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Induced interaction in a Fermi gas with a BEC-BCS crossover

2009/05/07 by Zeng-Qiang Yu, Kun Huang, Lan Yin · 36 citations
Physics and Astronomy · #Atomic and Subatomic Physics Research #BCS theory #Cold Atom Physics and Bose-Einstein Condensates #Condensation #Condensed matter physics #Cooper pair #Crossover #Fermi Gamma-ray Space Telescope #Fermi gas #Pairing #Physics #Quantum mechanics #Quantum, superfluid, helium dynamics #Superconductivity #Superfluidity #Thermodynamics #Unitarity #cond-mat.quant-gas #cond-mat.supr-con

paper · pdf · doi:10.1103/physreva.79.053636

published in Physical Review A 79(5) (American Physical Society) · 11 pages, 3 figures, to be published in PRA

arxiv created 2009/05/07 · openalex publication_date 2009/05/22 · arxiv updated 2015/05/13 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

We study the effect of the induced interaction on the superfluid transition temperature of a Fermi gas with a Bose-Einstein condensation--Bardeen-Cooper-Schrieffer (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\`eres and Schmitt-Rink. At unitarity, the induced interaction reduces the transition temperature by about 20%. In the BCS limit, the transition temperature is reduced by a factor of 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.

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