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Fano resonances in stubbed quantum waveguides with impurities

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  • G. Cattapan
  • P. Lotti

Abstract

We consider T–shaped, two–dimensional quantum waveguides containing attractive or repulsive impurities with a smooth, realistic shape, and study how the resonance behavior of the total conductance depends upon the strength of the defect potential and the geometry of the device. The resonance parameters are determined locating the relevant S–matrix poles in the Riemann energy surface. The total scattering operator is obtained from the S–matrices of the various constituent segments of the device through the $\bigstar$ –product composition rule. This allows for a numerically stable evaluation of the scattering matrix and of the resonance parameters. Copyright EDP Sciences/Società Italiana di Fisica/Springer-Verlag 2007

Suggested Citation

  • G. Cattapan & P. Lotti, 2007. "Fano resonances in stubbed quantum waveguides with impurities," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 60(1), pages 51-60, November.
    • Handle: RePEc:spr:eurphb:v:60:y:2007:i:1:p:51-60
    DOI: 10.1140/epjb/e2007-00325-x
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    1. G. Cattapan & P. Lotti, 2007. "S-matrix poles close to thresholds in confined geometries," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 60(2), pages 181-185, November.
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