A Josephson relation for fractionally charged anyons.

ORAL

Abstract

Anyons (intermediate between bosons and fermions) occur in two-dimensional electron systems in high magnetic field as fractional excitations with charge e*=e/q in the topological ordered states of the Fractional Quantum Hall Effect (FQHE). Owing to their importance for topological quantum phases and possible decoherence free quantum information approaches, understanding anyons is of utmost importance. However, experiments probing their dynamics are lacking. Here we report on a dynamical property of anyons: the long predicted Josephson relation fJ=e*V/h for charge e*=e/3 and e/5. It manifests as marked signatures in the Photo Assisted Shot Noise (PASN) versus voltage V when irradiating contacts at microwaves frequency f=fJ. The validation of FQHE PASN models opens the way to realize time-resolved anyon sources based on levitons to perform time-domain anyon braiding.

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Presenters

  • Christian Glattli

    Service de Physique de l'Etat Condense, CEA Saclay

Authors

  • Maelle Kapfer

    Service de Physique de l'Etat Condense, CEA Saclay

  • Preden Roulleau

    Service de Physique de l'Etat Condense, CEA Saclay

  • Ian Farrer

    University of Sheffield, Department of Physics, University of Cambridge, Electronic and Electrical Engineering, University of Sheffield, Electrical Engineering, University of Sheffield, Department of Electronic and Electrical Engineering, University of Sheffield, Physics, Sheffield University

  • David A Ritchie

    University of Cambridge, Department of Physics, University of Cambridge, Semiconductor Physics, University of Cambridge, Physics, University of Cambridge, Department of Physics, Cavendish Laboratory, Physics, Cambridge University

  • Christian Glattli

    Service de Physique de l'Etat Condense, CEA Saclay