A twodimensional interacting system obeying Fractional Exclusion Statistics
Abstract
We consider N fermions in a twodimensional harmonic oscillator potential interacting with a very shortrange repulsive pairwise potential. The groundstate energy of this system is obtained by performing a ThomasFermi as well as a selfconsistent HartreeFock calculation. The two results are shown to agree even for a small number of particles. We next use the finite temperature ThomasFermi method to demonstrate that in the local density approximation, these interacting fermions are equivalent to a system of noninteracting particles obeying the HaldaneWu fractional exclusion statistics. It is also shown that mapping onto to a system of N noninteracting quasiparticles enables us to predict the energies of the excited states of the Nbody system.
 Publication:

arXiv eprints
 Pub Date:
 February 1999
 arXiv:
 arXiv:condmat/9902158
 Bibcode:
 1999cond.mat..2158S
 Keywords:

 Condensed Matter
 EPrint:
 Latex(Revtex) + 2 postscript figures