Semiclassical theory of chaotic conductors

S Heusler, S Muller, P Braun, F Haake

Research output: Contribution to journalArticle (Academic Journal)peer-review

91 Citations (Scopus)


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.
Translated title of the contributionSemiclassical theory of chaotic conductors
Original languageEnglish
Pages (from-to)1 - 4
Number of pages4
JournalPhysical Review Letters
Volume96 (6)
Publication statusPublished - Feb 2006

Bibliographical note

Publisher: American Physical Soc


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