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Stochastic Resonance in Superconducting Nb Film with Periodic Array of Holes

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Abstract

Stochastic fluxon dynamics and spatial ordering are studied in a superconducting Nb film patterned with a periodic (3×3 micron) square array of holes. First, imaging of the film is performed using Scanning Hall Probe Microscope following application of the random noise magnetic drive. We observe formation of the fluxon stripe patterns oriented preferentially along the principal axes of the array. Next, ac magnetic field is applied as superposition of harmonic and random noise components and the local magnetic response is probed with the micron-sized Hall sensor at a single array site. We find that hopping of the fluxons becomes synchronized with the harmonic driving at certain amplitude of the random noise; the latter is found to be dependent upon the harmonic drive frequency. We attribute our observations to the phenomenon of stochastic resonance that is ubiquitous in non-linear multi-level systems with dynamic threshold and discuss a possibility of flux manipulation using stochastically-resonant periodic driving.

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References

  1. Kramers, H.A.: Brownian motion in a field of force and the diffusion model of chemical reactions. Physica (Utrecht) 7, 284–304 (1940)

    Article  MathSciNet  ADS  MATH  Google Scholar 

  2. Gammaitoni, L., Hanggi, P., Jung, P., Marchesoni, F.: Stochastic resonance. Rev. Mod. Phys. 70, 223–287 (1998)

    Article  ADS  Google Scholar 

  3. von Haeften, B., Deza, R., Wio, H.S.: Enhancement of stochastic resonance in distributed systems due to a selective coupling. Phys. Rev. Lett. 84, 404–407 (2000)

    Article  ADS  Google Scholar 

  4. Lindner, F., Meadows, B.K., Ditto, W.L., Inchiosa, M.E., Bulsara, A.R.: Array enhanced stochastic resonance and spatiotemporal synchronization. Phys. Rev. Lett. 75, 3–6 (1995)

    Article  ADS  Google Scholar 

  5. Braiman, Y., Lindner, J.F., Ditto, W.L.: Taming spatiotemporal chaos with disorder. Nature 378, 465–467 (1995)

    Article  ADS  Google Scholar 

  6. van den Broeck, C., Parrondo, J.M.R., Toral, R.: Noise-induced nonequilibrium phase transition. Phys. Rev. Lett. 73, 3395–3398 (1994)

    Article  ADS  Google Scholar 

  7. Metlushko, V.V., Baert, M., Jonckheere, R., Moshchalkov, V.V., Bruynseraede, Y.: Matching effects in Pb/Ge multilayers with the lattice of submicron holes. Solid State Commun. 91, 331–335 (1994)

    Article  ADS  Google Scholar 

  8. Moshchalkov, V.V., Baert, M., Metlushko, V.V., Rosseel, E., Bael, M.J.V., Temst, K.: Magnetization of multiple-quanta vortex lattices. Phys. Rev. B 54, 7385–7393 (1996)

    Article  ADS  Google Scholar 

  9. Bezryadin, A., Pannetier, B.: Role of edge superconducting states in trapping of multiquanta vortices by microholes. Application of the Bitter decoration technique. J. Low Temp. Phys. 102, 73–94 (1996)

    Article  ADS  Google Scholar 

  10. Grigorenko, A.N., Bending, S.J., Bael, M.J.V., Lange, M., Moshchalkov, V.V., Fangohr, H., de Groot, P.A.J.: Symmetry locking and commensurate vortex domain formation in periodic pinning arrays. Phys. Rev. Lett. 90, 237001 (2003)

    Article  ADS  Google Scholar 

  11. Hallen, H.D., Chang, A.M., Miller, R., Pfeiffer, L.N., West, K., Hess, H.F.: Penetration of laterally quantized flux lamina into a superconducting wire network. Solid State Commun. 99, 651–654 (1996)

    Article  ADS  Google Scholar 

  12. Jung, G., Savo, B.: Elementary and macroscopic two-level fluctuations in high-Tc superconductors. J. Appl. Phys. 80, 2939–2948 (1996)

    Article  ADS  Google Scholar 

  13. Jung, G., Savo, B., Yuzhelevski, Y.: Quiet and noisy metastable voltage states in high-T c superconductors. Phys. Rev. B 62, 6674–6680 (2000)

    Article  ADS  Google Scholar 

  14. Glukhov, A.M., Sivakov, A.G., Ustinov, A.V.: Observation of stochastic resonance in percolative Josephson media. Low Temp. Phys. 28, 383–386 (2002)

    Article  ADS  Google Scholar 

  15. Tsindlekht, M.I., Felner, I., Gitterman, M., Shapiro, B.Y.: Stochastic resonance phenomenon in a superconducting surface state of single-crystal Nb. Phys. Rev. B 62, 4073–4078 (2000)

    Article  ADS  Google Scholar 

  16. Dikshtein, I.E., Polzikova, N.I., Kuznetsov, D.V., Schimansky-Geier, L.: Stochastic resonance of elastic string motion. J. Appl. Phys. 90, 5425–5433 (2001)

    Article  ADS  Google Scholar 

  17. Harris, J.M., Ong, N.P., Gagnon, R., Taillefer, L.: Washboard frequency of the moving vortex lattice in YBa2Cu3O6.93 detected by ac–dc interference. Phys. Rev. Lett. 74, 3684–3687 (1995)

    Article  ADS  Google Scholar 

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Acknowledgements

Authors are thankful to G. Jung for useful discussions. Funding by the Syracuse University and the U.S. NSF, grant DMR-0210519 is acknowledged.

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Correspondence to M. Marchevsky.

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Marchevsky, M., DeFeo, M.P., Metlushko, V. et al. Stochastic Resonance in Superconducting Nb Film with Periodic Array of Holes. J Supercond Nov Magn 26, 2073–2077 (2013). https://doi.org/10.1007/s10948-012-2085-0

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  • DOI: https://doi.org/10.1007/s10948-012-2085-0

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