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Semiclassical Theory of Chaotic Conductors

Stefan Heusler·Sebastian Müller·Petr Braun·Fritz Haake
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Abstract

We calculate the Landauer conductance through chaotic ballistic devices in the semiclassical limit, to all orders in the inverse number of scattering channels without and with a magnetic field. Families of pairs of entrance-to-exit trajectories contribute, similarly to the pairs of periodic orbits making up the small-time expansion of the spectral form factor of chaotic dynamics. As a clue to the exact result we find that close self-encounters slightly hinder the escape of trajectories into leads.

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Stefan Heusler, Sebastian Müller, Petr Braun, Fritz Haake. 2005-09-23. Semiclassical Theory of Chaotic Conductors. https://doi.org/10.1103/physrevlett.96.066804

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