Full counting statistics of chaotic cavities with many open channels
arXiv:cond-mat/0701141 · doi:10.1103/PhysRevB.75.073304
Abstract
Explicit formulas are obtained for all moments and for all cumulants of the electric current through a quantum chaotic cavity attached to two ideal leads, thus providing the full counting statistics for this type of system. The approach is based on random matrix theory, and is valid in the limit when both leads have many open channels. For an arbitrary number of open channels we present the third cumulant and an example of non-linear statistics.
4 pages, no figures; v2-added references; typos corrected
References in corpus (7)
- Semiclassical Theory of Chaotic Conductors
- Quantum-to-classical correspondence in open chaotic systems
- Noiseless scattering states in a chaotic cavity
- Ehrenfest-time dependence of weak localization in open quantum dots
- Shot noise from action correlations
- Classical limit of transport in quantum kicked maps
- Full counting statistics of a chaotic cavity with asymmetric leads
Cited by in corpus (9)
- Distributions of Conductance and Shot Noise and Associated Phase Transitions
- Systematic approach to statistics of conductance and shot-noise in chaotic cavities
- Nonlinear statistics of quantum transport in chaotic cavities
- Statistics of quantum transport in chaotic cavities with broken time-reversal symmetry
- Full counting statistics of chaotic cavities from classical action correlations
- Efficient semiclassical approach for time delays
- Conductance Distributions in Chaotic Mesoscopic Cavities
- Joint statistics of quantum transport in chaotic cavities
- Largest Schmidt eigenvalue of entangled random pure states and conductance distribution in chaotic cavities