Abstract
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 a simple condition to know when this is going to happen, and an analytic expression for the associated in the most important limit where the phonon branch of the Bogoliubov excitation spectrum of the bosons is important. We find a of the same order as for a pure Fermi gas with bare attraction.
- Received 18 March 2002
DOI:https://doi.org/10.1103/PhysRevA.66.023605
©2002 American Physical Society