A two-dimensional interacting system obeying Fractional Exclusion Statistics
Abstract
We consider N fermions in a two-dimensional harmonic oscillator potential interacting with a very short-range repulsive pair-wise potential. The ground-state energy of this system is obtained by performing a Thomas-Fermi as well as a self-consistent Hartree-Fock calculation. The two results are shown to agree even for a small number of particles. We next use the finite temperature Thomas-Fermi method to demonstrate that in the local density approximation, these interacting fermions are equivalent to a system of noninteracting particles obeying the Haldane-Wu fractional exclusion statistics. It is also shown that mapping onto to a system of N noninteracting quasi-particles enables us to predict the energies of the excited states of the N-body system.
Cite
@article{arxiv.cond-mat/9902158,
title = {A two-dimensional interacting system obeying Fractional Exclusion Statistics},
author = {M. K. Srivastava and R. K. Bhaduri and J. Law and M. V. N. Murthy},
journal= {arXiv preprint arXiv:cond-mat/9902158},
year = {2007}
}
Comments
Latex(Revtex) + 2 postscript figures