Dynamic of excitations of the Fractional quantum Hall effect : fractional charge and fractional Josephson frequency

Abstract : In some quantum matter states, the current may remarkably be transported by carriers that bear a fraction e* of the elementary electron charge. This is the case for the Fractional quantum Hall effect (FQHE) that happens in two-dimensional systems at low temperature under a high perpendicular magnetic field. When the number of magnetic flux in units of h/e is a fraction of the number of electron, a dissipationless current flows along the edges of the sample and is carried by anyons with fractional charge. The observation of the fractional charge is realized through small current fluctuations produced by the granularity of the charge. Here is presented a reliable method to measure the fractional charge by the mean of cross-correlation of current fluctuations. Moreover, the dynamical properties of those charges is probed when the sample is irradiated with photos at GHz frequency. The long predicted Josephson frequency of the fractional charge is measured. Those measurements validate Photoassisted processes in the FQHE and enable timedomain manipulation of fractional charges in order to realize a single anyon source based on levitons to perform tests of the anyonic statistics of fractional charge.
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Maëlle Kapfer. Dynamic of excitations of the Fractional quantum Hall effect : fractional charge and fractional Josephson frequency. Mesoscopic Systems and Quantum Hall Effect [cond-mat.mes-hall]. Université Paris-Saclay, 2018. English. ⟨NNT : 2018SACLS393⟩. ⟨tel-01978045⟩

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