The Multimode Conductance Formula for a Closed Ring

Physics – Condensed Matter – Mesoscale and Nanoscale Physics

Scientific paper

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18 pages, 2 figures, Sections 1 and 6 extended, to be published in Journal of physics A

Scientific paper

10.1088/0305-4470/38/44/007

The multimode conductance of a {\em closed} ring is found within the framework of a scattering approach. The expression can be regarded as a generalization of the Landauer formula. The treatment is essentially {\em classical} because we assume short coherence time. Our starting point is the Kubo formalism, but we also use a master equation approach for the derivation. As an example we calculate the conductance of a multimode waveguide with an attached cavity.

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