Effect of Dephasing on Charge-Counting Statistics in Chaotic Cavities
arXiv:cond-mat/9910331 · doi:10.1016/S1386-9477(01)00160-6
Abstract
We calculate the cumulants of the charge transmitted through a chaotic cavity in the limit that the two openings have a large number of scattering channels. The shot noise, which is the second cumulant, is known to be insensitive to dephasing in this limit. Unexpectedly, the fourth and higher cumulants are found to depend on dephasing: A semiclassical theory and a quantum mechanical model with strong dephasing give a different result than a fully phase-coherent quantum mechanical theory.
arXiv comment7 pages, 2 figures, to appear in Physica E (special issue on Dynamics of Complex Systems)
References in corpus (10)
- Shot Noise in Mesoscopic Conductors
- Random-Matrix Theory of Quantum Transport
- Electron Counting Statistics and Coherent States of Electric Current
- Mesoscopic Transport Through Ballistic Cavities: A Random S-Matrix Theory Approach
- Universal Quantum Signatures of Chaos in Ballistic Transport
- Universal Statistics of Transport in Disordered Conductors
- Semiclassical theory of shot noise in mesoscopic conductors
- Semi-classical Theory of Conductance and Noise in Open Chaotic Cavities
- Distribution of transmitted charge through a double-barrier junction
- Quantum-Statistical Current Correlations in Multi-Lead Chaotic Cavities
Cited by in corpus (26)
- Full Counting Statistics of Charge Transfer in Coulomb Blockade Systems
- Stochastic Path Integral Formulation of Full Counting Statistics
- Fluctuation Statistics in Networks: a Stochastic Path Integral Approach
- Circuit Theory for Full Counting Statistics in Multi-Terminal Circuits
- Cascade Boltzmann - Langevin approach to higher-order current correlations in diffusive metal contacts
- Probability distributions of Linear Statistics in Chaotic Cavities and associated phase transitions
- Systematic approach to statistics of conductance and shot-noise in chaotic cavities
- Voltage and dephasing probes: a full counting statistics discussion
- Nonlinear statistics of quantum transport in chaotic cavities
- Moments of the transmission eigenvalues, proper delay times and random matrix theory I
- Statistics of quantum transport in chaotic cavities with broken time-reversal symmetry
- Moments of the transmission eigenvalues, proper delay times and random matrix theory II
- Semiclassical theory of current correlations in chaotic dot-superconductor systems
- Frequency Scales for Current Statistics of Mesoscopic Conductors
- Full counting statistics of chaotic cavities from classical action correlations
- Cascade approach to current fluctuations in a chaotic cavity
- Full counting statistics of chaotic cavities with many open channels
- Electron-electron scattering effects on the Full Counting Statistics of Mesoscopic Conductors
- Shot noise of photon-excited electron-hole pairs in open quantum dots
- Quantum-to-Classical Crossover in Full Counting Statistics
- Effect of dephasing on the current statistics of mesoscopic devices
- Statistics of Transmission Eigenvalues in Two-Dimensional Quantum Cavities: Ballistic versus Stochastic Scattering
- Full counting statistics of a chaotic cavity with asymmetric leads
- Measurement of high order current correlators
- Full Counting Statistics in Quantum Contacts
- Weak localization correction to the density of transmission eigenvalues in the presence of magnetic field and spin-orbit coupling for a chaotic quantum dot