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Shot Noise of Mesoscopic NS Structures: The Role of Andreev Reflection

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Quantum Noise in Mesoscopic Physics

Part of the book series: NATO Science Series ((NAII,volume 97))

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Abstract

When a mesoscopic wire made of normal metal N is in contact with a superconducting reservoir S, Andreev reflection (AR) occurs [1]. This affects the electronic properties of the wire [2]. In this article we address both experimentally and theoretically the following question: how does Andreev reflection manifest itself in shot noise measurements, and what physics can we deduce from such measurements? Our discussion will rely on high frequency measurements performed on various NS structures, that can be found in refs. [35].

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References

  1. A.F. Andreev, Sov. Phys. JETP 19, 1228 (1964).

    Google Scholar 

  2. For a review, see D. Esteve et al. in Mesoscopic Electron Transport, edited by L.L. Sohn, L.P. Kouwenhoven and G. Schön (Kluwer, Dordrecht, 1997); B. Pannetier and H. Courtois, J. Low Temp. Phys. 118, 599 (2000).

    Google Scholar 

  3. R.J. Schoelkopf et al., Phys. Rev. Lett. 78, 3370 (1997).

    Article  ADS  Google Scholar 

  4. A.A. Kozhevnikov, R.J. Schoelkopf and D.E. Prober, Phys. Rev. Lett. 84, 3398 (2000).

    Article  ADS  Google Scholar 

  5. B. Reulet et al., cond-mat/0208089.

    Google Scholar 

  6. For a review, see Kogan, S.M. (1996) Electronic Noise and Fluctuations in Solids. Cambridge: Cambridge University Press

    Book  Google Scholar 

  7. D. Rogovin and D.J. Scalapino, Ann. Phys. 86, 1 (1974).

    Article  ADS  Google Scholar 

  8. B.L. Altshuler, A.G. Aronov and D.E. Khmelnitsky, J. Phys. C 15, 7367 (1982).

    Article  ADS  Google Scholar 

  9. G. Bergman, Phys. Rep. 107, 1 (1984).

    Article  MathSciNet  ADS  Google Scholar 

  10. T.A. Fulton and G.J. Dolan, Phys. Rev. Lett. 59, 109 (1987).

    Article  ADS  Google Scholar 

  11. J.B. Pieper, J.C. Price and J.M. Martinis, Phys. Rev. B45, 3857 (1992). J.B. Pieper and J.C. Price, Phys. Rev. Lett. 72, 3586 (1994).

    ADS  Google Scholar 

  12. Y.M. Blanter and M. Büttiker, Phys. Rep. 336, 1 (2000).

    Article  ADS  Google Scholar 

  13. A.H. Steinbach, J.M. Martinis and M.H. Devoret, Phys. Rev. Lett. 76, 3806 (1996).

    Article  ADS  Google Scholar 

  14. A.A. Kozhevnikov et al., J. Low Temp. Phys. 118, 671 (2000).

    Article  Google Scholar 

  15. J.R. Tucker and M.J. Feldman, Rev. Mod. Phys. 57,1055 (1985).

    Article  ADS  Google Scholar 

  16. Yuli V. Nazarov and T. H. Stoof, Phys. Rev. Lett. 76, 823 (1996).

    Article  ADS  Google Scholar 

  17. A. F. Volkov, A. V. Zaitsev and T. M. Klapwijk, Physica C 59, 21 (1993).

    Article  ADS  Google Scholar 

  18. W. Belzig et al., Superlattices Microst. 25, 1251 (1999).

    Article  ADS  Google Scholar 

  19. Yu. V. Nazarov, Superlattices Microst. 25,1221 (1999).

    Article  ADS  Google Scholar 

  20. G. Eilenberger, Z. Phys. 214, 195 (1968); A. I. Larkin and Yu. N. Ovchinnikov, Sov. Phys. JETP 26, 1200 (1968); K. D. Usadel, Phys. Rev. Lett. 25, 507 (1970).

    Article  ADS  Google Scholar 

  21. K. E. Nagaev, Phys. Lett. A 169, 103 (1992).

    Article  ADS  Google Scholar 

  22. K. E. Nagaev and M. Büttiker, Phys. Rev. B 63, 081301 (2001).

    Article  ADS  Google Scholar 

  23. W. Belzig and Yu. V. Nazarov, Phys. Rev. Lett. 87, 067006 (2001).

    Article  ADS  Google Scholar 

  24. W. Belzig and Yu. V. Nazarov, Phys. Rev. Lett. 87, 197006 (2001).

    Article  ADS  Google Scholar 

  25. L. S. Levitov, H. W. Lee, and G. B. Lesovik, J. Math. Phys. 37, 4845 (1996).

    Article  MathSciNet  ADS  MATH  Google Scholar 

  26. Yu. V. Nazarov, Ann. Phys. (Leipzig) 8, SI–193 (1999).

    Google Scholar 

  27. B. A. Muzykantskii and D. E. Khmelnitzkii, Phys. Rev. B 50, 3982 (1994).

    Article  ADS  Google Scholar 

  28. B. Reulet, J. Senzier and D.E. Prober, unpublished.

    Google Scholar 

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Reulet, B., Prober, D.E., Belzig, W. (2003). Shot Noise of Mesoscopic NS Structures: The Role of Andreev Reflection. In: Nazarov, Y.V. (eds) Quantum Noise in Mesoscopic Physics. NATO Science Series, vol 97. Springer, Dordrecht. https://doi.org/10.1007/978-94-010-0089-5_4

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  • DOI: https://doi.org/10.1007/978-94-010-0089-5_4

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-1-4020-1240-2

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