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Superconducting Nanowires: New Type of BCS-BEC Crossover Driven by Quantum-Size Effects

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Physical Properties of Nanosystems

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Abstract

We show that a superconducting quantum nanowire undergoes a new type of BCS-BEC crossover each time when an electron subband approaches the Fermi surface. In this case the longitudinal Cooper-pair size drops by two-three orders of magnitude down to a few nanometers. This unconventional BCS-BEC crossover is driven by quantum-size effects rather than by tuning the fermion-fermion interaction.

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References

  1. D. M. Eagles, Phys. Rev. 186, 456 (1969).

    Article  ADS  Google Scholar 

  2. A. J. Leggett, J. Phys. (Paris), Colloq. 41, 7 (1980).

    Google Scholar 

  3. P. Nozieres and S. Schmitt-Rink, J. Low. Temp. Phys. 59, 195 (1985).

    Article  ADS  Google Scholar 

  4. I. Bloch, J. Dalibard, and W. Zwerger, Rev. Mod. Phys. 80, 885 (2008).

    Article  ADS  Google Scholar 

  5. J. M. Blatt and C. J. Thompson, Phys. Rev. Lett. 10, 332 (1963).

    Article  ADS  Google Scholar 

  6. A. A. Shanenko, M. D. Croitoru, M. Zgirski, F. M. Peeters, and K. Arutyunov, Phys. Rev. B 74, 052502 (2006); A. A. Shanenko, M. D. Croitoru, and F. M. Peeters, Phys. Rev. B 75, 014519 (2007).

    Google Scholar 

  7. Y. Guo, Y.-F. Zhang, X.-Y. Bao, T.-Z. Han, Z. Tang, L.-X. Zhang, W.-G. Zhu, E.G. Wang, Q. Niu, Z. Q. Qiu, J.-F. Jia, Z.-X. Zhao, and Q. K. Xue, Science 306, 1915 (2004).

    Article  ADS  Google Scholar 

  8. X.-Y. Bao, Y.-F. Zhang, Y. Wang, J.-F. Jia, Q.-K. Xue, X. C. Xie, and Z.-X. Zhao, Phys. Rev. Lett. 95, 247005 (2005).

    Article  ADS  Google Scholar 

  9. D. Eom, S. Qin, M.-Y. Chou, and C. K. Shih, Phys. Rev. Lett. 96, 027005 (2006).

    Article  ADS  Google Scholar 

  10. P. G. de Gennes, 1966. Superconductivity of metals and alloys (W. A. Bejamin, New York, 1966).

    Google Scholar 

  11. A. L. Fetter, and J. D. Walecka, Quantum theory of many-particle systems. (Dover, New York, 2003).

    Google Scholar 

  12. A. A. Abrikosov, L. P. Gor’kov, and I. E. Dzyaloshinski, Quantum field theoretical methods in statistical physics (Pergamon, Oxford, 1965).

    MATH  Google Scholar 

  13. A. M. Zagoskin, Quantum theory of many-body systems: techniques and applications (Springer, New York, 1998).

    MATH  Google Scholar 

  14. A. A. Shanenko, M. D. Croitoru, and F. M. Peeters, Phys. Rev. B 78, 024505 (2008); M. D. Croitoru, A. A. Shanenko, C. C. Kaun, and F. M. Peeters, Phys. Rev. B 80, 024513 (2009).

    Google Scholar 

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Acknowledgements

This work was supported by the Flemish Science Foundation (FWO-Vl), the Belgian Science Policy (IAP) and the ESF-network: INSTANS. M.D.C. acknowledges support from the Alexander von Humboldt Foundation.

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Authors and Affiliations

  1. TGM, Departement Fysica, Universiteit Antwerpen, Groenenborgerlaan 171, B-2020, Antwerpen, Belgium

    A. A. Shanenko & F. M. Peeters

  2. Institute of Theoretical Physics, University of Bayreuth, D-95440, Bayreuth, Germany

    M. D. Croitoru & A. Vagov

Authors
  1. A. A. Shanenko
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  2. M. D. Croitoru
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  3. A. Vagov
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  4. F. M. Peeters
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Corresponding author

Correspondence to A. A. Shanenko .

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Editors and Affiliations

  1. Jožef Stefan Institute, Jadranska 19, Ljubljana, 1000, Slovenia

    Janez Bonca

  2. Theoretical Physics, Bogolyubov Institute for, Metrologichna 14 b14b, Kiev, 03680, Ukraine

    Sergei Kruchinin

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Shanenko, A.A., Croitoru, M.D., Vagov, A., Peeters, F.M. (2011). Superconducting Nanowires: New Type of BCS-BEC Crossover Driven by Quantum-Size Effects. In: Bonca, J., Kruchinin, S. (eds) Physical Properties of Nanosystems. NATO Science for Peace and Security Series B: Physics and Biophysics. Springer, Dordrecht. https://doi.org/10.1007/978-94-007-0044-4_9

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