title: Emergence of Fractional Statistics for Tracer Particles in a Laughlin Liquid.
abstract: We consider a thought experiment where two distinct species of 2D particles in a perpendicular magnetic field interact via repulsive potentials. If the magnetic field and the interactions are strong enough, one type of particles forms a Laughlin state and the other type couples to Laughlin quasiholes. We show that, in this situation, the motion of the second type of particles is described by an effective Hamiltonian, corresponding to the magnetic gauge picture for noninteracting anyons. The argument is in accord with, but distinct from, the Berry phase calculation of Arovas, Schrieffer, and Wilczek. It suggests possibilities to observe the influence of effective anyon statistics in fractional quantum Hall systems.
authors.affiliation: Department of Mathematics, KTH Royal Institute of Technology, SE-100 44 Stockholm, Sweden.
authors.forename: Douglas
authors.initials: D
authors.lastname: Lundholm
authors.affiliation: LPMMC (UMR 5493), Université Grenoble-Alpes and CNRS, B.P. 166, F-38 042 Grenoble, France.
authors.forename: Nicolas
authors.initials: N
authors.lastname: Rougerie