Superfluid density in the BCS-BEC crossover regime of a two-component Fermi gas at finite temperatures

We investigate the superfluid carrier density ρ _s in the BCS-BEC crossover regime of a superfluid Fermi gas at finite temperatures. Including pairing fluctuations within the gaussian fluctuation approximation, we determine the superfluid order parameter Δ, Fermi chemical potential μ, as well as ρ _s , in a consistent manner. In the weak-coupling regime, the normal fluid density ρ _n ρ-ρ _s is dominated by quasi-particle excitations associated with the dissociation of Cooper pairs. As one approaches the BCS-BEC crossover regime, effects of pairing fluctuations on ρ _n become strong. In the strong-coupling BEC regime, ρ _n is shown to be dominated by Bogoliubov phonon in a molecular Bose superfluid.