Semiclassical Approach to Chaotic Quantum Transport

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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• Electronic transport in three-terminal chaotic systems with a tunnel barrier