Full counting statistics of a charge pump in the Coulomb blockade regime
arXiv:cond-mat/0104211 · doi:10.1103/PhysRevB.64.233316
Abstract
We study the full charge counting statistics of a charge pump based on a nearly open single electron transistor. The problem is mapped onto an exactly soluble problem of a g=1/2 non-equilibrium Luttinger liquid with an impurity. We obtain an analytic expression for the generating function of the transmitted charge for an arbitrary pumping strength. Even though this model contains fractionally charged excitations only integer transmitted charges can be observed during finite observation times.
arXiv comment4 pages, 1 figure
References in corpus (15)
- Electron Counting Statistics and Coherent States of Electric Current
- Observation of the e/3 Fractionally Charged Laughlin Quasiparticles
- Scattering approach to parametric pumping
- An Adiabatic Quantum Electron Pump
- Coulomb blockade at almost perfect transmission
- Mesoscopic mechanism of adiabatic charge transport
- Coherent States of Alternating Current,
- Adiabatic charge pumping in almost open dots
- Mesoscopic Fluctuations of Adiabatic Charge Pumping in Quantum Dots
- Theory of strong inelastic co-tunneling
- Mesoscopic charge quantization
- Counting Statistics of an Adiabatic Pump
- Coulomb blockade oscillations of conductance in the regime of strong tunneling
- Point contact tunneling in the fractional quantum Hall effect: an exact determination of the statistical fluctuations
- Proposal For A Quantum Hall Pump
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- Fractionalization and anyonic statistics in the integer quantum Hall collider
- Full counting statistics of Luttinger liquid conductor
- Current fluctuations of an interacting quantum dot
- Electron-electron scattering effects on the Full Counting Statistics of Mesoscopic Conductors
- Full counting statistics of chiral Luttinger liquids with impurities
- Full Counting Statistics of a Non-adiabatic Electron Pump
- Quantum chaotic scattering in time-dependent external fields: random matrix approach
- Full Counting Statistics of Non-Commuting Variables: the Case of Spin Counts
- Transport properties of a molecular quantum dot coupled to one-dimensional correlated electrons
- Nonlinear transport through a dynamic impurity in a strongly interacting one-dimensional electron gas
- Nonequilibrium noise and current fluctuations at the superconducting phase transition
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