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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.

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Researchers observed the Josephson relation for anyons, fractional charge excitations in 2D electron systems. This finding validates photo-assisted shot noise models and opens doors for time-resolved anyon sources.

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Area of Science:

  • Condensed Matter Physics
  • Quantum Information Science

Background:

  • Anyons are quasiparticles with fractional charge found in 2D electron systems within topologically ordered states.
  • Observing anyon dynamics is crucial for understanding topological quantum phases and developing decoherence-free quantum information but remains experimentally challenging.

Purpose of the Study:

  • To experimentally validate the predicted Josephson relation for anyons with fractional charges e*/e = 1/3 and 1/5.
  • To demonstrate a method for observing anyon dynamics using photo-assisted shot noise (PASN).

Main Methods:

  • Utilized photo-assisted shot noise (PASN) measurements in two-dimensional electron systems exhibiting the fractional quantum Hall effect (FQHE).
  • Analyzed the dependence of PASN on voltage (V) under microwave irradiation at specific frequencies (fJ).

Main Results:

  • Observed clear signatures of the Josephson relation (fJ = e*V/h) for anyons with fractional charges e* = e/3 and e/5.
  • Validated existing theoretical models for FQHE PASN.

Conclusions:

  • The experimental validation of the Josephson relation provides direct evidence of anyon dynamics.
  • This work establishes a pathway towards creating time-resolved anyon sources utilizing levitons.