Full counting statistics of chaotic cavities from classical action correlations
arXiv:cond-mat/0703803 · doi:10.1088/1751-8113/41/36/365102
Abstract
We present a trajectory-based semiclassical calculation of the full counting statistics of quantum transport through chaotic cavities, in the regime of many open channels. Our method to obtain the th moment of the density of transmission eigenvalues requires two correlated sets of classical trajectories, therefore generalizing previous works on conductance and shot noise. The semiclassical results agree, for all values of , with the corresponding predictions from random matrix theory.
12 pages, 6 figures; v2-added some references; v3-Substantial changes in presentation (results remain the same): we have removed all reference to quantum graphs, and now treat generic chaotic cavities; v4-Largely expanded, now has 5 sections and an appendix
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Cited by in corpus (26)
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- Probability distributions of Linear Statistics in Chaotic Cavities and associated phase transitions
- Moments of the transmission eigenvalues, proper delay times and random matrix theory I
- Moments of the transmission eigenvalues, proper delay times and random matrix theory II
- Universality in chaotic quantum transport: The concordance between random matrix and semiclassical theories
- Moments of the Wigner delay times
- Efficient semiclassical approach for time delays
- Semiclassical gaps in the density of states of chaotic Andreev billiards
- Transport moments beyond the leading order
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- Transport moments and Andreev billiards with tunnel barriers
- Controlling the Sign of Magnetoconductance in Andreev Quantum Dots
- Combinatorial theory of the semiclassical evaluation of transport moments II: Algorithmic approach for moment generating functions
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- Combinatorial problems in the semiclassical approach to quantum chaotic transport
- Semiclassical calculation of spectral correlation functions of chaotic systems
- Thermoelectric coefficients and the figure of merit for large open quantum dots