Semiclassical Theory of Chaotic Conductors

Details Semiclassical Theory of Chaotic Conductors Semiclassical Theory of Chaotic Conductors

2005-09-23

arxiv.org/abs/cond-mat/0509598v1

Phys. Rev. Lett 96, 066804 (2006)

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

5 pages, 1 figure

Scientific paper

10.1103/PhysRevLett.96.066804

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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