10.1088/1751-8113/42/46/465002
Exact renormalization group flow for ultracold Fermi gases in the unitary limit
Boris Krippa
Show affiliationsWe study the exact renormalization group flow for ultracold Fermi gases in the unitary regime. We introduce a pairing field to describe the formation of the Cooper pairs and take a simple ansatz for the effective action. A set of approximate flow equations for 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.
- PACS
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05.30.Fk Fermion systems and electron gas
64.60.A- Specific approaches applied to studies of phase transitions
- MSC
- Subjects
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Quantum gases, liquids and solids
- Dates
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Issue 46 (20 November 2009)
Received 9 March 2009, in final form 30 August 2009
Published 26 October 2009
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Exact renormalization group flow for ultracold Fermi gases in the unitary limit
Boris Krippa 2009 J. Phys. A: Math. Theor. 42 465002
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