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Semiclassical Approach to Chaotic Quantum Transport

Sebastian Müller, Stefan Heusler, Petr Braun, Fritz Haake

cond-mat.mes-hallarXiv:cond-mat/0610560

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.

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