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Signatures of Fractional Exclusion Statistics in the Spectroscopy of Quantum Hall Droplets

Nigel R. Cooper and Steven H. Simon
Phys. Rev. Lett. 114, 106802 – Published 9 March 2015

Abstract

We show how spectroscopic experiments on a small Laughlin droplet of rotating bosons can directly demonstrate Haldane fractional exclusion statistics of quasihole excitations. The characteristic signatures appear in the single-particle excitation spectrum. We show that the transitions are governed by a “many-body selection rule” which allows one to relate the number of allowed transitions to the number of quasihole states on a finite geometry. We illustrate the theory with numerically exact simulations of small numbers of particles.

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  • Received 15 November 2014

DOI:https://doi.org/10.1103/PhysRevLett.114.106802

© 2015 American Physical Society

Authors & Affiliations

Nigel R. Cooper

  • Theory of Condensed Matter Group, Cavendish Laboratory, University of Cambridge, J.J. Thomson Avenue, Cambridge CB3 0HE, United Kingdom

Steven H. Simon

  • Rudolf Peierls Centre for Theoretical Physics, University of Oxford, 1 Keble Road, Oxford OX1 3NP, United Kingdom

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Vol. 114, Iss. 10 — 13 March 2015

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