Few-anyon systems in a parabolic dot
Mesoscale and Nanoscale Physics
2009-10-30 v1
Abstract
The energy levels of two and three anyons in a two-dimensional parabolic quantum dot and a perpendicular magnetic field are computed as power series in 1/|J|, where J is the angular momentum. The particles interact repulsively through a coulombic (1/r) potential. In the two-anyon problem, the reached accuracy is better than one part in 10^5. For three anyons, we study the combined effects of anyon statistics and coulomb repulsion in the ``linear'' anyonic states.
Cite
@article{arxiv.cond-mat/9712084,
title = {Few-anyon systems in a parabolic dot},
author = {Ricardo Perez and Augusto Gonzalez},
journal= {arXiv preprint arXiv:cond-mat/9712084},
year = {2009}
}
Comments
LaTeX, 6 pages, 4 postscript figures