Shell Effects and Phase Separation in a Trapped Multi-Component Fermi System

Details Shell Effects and Phase Separation in a Trapped Multi-Component Fermi System Shell Effects and Phase Separation in a Trapped Multi-Component Fermi System

2000-11-02

arxiv.org/abs/cond-mat/0011049v1

Physics

Condensed Matter

Statistical Mechanics

to be published in the Proceedings of the VIII Meeting on Problems in Theoretical Nuclear Physics, Cortona, October 18-20, 200

Scientific paper

Shell effects in the coordinate space can be seen with degenerate Fermi vapors in non-uniform trapping potentials. In particular, below the Fermi temperature, the density profile of a Fermi gas in a confining harmonic potential is characterized by several local maxima. This effect is enhanced for "magic numbers" of particles and in quasi-1D (cigar-shaped) configurations. In the case of a multi-component Fermi vapor, the separation of Fermi components in different spatial shells (phase-separation) depends on temperature, number of particles and scattering length. We derive analytical formulas, based on bifurcation theory, for the critical density of Fermions and the critical chemical potential, which give rise to the phase-separation.

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