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Emergence of Fractional Statistics for Tracer Particles in a Laughlin Liquid
KTH, School of Engineering Sciences (SCI), Mathematics (Dept.), Mathematics (Div.).ORCID iD: 0000-0003-3456-5846
LPMMC (UMR 5493), Université Grenoble-Alpes and CNRS.
2016 (English)In: Physical Review Letters, ISSN 0031-9007, E-ISSN 1079-7114, Vol. 116, no 17, article id 170401Article in journal, Letter (Refereed) Published
Resource type
Text
Abstract [en]

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.

Place, publisher, year, edition, pages
American Physical Society , 2016. Vol. 116, no 17, article id 170401
Keywords [en]
anyons, fractional statistics, fractional quantum Hall effect, Laughlin quasiparticles, emergent statistics, magnetic interaction
National Category
Condensed Matter Physics
Research subject
Physics; Mathematics
Identifiers
URN: urn:nbn:se:kth:diva-186069DOI: 10.1103/PhysRevLett.116.170401ISI: 000374964400001Scopus ID: 2-s2.0-84964768878OAI: oai:DiVA.org:kth-186069DiVA, id: diva2:925143
Projects
VR 2013-4734: Spectral theory of quantum systems with exotic symmetries
Funder
Swedish Research Council, 2013-4734
Note

QC 20160503

Available from: 2016-04-29 Created: 2016-04-29 Last updated: 2017-11-30Bibliographically approved

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Publisher's full textScopushttp://link.aps.org/doi/10.1103/PhysRevLett.116.170401

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Lundholm, Douglas

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