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Updated: Jan 30, 2026

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Published on: May 2, 2019
A Josephson relation for fractionally charged anyons
M Kapfer1, P Roulleau1, M Santin1
1Service de Physique de l'Etat Condensé, IRAMIS/DSM (CNRS UMR 3680), CEA Saclay, F-91191 Gif-sur-Yvette, France.
Abstract:
Anyons occur in two-dimensional electron systems as excitations with fractional charge in the topologically ordered states of the fractional quantum Hall effect (FQHE). Their dynamics are of utmost importance for topological quantum phases and possible decoherence-free quantum information approaches, but observing these dynamics experimentally is challenging. Here, we report on a dynamical property of anyons: the long-predicted Josephson relation f J = e*V/h for charges e* = e/3 and e/5, where e is the charge of the electron and h is Planck's constant. The relation manifests itself as marked signatures in the dependence of photo-assisted shot noise (PASN) on voltage V when irradiating contacts at microwaves frequency f J The validation of FQHE PASN models indicates a path toward realizing time-resolved anyon sources based on levitons.
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