Semiclassical theory of chaotic conductors |
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Authors: | Heusler Stefan Müller Sebastian Braun Petr Haake Fritz |
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Institution: | Fachbereich Physik, Universit?t Duisburg-Essen, 45117 Essen, Germany. |
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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. Our result explains why the energy-averaged conductance of individual chaotic cavities, with disorder or "clean," agrees with predictions of random-matrix theory. |
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