Spin-polarized Fermi superfluids as Bose-Fermi mixtures

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dc.creatorTaylor, E.
dc.creatorGriffin, A.
dc.creatorOhashi, Y.
dc.date2007-03-16
dc.date2007-07-10
dc.date.accessioned2026-07-07T12:12:05Z
dc.date.available2026-07-07T12:12:05Z
dc.descriptionIn the strong-coupling BEC region where a Feshbach resonance gives rise to tightly-bound dimer molecules, we show that a spin-polarized Fermi superfluid reduces to a simple Bose-Fermi mixture of Bose-condensed dimers and the leftover unpaired fermions. Using a many-body functional integral formalism, the Gaussian fluctuations give rise to an induced dimer-dimer interaction mediated by the unpaired fermions, with the dimer-fermion vertex being given by the (mean-field) Born approximation. Treating the pairing fluctuations to quartic order, we show how the action for a spin-polarized Fermi superfluid reduces to one for a Bose-Fermi mixture. This Bose-Fermi action includes an expression for the effective dimer-unpaired fermion interaction in a spin-polarized Fermi superfluid beyond the Born approximation, in the superfluid phase at finite temperatures. In the low-density limit, we show how this dimer-fermion interaction gives the s-wave scattering length $a_{BF}=1.18a_F$ ($a_F$ is the s-wave fermion scattering length), a result first derived by Skorniakov and Ter-Martirosian in 1957 for three interacting fermions.
dc.descriptionThe expurgated version; accepted for publication in PRA
dc.identifierhttps://arxiv.org/abs/cond-mat/0703433
dc.identifierhttp://arxiv.org/abs/cond-mat/0703433
dc.identifierPhys. Rev. A 76, 023614 (2007)
dc.identifierdoi:10.1103/PhysRevA.76.023614
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/210433
dc.subjectOther Condensed Matter
dc.titleSpin-polarized Fermi superfluids as Bose-Fermi mixtures
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