Skip to main content
SpringerLink
Log in

Andreev scattering and cotunneling between two superconductor-normal metal interfaces: the dirty limit

  • Published:
The European Physical Journal B - Condensed Matter and Complex Systems Aims and scope Submit manuscript

Abstract.

Crossed Andreev reflections and cotunneling occur between two neighbouring superconductor- normal metal or superconducting-ferromagnet interfaces. Previous works assumed a clean BCS superconductor. Here the calculation of the corresponding crossed conductance terms is generalized to a dirty superconductor. The range of the effect is shown to be the coherence length \(\tilde{\xi} = \sqrt{\hbar D/\Delta}\), instead of the BCS coherence length \(\xi_0\). Moreover, in three dimensions, the algebraic prefactor scales as 1/r instead of 1/r 2. The calculation involves the virtual diffusion probability of quasiparticles below the superconducting gap, in the normal and the anomalous channel.

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

  1. For a short review and references, see I. Zutić, J. Supercond. 15, 5 (2002)

    Google Scholar 

  2. J.M. Byers, M.E. Flatté, Phys. Rev. Lett. 74, 306 (1995)

    Article  Google Scholar 

  3. F.J. Jedema, B.J. van Wees, B.H. Hoving, A.T. Filip, T.M. Klapwijk, Phys. Rev. B 60, 16549 (1999)

    Article  Google Scholar 

  4. G. Deutscher, D. Feinberg, Appl. Phys. Lett. 76, 487 (2000)

    Article  Google Scholar 

  5. G. Falci, D. Feinberg, F.W.J. Hekking, Europhys. Lett. 54, 255 (2001)

    Article  Google Scholar 

  6. R. Mélin, J. Phys.: Condens. Matter 13, 6445 (2001)

    Article  Google Scholar 

  7. V. Apinyan, R. Mélin, Eur. Phys. J. B. 25, 373 (2002)

    Article  Google Scholar 

  8. R. Mélin, D. Feinberg, Eur. Phys. J. B. 26, 101 (2002)

    Article  Google Scholar 

  9. D. Feinberg, G. Deutscher, Physica E 15, 88 (2002)

    Article  Google Scholar 

  10. C.J. Lambert, J. Phys.: Condens. Matter 3, 6579 (1991)

    Article  Google Scholar 

  11. D.V. Averin, Yu.V. Nazarov, in Single Charge Tunneling, edited by H. Grabert, M.H. Devoret (Plenum Press, New York, 1992), Chap. 6

  12. J. Torrés, T. Martin, Eur. Phys. J. B 12, 319 (1999)

    Article  Google Scholar 

  13. P. Samuelsson, M. Büttiker, Phys. Rev. Lett. 89, 046601 (2002)

    Article  Google Scholar 

  14. G. Bignon, M. Houzet, F. Pistolesi, F.W.J. Hekking, unpublished (arXiv cond-mat/0310349)

  15. M.S. Choi, C. Bruder, D. Loss, Phys. Rev. B 62, 13569 (2000)

    Article  Google Scholar 

  16. G.B. Lesovik, T. Martin, G. Blatter, Eur. Phys. J. B 24, 287 (2001)

    Article  Google Scholar 

  17. P. Recher, D. Loss, Phys. Rev. B 65, 165327 (2002)

    Article  Google Scholar 

  18. V. Bouchiat, N. Chtchelkatchev, D. Feinberg, G. Lesovik, T. Martin, J. Torres, Nanotechnology 14, 77 (2003)

    Article  Google Scholar 

  19. J.C. Cuevas, A. Martin-Rodero, A. Levy-Yeyati, Phys. Rev. 54, 7366 (1996)

    Article  Google Scholar 

  20. F.W.J. Hekking, Yu.V. Nazarov, Phys. Rev. B 49, 6847 (1994)

    Article  Google Scholar 

  21. E. Akkermans, G. Montambaux, to be published (Chap. 1) (2004)

  22. A.A. Abrikosov, L.P. Gorkov, I.E. Dzyaloshinskii, methods of Quantum Field Theory in Statistical Physics (Dover, New York, 1975), p. 337

  23. N.M. Chtchelkatchev, I.S. Burmistrov, Phys. Rev. B68, 140501 (2003)

Download references

Author information

Authors and Affiliations

  1. Laboratoire d’Études des Propriétés Électroniques des Solides, Centre National de la Recherche Scientifique, BP 166, 38042, Grenoble Cedex 9, France

    D. Feinberg

Authors
  1. D. Feinberg
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to D. Feinberg.

Additional information

Received: 10 October 2003, Published online: 23 December 2003

PACS:

74.45. + c Proximity effects; Andreev effect; SN and SNS junctions - 73.63.Rt Nanoscale contacts - 74.78.-w Superconducting films and low-dimensional structures

Rights and permissions

Reprints and permissions

About this article

Cite this article

Feinberg, D. Andreev scattering and cotunneling between two superconductor-normal metal interfaces: the dirty limit. Eur. Phys. J. B 36, 419–422 (2003). https://doi.org/10.1140/epjb/e2003-00361-6

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1140/epjb/e2003-00361-6

Keywords

Search

Navigation