Coulomb-interaction effects in full counting statistics of a quantum-dot Aharonov-Bohm interferometer
arXiv:0805.3697 · doi:10.1103/PhysRevB.78.075318
Abstract
We study the effect of Coulomb interaction on the full counting statistics of an Aharonov-Bohm (AB) interferometer with a single-level quantum dot in one arm in the regime of weak dot-lead and lead-lead tunnel couplings. In the absence of Coulomb interaction, the interference processes are of nonresonant nature with an even AB flux dependence and obey bidirectional Poissonian statistics. For large charging energy, the statistic of these processes changes. In addition, processes of resonant nature with an odd flux dependence appear. In the limit of strongly asymmetric tunnel couplings from the dot to the left and right leads, their statistics is found to be strongly super-Poissonian.
8 pages, 3 figures
References in corpus (66)
- Electron Counting Statistics and Coherent States of Electric Current
- Observation of the e/3 Fractionally Charged Laughlin Quasiparticles
- Full Counting Statistics of Charge Transfer in Coulomb Blockade Systems
- Resonant tunneling through ultrasmall quantum dots: zero-bias anomalies, magnetic field dependence, and boson-assisted transport
- Kondo Correlations and the Fano Effect in Closed AB-Interferometers
- Environmental effects in the third moment of voltage fluctuations in a tunnel junction
- Zero-bias anomalies and boson-assisted tunneling through quantum dots
- Counting Statistics of Non-Markovian Quantum Stochastic Processes
- Electron shot noise beyond the second moment
- Full counting statistics of super-Poissonian shot noise in multi-level quantum dots
- Aharonov-Bohm oscillations in a mesoscopic ring with a quantum dot
- Stochastic Path Integral Formulation of Full Counting Statistics
- Measurement of Counting Statistics of Electron Transport in a Tunnel Junction
- Crossover from mesoscopic to universal phase for electron transmission in quantum dots
- Full counting statistics of a general quantum mechanical variable
- Full Counting Statistics in Strongly Interacting Systems: Non-Markovian Effects
- Full counting statistics of nano-electromechanical systems
- Aharonov-Bohm Interferometry with Interacting Quantum Dots: Spin Configurations, Asymmetric Interference Patterns, Bias-Voltage-Induced Aharonov-Bohm Oscillations, and Symmetries of Transport Coefficients
- Aharonov-Bohm oscillations and resonant tunneling in strongly correlated quantum dots
- Counting statistics and decoherence in coupled quantum dots
- Counting statistics and super-Poissonian noise in a quantum dot
- Observation of Andreev Reflection Enhanced Shot Noise
- Supercurrent noise in quantum point contacts
- Coherence and Partial Coherence in Interacting Electron Systems
- Full Current Statistics in Diffusive Normal-Superconductor Structures
- Fluctuation Statistics in Networks: a Stochastic Path Integral Approach
- Doubled Full Shot Noise in Quantum Coherent Superconductor - Semiconductor Junctions
- Charge Distribution in a Kondo Correlated Quantum Dot
- Circuit Theory for Full Counting Statistics in Multi-Terminal Circuits
- Josephson junctions as threshold detectors for full counting statistics
- Frequency-dependent counting statistics in interacting nanoscale conductors
- Measurements of higher order noise correlations in a quantum dot with a finite bandwidth detector
- Bimodal Counting Statistics in Single Electron Tunneling through a Quantum Dot
- Full Counting Statistics of a charge shuttle
- Full counting statistics for the Kondo dot in the unitary limit
- Cascade Boltzmann - Langevin approach to higher-order current correlations in diffusive metal contacts
- Full counting statistics of multiple Andreev reflections
- Poisson transition rates from time-domain measurements with finite bandwidth
- Electron Scattering Through a Quantum Dot: A Phase Lapse Mechanism
- Elementary events of electron transfer in a voltage-driven quantum point contact
- A Josephson junction as a detector of Poissonian charge injection
- Wide-band detection of the third moment of shot noise by a hysteretic Josephson junction
- Voltage and dephasing probes: a full counting statistics discussion
- Quantum mechanical complementarity probed in a closed-loop Aharonov-Bohm interferometer
- Observation of "Partial Coherence" in an Aharonov-Bohm Interferometer with a Quantum Dot
- Full Counting Statistics of Interacting Electrons
- Full counting statistics for voltage and dephasing probes
- Controlled dephasing of a quantum dot in the Kondo regime
- Measuring non-Gaussian fluctuations through incoherent Cooper pair current
- Aharonov-Bohm interferometry with quantum dots: scattering approach versus tunneling picture
- DC-transport in superconducting point contacts: a full counting statistics view
- Observation of shot-noise-induced asymmetry in the Coulomb blockaded Josephson junction
- Breakdown of `phase rigidity' and variations of the Fano effect in closed Aharonov-Bohm interferometers
- Charge and current fluctuations in a superconducting single electron transistor near a Cooper pair resonance
- Shot noise for resonant Cooper pair tunneling
- How to detect the fourth order cumulant of electrical noise
- Full counting statistics of multiple Andreev reflection
- Josephson junctions as detectors for non-Gaussian noise
- Controlled dephasing in single-dot Aharonov-Bohm interferometers
- Transmission Phase of an Isolated Coulomb-Blockade Resonance
- Effect of dephasing on the current statistics of mesoscopic devices
- Controlled Dephasing of a Quantum Dot: From Coherent to Sequential Tunneling
- Full counting statistics of spin transfer through the Kondo dot
- Charge Detection in a Closed-Loop Aharonov-Bohm Interferometer
- Nonequilibrium characteristics in all-superconducting tunnel structures
- Recent Advances in Studies of Current Noise
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- Tunable dynamical channel blockade in double-dot Aharonov-Bohm interferometers
- Spin-induced charge correlations in transport through interacting quantum dots with ferromagnetic leads
- Short-time counting statistics of charge transfer in Coulomb-blockade systems
- Electron bunching in triple quantum dot interferometers
- Interference and interaction effects in adiabatic pumping through quantum dots
- Spin-dependent transport through quantum-dot Aharonov-Bohm interferometers
- Interplay between interference and Coulomb interaction in the ferromagnetic Anderson model with applied magnetic field
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- Critical heat current fluctuations in Curie-Weiss model in and out of equilibrium
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