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Few-anyon systems in a parabolic dot

Ricardo Perez·Augusto Gonzalez
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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.

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Ricardo Perez, Augusto Gonzalez. 1997-12-06. Few-anyon systems in a parabolic dot. https://doi.org/10.1103/physrevb.58.7412

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