Detection of finite frequency photo-assisted shot noise with a resonant circuit

Abstract

Photo-assisted transport through a mesoscopic conductor occurs when an oscillatory (AC) voltage is superposed to the constant (DC) bias which is imposed on this conductor. Of particular interest is the photo assisted shot noise, which has been investigated theoretically and experimentally for several types of samples. For DC biased conductors, a detection scheme for finite frequency noise using a dissipative resonant circuit, which is inductively coupled to the mesoscopic device, was developped recently. We argue that the detection of the finite frequency photo-assisted shot noise can be achieved with the same setup, despite the fact that time translational invariance is absent here. We show that a measure of the photo-assisted shot noise can be obtained through the charge correlator associated with the resonant circuit, where the latter is averaged over the AC drive frequency. We test our predictions for a point contact placed in the fractional quantum Hall effect regime, for the case of weak backscattering. The Keldysh elements of the photo-assisted noise correlator are computed. For simple Laughlin fractions, the measured photo-assisted shot noise displays peaks at the frequency corresponding to the DC bias voltage, as well as satellite peaks separated by the AC drive frequency.

References in corpus (7)

• Using a quantum dot as a high-frequency shot noise detector
• Experimental Test of the High-Frequency Quantum Shot Noise Theory in a Quantum Point Contact
• Dynamics of Quantum Noise in a Tunnel Junction under ac Excitation
• Measurements of higher order noise correlations in a quantum dot with a finite bandwidth detector
• Emission and absorption noise in the fractional quantum Hall effect
• Detection of finite frequency current moments with a dissipative resonant circuit
• Finite size effects, super-and sub-poissonian noise in a nanotube connected to leads

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• Finite frequency current fluctuations and the self-consistent perturbation theory for electron transport through quantum dot
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• Anyon braiding on the single edge of a fractional quantum Hall state
• Finite frequency noise spectroscopy for fractional Hall states at ν = 5/2
• Probing anyon statistics on a single-edge loop in the fractional quantum Hall regime
• Non-Gaussianity in a quasiclassical electronic circuit
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