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Semiclassical Theory of Chaotic Conductors (2005)

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.. Comment: 5 pages, 1 figure

Publication details
Download http://arxiv.org/abs/cond-mat/0509598
Repository arXiv (United States)
Keywords Condensed Matter - Mesoscale and Nanoscale Physics, Nonlinear Sciences - Chaotic Dynamics
Type text