Pairing imbalance in the BCS-BEC crossover of an inhomogeneous three-component Fermi gas in two dimensions

Jiajia Du; Junjun Liang; J.-Q Liang

doi:10.1103/PhysRevA.85.033610

$We in this paper investigate the phase diagram associated with the Bardeen-Cooper-Schrieffer–Bose-Einstein-condensate (BCS-BEC) crossover of a three-component ultracold superfluid Fermi gas of different chemical potentials and equal masses in two dimensions. The gap-order parameter and number densities are found analytically by using the functional-path-integral method. The balance of pairing will be broken in the free space due to the unequal chemical potentials. We obtain the same particle-number density and condensed fraction in the BCS-superfluid phase as those in a recent paper ( Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.83.033630 83 , 033630 ( 2011 ) ) while the Sarma phase of the coexistence of normal and superfluid Fermi gases is characteristic of an inhomogeneous system. The minimum ratio of the BCS-superfluid phase becomes 1/3 in the BCS limit corresponding to the zero ratio in the two-component system in which the critical point of phase separation is ε B / ε F = 2 , but it becomes 3 in the three-component case.$

Pairing imbalance in the BCS-BEC crossover of an inhomogeneous three-component Fermi gas in two dimensions

Du, Jiajia; Liang, Junjun; Liang, J.-Q

Follow Physical Review A , Volume 85 (3) American Physical Society (APS) – Mar 1, 2012