Physics – Condensed Matter – Superconductivity
Scientific paper
2008-01-21
Phys.Rev.A78:033613,2008
Physics
Condensed Matter
Superconductivity
V3: extended version according to referee's comment. 12 pages, 6 figures. Analytical results of density profile in trapped sys
Scientific paper
10.1103/PhysRevA.78.033613
The superfluid phase diagrams of a two-dimensional cold polarized Fermi gas in the BCS-BEC crossover are systematically and analytically investigated. In the BCS-Leggett mean field theory, the transition from unpolarized superfluid phase to normal phase is always of first order. For a homogeneous system, the two critical Zeeman fields and the critical population imbalance are analytically determined in the whole coupling parameter region, and the superfluid-normal mixed phase is shown to be the ground state between the two critical fields. The density profile in the presence of a harmonic trap calculated in the local density approximation exhibits a shell structure, a superfluid core at the center and a normal shell outside. For weak interaction, the normal shell contains a partially polarized cloud with constant density difference surrounded by a fully polarized state. For strong interaction, the normal shell is totally in fully polarized state with a density profile depending only on the global population imbalance. The di-fermion bound states can survive in the whole highly imbalanced normal phase.
He Lianyi
Zhuang Peng-fei
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