Confined Harmonically Interacting Spin-Polarized Fermions in a Magnetic Field: Thermodynamics
Abstract
We investigate the combined influence of a magnetic field and a harmonic interparticle interaction on the thermodynamic properties of a finite number of spin polarized fermions in a confiment potential. This study is an extension using our path integral approach of symmetrized density matrices for identical particles. The thermodynamical properties are calculated for a three dimensional model of N harmonically interacting spin polarized fermions in a parabolic potential well in the presence of a magnetic field. The free energy and the internal energy are obtained for a limited number of particles. Deviations from the thermodynamical limit become negligible for about 100 or more particles, but even for a smaller number of fermions present in the well, scaling relations similar to those of the continuum approximation to the density of states are already satisfied.
Cite
@article{arxiv.cond-mat/9901066,
title = {Confined Harmonically Interacting Spin-Polarized Fermions in a Magnetic Field: Thermodynamics},
author = {S. Foulon and F. Brosens and J. T. Devreese and L. F. Lemmens},
journal= {arXiv preprint arXiv:cond-mat/9901066},
year = {2009}
}
Comments
7 pages REVTEX and 8 postscript figures, accepted in Phys. Rev. E