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Resonant Josephson Current Through a Quantum Dot

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Part of the book series: Springer Series in Electronics and Photonics ((SSEP,volume 31))

Abstract

We calculate the DC Josephson current through a semiconducting quantum dot which is weakly coupled by tunnel barriers to two superconducting reservoirs. A Breit-Wigner resonance in the conductance corresponds to a resonance in the critical current, but with a different (non-lorentzian) lineshape. For equal tunnel rates MATHTYPE through the two barriers, the zero-temperature critical current on resonance is given by (e/ℏ)Δ0h0/(Δ0 + Г0) (with Δ0 the superconducting energy gap).

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References

  1. H. van Houten, Appl. Phys. Lett. 58, 1326 (1991).

    Article  ADS  Google Scholar 

  2. For a review of quantum transport in semiconductor nanostructures, see: C. W. J. Beenakker and H. van Houten, Solid State Physics 44, 1 (1991).

    Article  Google Scholar 

  3. C. W. J. Beenakker and H. van Houten, Phys. Rev. Lett. 66, 3056 (1991).

    Article  ADS  Google Scholar 

  4. A. Furusaki, H. Takayanagi, and M. Tsukada, Phys. Rev. Lett. 67, 132 (1991).

    Article  ADS  Google Scholar 

  5. L. G. Aslamazov and M. V. Fistul’, Sov. Phys. JETP 56, 666 (1982)

    Google Scholar 

  6. A. V. Tartakovskii and M. V. Fistul’, Sov. Phys. JETP 67, 1935 (1988).

    Google Scholar 

  7. L. I. Glazman and K. A. Matveev, JETP Lett. 49, 659 (1989).

    ADS  Google Scholar 

  8. C. W. J. Beenakker and H. van Houten, in: Proc. Int. Symp. on Nanostructures and Mesoscopic Systems, ed. by W. P. Kirk (Academic, New York, to be published).

    Google Scholar 

  9. Alternative scattering approaches to the DC Josephson effect have been formulated by A. Furusaki and M. Tsukada, Solid State Comm. 78, 299 (1991)

    Article  ADS  Google Scholar 

  10. B. J. van Wees, K.-M. H. Lenssen, and C. J. P. M. Harmans, Phys. Rev. B 44, 470 (1991).

    Article  ADS  Google Scholar 

  11. for the discrete spectrum agrees with P. I. Arseyev and B. A. Volkov, Solid State Comm. 78, 373 (1991).

    Article  ADS  Google Scholar 

  12. E. Akkermans, A. Auerbach, J. E. Avron, and B. Shapiro, Phys. Rev. Lett. 66, 76 (1991).

    Article  ADS  Google Scholar 

  13. M. Büttiker, IBM J. Res. Dev. 32, 63 (1988). 179

    Google Scholar 

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© 1992 Springer-Verlag Berlin Heidelberg

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Beenakker, C.W.J., van Houten, H. (1992). Resonant Josephson Current Through a Quantum Dot. In: Koch, H., Lübbig, H. (eds) Single-Electron Tunneling and Mesoscopic Devices. Springer Series in Electronics and Photonics, vol 31. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-77274-0_20

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  • DOI: https://doi.org/10.1007/978-3-642-77274-0_20

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-77276-4

  • Online ISBN: 978-3-642-77274-0

  • eBook Packages: Springer Book Archive

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