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Temperature Dependence of the Phonon Escape Time Deduced from the Nucleation Time of Phase Slip Center in Superconducting NbTiN Thin Film

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Abstract

We have investigated the voltage response of superconducting NbTiN strips to a step-pulse of overcritical current in the range of temperatures 0.4 < T/T c < 0.9, where the critical temperature, T c , is 8.7 K. The current-induced destruction of the Cooper pairs leads to the nucleation of a phase-slip center. The response appears after a certain delay time t d , which we analyze through a Time-Dependent Ginzburg-Landau (TDGL) theory according to Tinkham’s approach. The experimental findings can be fitted by inferring a film cooling time of about 1.8 ns for a 20-nm-thick film, very little dependent upon sample width and temperature. Assuming a definite ratio between the electron and phonon specific heats, one deduces an average phonon escape time of 90 ps per nm thickness of NbTiN film sputtered on sapphire.

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References

  1. Gol’tsman, G.N., et al.: Appl. Phys. Lett. 79, 705–707 (2001)

    Article  ADS  Google Scholar 

  2. Miki, S, Takeda, M, Fujiwara, M, Sasaki, M, Otomo, A, Wang, Z: Appl. Phys. Express. 2, 075002 (2009)

    Article  ADS  Google Scholar 

  3. Webb, W.W., Warburton, R.J.: Phys. Rev. Lett. 20, 461 (1968)

    Article  ADS  Google Scholar 

  4. Skocpol, W.J., Beasley, M.R., Tinkham, M.: J. Low Temp. Phys. 16, 145 (1974)

    Article  ADS  Google Scholar 

  5. Tinkham, M.: Non-Equilibrium Superconductivity, Phonons and Kapitza Boundaries. In: Gray, K.E. (ed.) pp 231–262. Plenum, New York (1981)

  6. Harrabi, K.: AIP Adv. 5, 037102 (2015)

    Article  ADS  Google Scholar 

  7. Pals, J.A., Wolter, J.: Phys. Lett. A 70, 150 (1979)

    Article  ADS  Google Scholar 

  8. Harrabi, K., Salem, A.F., Ziq, K., Mansour, A.I., Kunwar, S., Maneval, J.P., Berdiyorov, G.: Appl. Phys. A 117, 2033–2036 (2014)

    Article  ADS  Google Scholar 

  9. Harrabi, K.: J. Supercond. Nov. Magn. 26, 1865 (2013)

    Article  Google Scholar 

  10. Harrabi, K.: J. Supercond. Nov. Magn. 28, 573 (2015)

    Article  Google Scholar 

  11. Berdiyorov, G., Harrabi, K., Oktasendra, F., Gasmi, K., Mansour, A.I., Maneval, J.P., Peeters, F.M.: Phys. Rev. B 90, 134505 (2014)

    Article  ADS  Google Scholar 

  12. Ladan, F.R., Harrabi, Kh., Rosticher, M., Villard, C., Mathieu, P., Maneval, J.-P.: J. Low Temp. Phys. 153, 103 (2008)

    Article  ADS  Google Scholar 

  13. Harrabi, K., Oktasendra, F., Gasmi, 1 K., Berdiyorov, G., Mekki, A., Maneval, J.-P.: IEEE Trans. Appl. Supercond. (2016)

  14. Harrabi, K.: IEEE Trans. Appl. Supercond. (2016)

  15. Bluzer, N.: Phys. Rev. B 46, 1033 (1992)

    Article  ADS  Google Scholar 

  16. Semenov, A.D., Nebosis, R.S., Gousev, Yu. P., Heusinger, M.A., Renk, K.F.: Phys. Rev. B 52, 581 (1995)

    Article  ADS  Google Scholar 

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Acknowledgments

Authors gratefully acknowledges the support of the King Fahd University of Petroleum and Minerals, Saudi Arabia, under the IN131034 DSR project.

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Authors and Affiliations

  1. Physics Department, King Fahd University of Petroleum and Minerals, 31261, Dhahran, Saudi Arabia

    K. Harrabi, F. O. Bakare & F. Oktasendra

  2. Center of Research Excellence in Renewable Energy (CoRERE), Research Institute, King Fahd University of Petroleum and Minerals (KFUPM), Dhahran, 31261, Saudi Arabia

    K. Harrabi

  3. Laboratoire de Physique LPA, Ecole Normale Supérieure, 75231, Paris 5, France

    J. P. Maneval

Authors
  1. K. Harrabi
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  2. F. O. Bakare
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  3. F. Oktasendra
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  4. J. P. Maneval
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Correspondence to K. Harrabi.

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Harrabi, K., Bakare, F.O., Oktasendra, F. et al. Temperature Dependence of the Phonon Escape Time Deduced from the Nucleation Time of Phase Slip Center in Superconducting NbTiN Thin Film. J Supercond Nov Magn 30, 1349–1352 (2017). https://doi.org/10.1007/s10948-016-3833-3

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  • DOI: https://doi.org/10.1007/s10948-016-3833-3

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