Quantum Hall effect of ideal anyons

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Abstract
We study the problem of anyons with statistics ν in a strong magnetic field by means of a similarity transformation. The ground state of this problem exhibits an ‘‘integer’’ quantum Hall effect at filling factor 1/ν with quasiparticle excitations of charge q/ν and statistics -1/ν. Certain electron fractional quantum Hall states can be considered as a realization of this, for example, the 2/5, 3/7,. . . hierarchy of the 1/3 state. This may explain the observed quasiparticle-quasihole asymmetry in the fractional quantum hall hierarchy.