Finite frequency current fluctuations and the self-consistent perturbation theory for electron transport through quantum dot

Abstract

We have formulated the problem of electron transport through interacting quantum dot system in the framework of self-consistent perturbation theory, and show that the current conservation condition is guaranteed due to the gauge invariant properties of the Green's functions and the generalized Ward identity. By using a generating functional for the statistics of the nonequilibrium system, we have obtained general formulae for calculating the current and the current fluctuations in the presence of arbitrary time-dependent potentials. As demonstration of application, we have studied the interaction effects on the finite frequency noise for electron resonant tunneling through an Anderson impurity, and obtained an analytical equation for the interaction effect on the finite frequency current noise within the Hartree approximation, which is an extension of the previous results obtained by Hershfield on zero frequency shot noise.

9 pages, 3 figures

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Cited by in corpus (9)

• Finite-frequency noise in a quantum dot with normal and superconducting leads
• Emission Noise in an Interacting Quantum Dot: Role of Inelastic Scattering and Asymmetric Coupling to the Reservoirs
• Build-up of the Kondo effect from real-time 2PI effective action for the Anderson impurity model
• Effects of Coulomb interaction on photon-assisted current noises through a quantum dot
• Finite frequency current noise in the Holstein model
• Transient currents of a single molecular junction with a vibrational mode
• Phonon effects on the current noise spectra and the ac conductance of a single molecular junction
• Current noise of the interacting resonant level model
• On the competition between the Kondo effect and the exchange interaction in a parallel double quantum dot system