English

The induced interaction in a Fermi gas with a BEC-BCS crossover

Quantum Gases 2015-05-13 v1 Superconductivity

Abstract

We study the effect of the induced interaction on the superfluid transition temperature of a Fermi gas with a BEC-BCS crossover. The Gorkov-Melik-Barkhudarov theory about the induced interaction is extended from the BCS side to the entire crossover, and the pairing fluctuation is treated in the approach by Nozi\`{e}res and Schmitt-Rink. At unitarity, the induced interaction reduces the transition temperature by about twenty percent. In the BCS limit, the transition temperature is reduced by a factor about 2.22, as found by Gorkov and Melik-Barkhudarov. Our result shows that the effect of the induced interaction is important both on the BCS side and in the unitary region.

Keywords

Cite

@article{arxiv.0905.1023,
  title  = {The induced interaction in a Fermi gas with a BEC-BCS crossover},
  author = {Zeng-Qiang Yu and Kun Huang and Lan Yin},
  journal= {arXiv preprint arXiv:0905.1023},
  year   = {2015}
}

Comments

11 pages, 3 figures, to be published in PRA

R2 v1 2026-06-21T12:59:13.664Z