Semiclassical theory of chaotic conductors

S Heusler, S Muller, P Braun, F Haake

Research output: Contribution to journalArticle (Academic Journal)

76 Citations (Scopus)

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

Bibliographical note

Publisher: American Physical Soc

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