Few-anyon systems in a parabolic dot

Details Few-anyon systems in a parabolic dot Few-anyon systems in a parabolic dot

1997-12-06

arxiv.org/abs/cond-mat/9712084v1

Phys. Rev. B 58 (1998) 7412-19

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

LaTeX, 6 pages, 4 postscript figures

Scientific paper

10.1103/PhysRevB.58.7412

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.

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