Skip to main content
SpringerLink
Log in

S-matrix poles close to thresholds in confined geometries

  • Mesoscopic and Nanoscale Systems
  • Published:
The European Physical Journal B Aims and scope Submit manuscript

Abstract.

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.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  • R.J. Eden, P.V. Landshoff, D.I. Olive, J.C. Polkinghorne, The Analytic S–Matrix (Cambridge University Press, Cambridge, 1966)

  • H.M. Nussenzveig, Causality and Dispersion Relations (Academic Press, New York, 1972)

  • R.G. Newton, Scattering Theory of Waves and Particles (Springer, New York, 1982)

  • N. Moiseyev, Phys. Rep. 302, 211 (1998)

    Article  ADS  Google Scholar 

  • R.J. Eden, J.R. Taylor, Phys. Rev. B 133, 1575 (1964)

    Article  MathSciNet  Google Scholar 

  • Y. Fujii, M. Fukugita, Nucl. Phys. B 85, 179 (1975)

    Article  ADS  Google Scholar 

  • R.E. Brown, N. Jarmie, G.M. Hale, Phys. Rev. C 35, 1999 (1987)

    Article  ADS  Google Scholar 

  • A. Herzenberg, D. Ton-That, J. Phys. B 8, 426 (1975)

    Article  ADS  Google Scholar 

  • R.M. Potvliege, R. Shakeshaft, Phys. Rev. A 38, 6190 (1988)

    Article  ADS  Google Scholar 

  • M. Dörr, R.M. Potvliege, Phys. Rev. A 41, 1472 (1990)

    Article  ADS  Google Scholar 

  • S. Datta, Electronic Transport in Mesoscopic Systems (Cambridge University Press, Cambridge, 1995)

  • D.K. Ferry, S.M. Goodnick, Transport in Nanostructures (Cambridge University Press, Cambridge, 1997)

  • G. Cattapan, P. Lotti, Eur. Phys. J. B 60, ??? (2007)

  • R. Büttiker, Y. Imry, R. Landauer, S. Pinhas, Phys. Rev. B 31, 6207 (1985)

    Article  ADS  Google Scholar 

  • R.K. Logan, H.W. Wild, Phys. Rev. 158, 1467 (1967)

    Article  ADS  Google Scholar 

  • A.M. Badalyan, L.P. Kok, M.I. Polikarpov, Yu.A. Simonov, Phys. Rep. 82, 31 (1982)

    Article  ADS  Google Scholar 

  • W.-D. Sheng, J.-B. Xia, J. Phys.: Condens. Matter 8, 3635 (1996)

    Article  ADS  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Dipartimento di Fisica “G. Galilei”, Università di Padova, Via F. Marzolo 8, 35131, Padova, Italy

    G. Cattapan & P. Lotti

  2. Istituto Nazionale di Fisica Nucleare, Sezione di Padova, Via F. Marzolo 8, 35131, Padova, Italy

    G. Cattapan & P. Lotti

Authors
  1. G. Cattapan
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. P. Lotti
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to G. Cattapan.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Cattapan, G., Lotti, P. S-matrix poles close to thresholds in confined geometries. Eur. Phys. J. B 60, 181–185 (2007). https://doi.org/10.1140/epjb/e2007-00337-6

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1140/epjb/e2007-00337-6

PACS.

Search

Navigation