Full counting statistics of Kondo-type tunneling in a quantum dot: the fluctuation effect of Slave-Boson field
arXiv:1111.6231 · doi:10.1103/PhysRevB.84.235408
Abstract
We study the full counting statistics (FCS) of electron tunneling through a multi-terminal quantum dot in the Kondo regime within the slave-boson mean field theory. By employing the A.O. Gogolin and A. Komnik's method of calculating the FCS generating function based on the nonequilibrium Green's function [Phys. Rev. B {\bf 73}, 195301 (2006)], we obtain the counting field -dependent self-consistent equations for the mean values of the slave-boson fields and the explicit expression for the derivative of the adiabatic potential of the system with respect to the counting fields. Performing perturbative expansion to the first order of , we find an extra contribution to the shot noise due to the bias-induced Bose field fluctuation, and then confirm that the nonequilibrium particle number fluctuation plays an important role in the current noise of the Kondo dot: enhancement of the current auto-correlation and a positive current cross-correlation.
11 pages, 3 figures, to be published
References in corpus (34)
- Universal oscillations in counting statistics
- Counting Statistics of Non-Markovian Quantum Stochastic Processes
- Full counting statistics of super-Poissonian shot noise in multi-level quantum dots
- Full Counting Statistics in Strongly Interacting Systems: Non-Markovian Effects
- Nonequilibrium Singlet-Triplet Kondo Effect in Carbon Nanotubes
- Universal Scaling in Non-equilibrium Transport Through a Single-Channel Kondo Dot
- Counting statistics of transport through Coulomb blockade nanostructures: High-order cumulants and non-Markovian effects
- Electron counting in quantum dots
- Full counting statistics of nano-electromechanical systems
- Tunable Noise Cross-Correlations in a Double Quantum Dot
- Conditional statistics of electron transport in interacting nanoscale conductors
- Electron-phonon interaction and full counting statistics in molecular junctions
- Two-electron bunching in transport through a QD induced by Kondo correlations
- Charge transfer statistics of a molecular quantum dot with a vibrational degree of freedom
- Evolution of the Kondo Effect in a Quantum Dot Probed by the Shot Noise
- Counting statistics of coherent population trapping in quantum dots
- Bimodal Counting Statistics in Single Electron Tunneling through a Quantum Dot
- Full counting statistics for the Kondo dot in the unitary limit
- Detection of non-Gaussian Fluctuations in a Quantum Point Contact
- Charge transfer statistics of a molecular quantum dot with strong electron-phonon interaction
- Statistics of quantum transport in chaotic cavities with broken time-reversal symmetry
- Non-Markovian effects in the Quantum noise of interacting nanostructures
- Full counting statistics of transport through two-channel Coulomb blockade systems
- Interference effects in the counting statistics of electron transfers through a double quantum dot
- Electronic Hong-Ou-Mandel interferometer for multi-mode entanglement detection
- Full counting statistics for the Kondo dot
- Tunable dynamical channel blockade in double-dot Aharonov-Bohm interferometers
- High-order cumulants in the counting statistics of asymmetric quantum dots
- Full counting statistics of chaotic cavities with many open channels
- Detection of finite frequency current moments with a dissipative resonant circuit
- Full counting statistics for transport through a molecular quantum dot magnet
- Full counting statistics of spin transfer through the Kondo dot
- Full counting statistics of spin transfer through ultrasmall quantum dots
- Characterizing electron entanglement in multiterminal mesoscopic conductors