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Semiclassical Theory of Chaotic Conductors | | Stefan Heusler
; Sebastian Müller
; Petr Braun
; Fritz Haake
; | | Date: |
23 Sep 2005 | | Subject: | Mesoscopic Systems and Quantum Hall Effect; Chaotic Dynamics | cond-mat.mes-hall nlin.CD | | 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. | | Source: | arXiv, cond-mat/0509598 | | Services: | Forum | Review | PDF | Favorites | |
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