Quantum hall effect of ideal anyons

We study the problem of anyons with statistics 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/ with quasiparticle excitations of charge and statistics -1/. 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. © 1991 The American Physical Society.link_to_subscribed_fulltex