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arXiv · 1411.4168

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

Nigel R. Cooper·Steven H. Simon
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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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BibTeXRIS

Nigel R. Cooper, Steven H. Simon. 2014-11-15. Signatures of Fractional Exclusion Statistics in the Spectroscopy of Quantum Hall Droplets. https://doi.org/10.1103/physrevlett.114.106802

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