S-Matrix Poles Close to Thresholds in Confined Geometries

Details S-Matrix Poles Close to Thresholds in Confined Geometries S-Matrix Poles Close to Thresholds in Confined Geometries

2007-06-26

arxiv.org/abs/0706.3783v1

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

10 pages, 5 figures

Scientific paper

10.1140/epjb/e2007-00337-6

We have studied the behavior of the S-matrix poles near threshold for quantum waveguides coupled to a cavity with a defect. We emphasize the occurrence of both dominant and shadow poles on the various sheets of the energy Riemann surface, and show that the changes of the total conductivity near threshold as the cavity's width changes can be explained in terms of dominant to shadow pole transitions.

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