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Détection des corrélations de courant à haute fréquence à l'aide d'un circuit résonnant

Abstract : The conductance is the most natural quantity to characterize a quantum conductor. It is given by the Landaeur formula. Yet, noise contains more information than conductance. It measures the current fluctuations around average value. Moreover, the sign of the cross correlations is related to the statistics of carriers.

We consider the injection of a controlled charge from a normal metal into an edge state of the fractional quantum Hall effect, with a time-dependent voltage V(t). Using perturbative calculations in the tunneling limit, and a chiral Luttinger liquid model for the edge state, we show that the electronic correlations prevent the charge fluctuations to be divergent for a generic voltage pulse. We show that explicit formul{ae} for the mean injected charge and its fluctuations can be obtained using an adiabatic approximation, and that non perturbative results can be obtained for injection in an edge state of the FQHE with filling factor \nu=1/3. Generalization to other correlated systems which can be described with the Luttinger liquid model is given.

We consider the measurement of higher current moments with a dissipative resonant circuit, which is coupled inductively to a mesoscopic device in the coherent regime. Information about the higher current moments is coded in the histogramms of the charge on the capacitor plates of the resonant circuit. Dissipation is essential to include it in order for the charge fluctuations (or the measured noise) to remain finite. We identify which combination of current correlators enter the measurement of the third moment. The latter remains stable for zero damping. We thus propose a generalisation of this resonant LC circuit setup in order to probe directly noise cross-correlations. The measured cross-correlations then depend on four non-symmetrized correlators. Results are illustrated briefly for a quantum point contact.
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Contributor : Marjorie Creux <>
Submitted on : Tuesday, May 22, 2007 - 2:34:28 PM
Last modification on : Thursday, September 13, 2018 - 12:08:03 PM
Long-term archiving on: : Friday, September 21, 2012 - 3:51:05 PM


  • HAL Id : tel-00148425, version 1



Marjorie Creux. Détection des corrélations de courant à haute fréquence à l'aide d'un circuit résonnant. Physique [physics]. Université de la Méditerranée - Aix-Marseille II, 2007. Français. ⟨tel-00148425⟩



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