English

BCS-BEC crossover in an asymmetric two-component Fermi gas

Statistical Mechanics 2007-05-23 v2 Superconductivity

Abstract

We discuss the superfluid phase transition of a strongly interacting Fermi gas with unequal (asymmetric) chemical potentials in two pairing hyperfine states, and map out its phase diagram near the BCS-BEC crossover. Our approach includes the fluctuation contributions of {}``preformed Cooper pairs'' to the thermodynamic potential at finite temperature. We show that, below a critical difference in chemical potentials between species, a normal gas is unstable towards the formation of either a finite-momentum paired Fulde-Ferrell-Larkin-Ovchinnikov superconducting phase or a uniform superfluid, depending on the asymmetry and interaction strengths. We determine the value of critical chemical potential mismatch, and find good qualitative agreement with a recent measurement by Zwierlein \textit{et al.} {[}Science \textbf{311}, 492 (2006){]}.

Keywords

Cite

@article{arxiv.cond-mat/0603011,
  title  = {BCS-BEC crossover in an asymmetric two-component Fermi gas},
  author = {Xia-Ji Liu and Hui Hu},
  journal= {arXiv preprint arXiv:cond-mat/0603011},
  year   = {2007}
}

Comments

7 pages + 3 figures; To appear in Europhysics Letters

R2 v1 2026-07-22T11:29:13.730Z