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Semiclassical Approach to Chaotic Quantum Transport

Sebastian Müller·Stefan Heusler·Petr Braun·Fritz Haake
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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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Sebastian Müller, Stefan Heusler, Petr Braun, Fritz Haake. 2006-10-20. Semiclassical Approach to Chaotic Quantum Transport. https://doi.org/10.1088/1367-2630%2F9%2F1%2F012

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