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

K. Harrabi; F. O. Bakare; F. Oktasendra; J. P. Maneval

doi:10.1007/s10948-016-3833-3

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

K. Harrabi^*, F. O. Bakare, F. Oktasendra, J. P. Maneval

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

4 Scopus citations

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.

Original language	English
Pages (from-to)	1349-1352
Number of pages	4
Journal	Journal of Superconductivity and Novel Magnetism
Volume	30
Issue number	5
DOIs	https://doi.org/10.1007/s10948-016-3833-3
State	Published - 1 May 2017

Bibliographical note

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

Publisher Copyright:
© 2016, Springer Science+Business Media New York.

Keywords

74.25.Kc Phonons
74.40.Gh Nonequilibrium superconductivity

ASJC Scopus subject areas

Electronic, Optical and Magnetic Materials
Condensed Matter Physics

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10.1007/s10948-016-3833-3

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

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, Tc, 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 td, which we analyze through a Time-Dependent Ginzburg-Landau (TDGL) theory according to Tinkham{\textquoteright}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.",

keywords = "74.25.Kc Phonons, 74.40.Gh Nonequilibrium superconductivity",

author = "K. Harrabi and Bakare, {F. O.} and F. Oktasendra and Maneval, {J. P.}",

note = "Funding Information: Authors gratefully acknowledges the support of the King Fahd University of Petroleum and Minerals, Saudi Arabia, under the IN131034 DSR project. Publisher Copyright: {\textcopyright} 2016, Springer Science+Business Media New York.",

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AU - Harrabi, K.

AU - Bakare, F. O.

AU - Oktasendra, F.

AU - Maneval, J. P.

N1 - Funding Information: Authors gratefully acknowledges the support of the King Fahd University of Petroleum and Minerals, Saudi Arabia, under the IN131034 DSR project. Publisher Copyright: © 2016, Springer Science+Business Media New York.

PY - 2017/5/1

Y1 - 2017/5/1

N2 - 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, Tc, 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 td, 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.

AB - 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, Tc, 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 td, 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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ER -

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

Abstract

Bibliographical note

Keywords

ASJC Scopus subject areas

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