Shell structure in the density profiles for noninteracting fermions in anisotropic harmonic confinement

Physics – Condensed Matter – Statistical Mechanics

Scientific paper

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4 pages, 4 figures

Scientific paper

10.1103/PhysRevA.67.053601

We develop a Green's function method to evaluate the exact equilibrium particle-density profiles of noninteracting Fermi gases in external harmonic confinement in any spatial dimension and for arbitrary trap anisotropy. While in a spherically symmetric configuration the shell effects are negligible in the case of large number of particles, we find that for very anisotropic traps the quantum effects due to single-level occupancy and the deviations from the Thomas-Fermi approximation are visible also for mesoscopic clouds.

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