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Normal State Properties and Upper Critical Magnetic Field in Three-dimensional Polycrystalline Niobium Films

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Abstract

Three-dimensional (3D) niobium (Nb) films have been deposited on quartz substrates by changing substrate temperature or film thickness. The relationship of \(\rho\) and T in metallic film satisfies the Bloch–Gruneisen (B-G) theory with T expanding from 300 K to 10 K. The global superconductivity of Nb film disappeared by increasing the perpendicular magnetic field, because the superconducting state was destroyed by the increased magnetic field. The upper critical magnetic field \(H_{c2}\) changes with temperature linearly, except for that at temperature near superconducting transition temperature \(T_c\). The value of \(H_{c2}\)(0) obtained by linear fit was as large as 9.07 T in the film of grain size of 26.8 nm. This maximum of \(H_{c2}\)(0) was found to increase by 3.2 times of bulk Nb value, more than 2.5 times reported earlier. This can be ascribed to the small grain size of the film. A portion of the applied magnetic energy may affect superconductivity due to some magnetic field penetrating into the grains.

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References

  1. Devenyi, A., Manaila-Devenyi, R., Hill, R.M.: Hopping Conduction through Localized States in Nb/Al\(_2\)O\(_3\) Films. Phys. Rev. Lett. 29, 1738–1741 (1972)

    Article  ADS  Google Scholar 

  2. Bose, S., Banerjee, R., Genc, A., Raychaudhuri, P., Fraser, H.L., Ayyub, P.: Size induced metal-insulator transition in nanostructured niobium thin films: intra-granular and inter-granular contributions. J. Phys. 18, 4553–4566 (2006)

    Google Scholar 

  3. Sheng, P., Abeles, B., Arie, Y.: Hopping Conductivity in Granular Metals. Phys. Rev. Lett. 31, 44–47 (1973)

    Article  ADS  Google Scholar 

  4. Abeles, B., Sheng, P., Coutts, M., Arie, Y.: Structural and electrical properties of granular metal films. Adv. Phys. 24, 407–461 (1975)

    Article  ADS  Google Scholar 

  5. Wu, T.C., Lin, J.J., Sheng, P.: A critical path approach for elucidating the temperature dependence of granular hopping conduction. Front. Phys. 13, 137205 (2018)

    Article  ADS  Google Scholar 

  6. Duan, X.Z., He, Z.H., Yang, Y., Li, Z.H.: Hopping conductance and macroscopic quantum tunneling effect in three dimensional Pb\(_x\)(SiO\(_2\))\(_{1-x}\) nanogranular films. Phys. Rev. B 99, 094204 (2019)

    Article  ADS  Google Scholar 

  7. Salvato, M., Lucci, M., Ottaviani, I., Cirillo, M., Behabtu, N., Young, C.C., Pasquali, M., Vecchione, A., Fittipaldi, R., Corato, V.: Superconductive niobium films coating carbon nanotube fibers. Supercond. Sci. Technol. 27, 115006 (2014)

    Article  ADS  Google Scholar 

  8. Dodds, S.A., Harrington, S.N., Newrock, R.S., Loeffler, K.: Evidence for large-scale structures in granular superconductors. Phys. Rev. B 33, 3115–3124 (1986)

    Article  ADS  Google Scholar 

  9. Matsuoka, H., Nakano, M., Shitaokoshi, T., Ouchi, T., Wang, Y., Kashiwabara, Y., Yoshida, S., Ishizoka, K., Kawasaki, M., Kohama, Y., Nojima, T., Iwasa, Y.: Angle dependence of \(H_{c2}\) with a crossover between the orbital and paramagnetic limits. Phys. Rev. Research 2, 012064(R) (2020)

    Article  ADS  Google Scholar 

  10. Abeles, B., Cohen, R.W., Stowell, W.R.: Critical magnetic fields of granular superconductors. Phys. Rev. Lett. 18, 902–905 (1967)

    Article  ADS  Google Scholar 

  11. Deutscher, G., Entin-Wohlman, O., Shapira, Y.: Upper critical fields in granular superconductors. Phys. Rev. B 22, 4264–4270 (1980)

    Article  ADS  Google Scholar 

  12. Hsu, S.Y., Valles, J.M., Jr.: Perpendicular upper critical field of granular Pb films near the superconductor-to-insulator transition. Phys. Rev. B 47, 14334–14337 (1993)

    Article  ADS  Google Scholar 

  13. Li, W.H., Yang, C.C., Tsao, F.C., Lee, K.C.: Quantum size effects on the superconducting parameters of zero-dimensional Pb nanoparticles. Phys. Rev. B 68, 184507 (2003)

    Article  ADS  Google Scholar 

  14. Wang, Z.H., Geng, D.Y., Han, Z., Zhang, Z.D.: Large critical magnetic field and tunneling anomaly behavior of superconducting carbon-coated Sn nanorods and nanoparticles. J. Appl. Phys. 108, 013903 (2010)

    Article  ADS  Google Scholar 

  15. Wu, F.Y., Yang, C.C., Wu, C.M., Wang, C.W., Li, W.H.: Superconductivity in zero-dimensional indium nanoparticles. J. Appl. Phys. 101, 09G111 (2007)

    Article  Google Scholar 

  16. Quateman, J.H.: \(T_c\) suppression and critical fields in thin superconducting Nb films. Phys. Rev. B 34, 1948–1951 (1986)

    Article  ADS  Google Scholar 

  17. Hikita, M., Tajima, Y., Tamamura, T.: Weak localization, fluctuation, and superconductivity in thin Nb films and wires. Phys. Rev. B 42, 118–126 (1990)

    Article  ADS  Google Scholar 

  18. Bose, S., Raychaudhuri, P., Banerjee, R., Ayyub, P.: Upper critical field in nanostructured Nb: Competing effects of the reduction in density of states and the mean free path. Phys. Rev. B 74, 224502 (2006)

    Article  ADS  Google Scholar 

  19. Ziman, J.M.: Electron and Phonons. Clarendon, Oxford (1960)

    MATH  Google Scholar 

  20. He, M., Wong, C.H., Tse, P.L., Zheng, Y., Zhang, H., Lam, F.Y., Sheng, P., Hu, X., Lortz, R.: Giant enhancement of the upper critical field and fluctuations above the bulk \(T_c\) in superconducting ultrathin lead nanowire arrays. ACS Nano 7, 4187–4193 (2013)

    Article  Google Scholar 

  21. Orlando, T.P., McNiff, E.J., Jr., Foner, S., Beasley, M.R.: Critical fields, Pauli paramagnetic limiting, and material parameters of Nb\(_3\)Sn and V\(_3\)Si. Phys. Rev. B 19, 4545–4561 (1979)

    Article  ADS  Google Scholar 

  22. He, M., Wong, C.H., Tse, P.L., Zheng, Y., Zhang, H., Lam, F.Y., Sheng, P., Hu, X., Lortz, R.: Giant enhancement of the upper critical field and fluctuations above the bulk \(T_c\) in superconducting ultrathin lead nanowire arrays. ACS Nano 7, 4187–4193 (2013)

    Article  Google Scholar 

  23. Cohen, R.W., Abeles, B.: Superconductivity in granular aluminum films. Phys. Rev. 168, 444–450 (1966)

    Article  ADS  Google Scholar 

  24. Werthamer, N.R, Helfand, E., Hohenberg, P. C.: Temperature and purity dependence of the superconducting critical field, \(H_{c2}\). III. Electron spin and spin orbit effects. Phys. Rev. 147, 295-302 (1966)

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Acknowledgements

This work is supported by the Innovate Foundation for Doctor of Tangshan University (Grant No. 1402002). The authors are thankful to Prof. Zhi-Qing Li, Tianjin Key Laboratory of Low Dimensional Materials Physics and Preparing Technology, Department of Physics, Tianjin University, China.

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Duan, XZ., He, ZH. Normal State Properties and Upper Critical Magnetic Field in Three-dimensional Polycrystalline Niobium Films. J Supercond Nov Magn 34, 2517–2522 (2021). https://doi.org/10.1007/s10948-021-05916-9

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