Shell structure in the density profiles for noninteracting fermions in anisotropic harmonic confinement
Statistical Mechanics
2009-11-07 v1
Abstract
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.
Cite
@article{arxiv.cond-mat/0211102,
title = {Shell structure in the density profiles for noninteracting fermions in anisotropic harmonic confinement},
author = {Patrizia Vignolo and Anna Minguzzi},
journal= {arXiv preprint arXiv:cond-mat/0211102},
year = {2009}
}
Comments
4 pages, 4 figures