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    Four anyons in a harmonic well

    M. Sporre, J. J. M. Verbaarschot, and I. Zahed

    • Department of Physics, State University of New York at Stony Brook, Stony Brook, New York 11794

    Phys. Rev. B 46, 5738 – Published 1 September, 1992

    DOI: https://doi.org/10.1103/PhysRevB.46.5738

    Abstract

    We construct numerically the spectrum of four anyons in a harmonic potential. As a function of the statistical flux, the anyon spectrum interpolates continuously between bosons and fermions. We show that its generic structure follows from semiclassical arguments. The relation of these results to the spectrum of four anyons in a constant magnetic field is also discussed.

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