Boson induced s-wave pairing in dilute boson-fermion mixtures

Details Boson induced s-wave pairing in dilute boson-fermion mixtures Boson induced s-wave pairing in dilute boson-fermion mixtures

2001-12-19

arxiv.org/abs/cond-mat/0112354v1

Physics

Condensed Matter

Statistical Mechanics

12 pages, no figures

Scientific paper

10.1103/PhysRevA.66.023605

We show that in dilute boson-fermion mixtures with fermions in two internal states, even when the bare fermion-fermion interaction is repulsive, the exchange of density fluctuations of the Bose condensate may lead to an effective fermion-fermion attraction, and thus to a Cooper instability in the s-wave channel. We give an analytical method to derive the associated $T_c$ in the limit where the phonon branch of the Bogoliubov excitation spectrum of the bosons is important. We find a $T_c$ of the same order as for a pure Fermi gas with bare attraction.

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