Finite frequency quantum noise in an interacting mesoscopic conductor

Abstract

We present a quantum calculation based on scattering theory of the frequency dependent noise of current in an interacting chaotic cavity. We include interactions of the electron system via long range Coulomb forces between the conductor and a gate with capacitance $C$. We obtain explicit results exhibiting the two time scales of the problem, the cavity's dwell time ${\tau }_D$ and the $RC$-time ${\tau }_C$ of the cavity {\em vis à vis} the gate. The noise shows peculiarities at frequencies of the order and exceeding the inverse charge relaxation time ${\tau }^{-1}={\tau }_D^{-1}+{\tau }_C^{-1}$.

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• Multiple quasiparticle Hall spectroscopy investigated with a resonant detector
• Noise Spectra of ac-driven quantum dots
• Two-particle scattering matrix of two interacting mesoscopic conductors
• Rectification and nonlinear transport in chaotic dots and rings
• Semiclassical approach to the ac-conductance of chaotic cavities
• Photon heat transport in low-dimensional nanostructures
• Quantum detectors for the third cumulant of current fluctuations
• Statistics of Transmission Eigenvalues in Two-Dimensional Quantum Cavities: Ballistic versus Stochastic Scattering
• Presence of asymmetric noise in multi-terminal chaotic cavities
• Frequency dispersion of photon-assisted shot noise in mesoscopic conductors
• Charge transport through weakly open one dimensional quantum wires
• Negativity of the excess noise in a quantum wire capacitively coupled to a gate
• Crossover of thermal to shot noise in chaotic cavities
• Full counting statistics of ultrafast quantum transport
• Admittance of planar two-terminal quantum systems
• Fundamental and Environmental Contributions to the Cyclostationary Third Moment of Current Fluctuations in a Tunnel Junction
• Mesoscopic electron transport and atomic gases, a review of Frank W. J. Hekking's scientific work