Emergence of Fractional Statistics for Tracer Particles in a Laughlin Liquid

Douglas Lundholm and Nicolas Rougerie
Phys. Rev. Lett. 116, 170401 – Published 27 April 2016
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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.

  • Received 26 January 2016

DOI:https://doi.org/10.1103/PhysRevLett.116.170401

© 2016 American Physical Society

Physics Subject Headings (PhySH)

Condensed Matter, Materials & Applied PhysicsStatistical Physics & Thermodynamics

Authors & Affiliations

Douglas Lundholm1,* and Nicolas Rougerie2,†

  • 1Department of Mathematics, KTH Royal Institute of Technology, SE-100 44 Stockholm, Sweden
  • 2LPMMC (UMR 5493), Université Grenoble-Alpes and CNRS, B.P. 166, F-38 042 Grenoble, France

  • *dogge@math.kth.se
  • nicolas.rougerie@lpmmc.cnrs.fr

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Issue

Vol. 116, Iss. 17 — 29 April 2016

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