Semiclassical Approach to Chaotic Quantum Transport
arXiv:cond-mat/0610560 · doi:10.1088/1367-2630/9/1/012
Abstract
We describe a semiclassical method to calculate universal transport properties of chaotic cavities. While the energy-averaged conductance turns out governed by pairs of entrance-to-exit trajectories, the conductance variance, shot noise and other related quantities require trajectory quadruplets; simple diagrammatic rules allow to find the contributions of these pairs and quadruplets. Both pure symmetry classes and the crossover due to an external magnetic field are considered.
33 pages, 11 figures (appendices B-D not included in journal version)
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Cited by in corpus (7)
- Periodic-orbit theory of universal level correlations in quantum chaos
- Systematic approach to statistics of conductance and shot-noise in chaotic cavities
- Nonlinear statistics of quantum transport in chaotic cavities
- Suppression of weak-localization (and enhancement of noise) by tunnelling in semiclassical chaotic transport
- Many-Body Physics and Quantum Chaos
- Integrable theory of quantum transport in chaotic cavities
- Full counting statistics of chaotic cavities from classical action correlations