Skip to main content

Projection of the Kondo Effect by Resonant Eigenstates Inside A Circular Quantum Corral

Proceedings of the ARW NATO Workshop Hvar, Croatia, October 2002

  • Chapter
Concepts in Electron Correlation

Part of the book series: NATO Science Series ((NAII,volume 110))

Abstract

We calculate the resonant eigenstates inside a circular quantum corral, modeling the confining potential by a continuous radial δ-function. In order to describe the corral with a magnetic impurity inside, we use the impurity Anderson model and second order perturbation theory in the Coulomb repulsion U. The effect of the impurity in the conduction electron density of states reveals a mirage of the Kondo resonance at a position different from that of the impurity.

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

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 169.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 219.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 219.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. M.F. Crommie, C.P. Lutz, and D.M. Eigler, Science 262, 218 (1993).

    Article  ADS  Google Scholar 

  2. H.C. Manoharan, C.P. Lutz, and D.M. Eigler, Nature (London) 403, 512 (2000).

    Article  ADS  Google Scholar 

  3. S.L. Hulbert, P.D. Johnson, N.G. Stoffel, W.A. Royer, and N.V. Smith, Phys. Rev. B 31, 6815 (1985).

    Article  ADS  Google Scholar 

  4. H.C. Manoharan, PASI Conference, Physics and Technology at the Nanometer Scale (Costa Rica, June 24–July 3, 2001).

    Google Scholar 

  5. D. Porras, J. Fernández-Rossier, and C. Tejedor, Phys. Rev. B 63, 155406 (2001).

    Article  ADS  Google Scholar 

  6. O. Agam and A. Schiller, Phys. Rev. Lett. 86, 484 (2001).

    Article  ADS  Google Scholar 

  7. G.A. Fiete, J. S. Hersch, E. J. Heller, H.C. Manoharan, C.P. Lutz, and D.M. Eigler, Phys. Rev. Lett. 86, 2392 (2001)..

    Article  ADS  Google Scholar 

  8. A.A. Aligia, Phys. Rev. B 64, 121102(R) (2001).

    ADS  Google Scholar 

  9. A.A. Aligia, Phys. Status Solidi (b) 230, 415 (2002).

    Article  ADS  Google Scholar 

  10. G. Chiappe and A.A. Aligia, Phys. Rev. B 66, 075421 (2002).

    Article  ADS  Google Scholar 

  11. K. Hallberg, A.A. Correa, and C.A. Balseiro, Phys. Rev. Lett. 88, 066802 (2002).

    Article  ADS  Google Scholar 

  12. A. Lobos and A.A. Aligia, cond-mat/0208533

    Google Scholar 

  13. G. García Calderón, Nucl. Phys. A 261, 130 (1976).

    Article  ADS  Google Scholar 

  14. See for example J.R. Taylor, Scattering Theory: the quantum theory of non-relativistic collisions (Wiley, New York, 1972).

    Google Scholar 

  15. A. Euceda, D.M. Bylander, and L. Kleinman, Phys. Rev. B 28, 528 (1983).

    Article  ADS  Google Scholar 

  16. B. Horvatić, D. Šokčević, and V. Zlatić, Phys. Rev. B 36, 675 (1987); references therein.

    Article  ADS  Google Scholar 

  17. M. Weissmann and A.M. Llois, Phys. Rev. B 63, 113402 (2001).

    Article  ADS  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2003 Springer Science+Business Media Dordrecht

About this chapter

Cite this chapter

Lobos, A., Aligia, A.A. (2003). Projection of the Kondo Effect by Resonant Eigenstates Inside A Circular Quantum Corral. In: Hewson, A.C., Zlatić, V. (eds) Concepts in Electron Correlation. NATO Science Series, vol 110. Springer, Dordrecht. https://doi.org/10.1007/978-94-010-0213-4_22

Download citation

  • DOI: https://doi.org/10.1007/978-94-010-0213-4_22

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-1-4020-1419-2

  • Online ISBN: 978-94-010-0213-4

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics