Influence of Induced Interactions on the Superfluid Transition in Dilute Fermi Gases

Details Influence of Induced Interactions on the Superfluid Transition in Dilute Fermi Gases Influence of Induced Interactions on the Superfluid Transition in Dilute Fermi Gases

2000-04-20

arxiv.org/abs/cond-mat/0004360v1

Phys.Rev.Lett. 85 (2000) 2418-2421

Physics

Condensed Matter

4 pages, 3 figures

Scientific paper

10.1103/PhysRevLett.85.2418

We calculate the effects of induced interactions on the transition temperature to the BCS state in dilute Fermi gases. For a pure Fermi system with 2 species having equal densities, the transition temperature is suppressed by a factor $(4e)^{1/3}\approx 2.2$, and for $\nu$ fermion species, the transition temperature is increased by a factor $(4e)^{\nu /3-1} \approx 2.2^{\nu-3}$. For mixtures of fermions and bosons the exchange of boson density fluctuations gives rise to an effective interaction, and we estimate the increase of the transition temperature due to this effect.

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