Phase Synchronization in a System of Parallel Connected Nano-Sized Josephson Contacts by External High-Frequency Field

O. L. Kasatkin$^{1}$, A. P. Shapovalov$^{2}$, V. E. Shaternik$^{1}$, S. I. Futimskii$^{1}$

$^{1}$G. V. Kurdyumov Institute for Metal Physics, NAS of Ukraine, 36 Academician Vernadsky Blvd., UA-03142 Kyiv, Ukraine
$^{2}$V.M. Bakul Institute for Superhard Materials, NAS of Ukraine, 2 Avtozavods’ka Str., UA-04074 Kyiv, Ukraine

Received: 16.11.2018. Download: PDF

The principal possibility of phase synchronization in a system of parallel-connected nanoscale Josephson contacts in a non-stationary mode due to external high-frequency electromagnetic field is shown. The conditions imposed on the amplitude and frequency of the external field are found for the occurrence of a synchronized electromagnetic field generation in such system of Josephson oscillators.

Key words: weakly coupled superconductors, macroscopic quantum coherence, critical current, Josephson effect, Josephson generation, phase synchronization.

URL: http://mfint.imp.kiev.ua/en/abstract/v41/i04/0417.html

DOI: https://doi.org/10.15407/mfint.41.04.0417

PACS: 42.70.Hj, 74.25.N-, 74.45.+c, 74.50.+r, 74.81.Fa, 85.25.Am, 85.25.Dq

Citation: O. L. Kasatkin, A. P. Shapovalov, V. E. Shaternik, and S. I. Futimskii, Phase Synchronization in a System of Parallel Connected Nano-Sized Josephson Contacts by External High-Frequency Field, Metallofiz. Noveishie Tekhnol., 41, No. 4: 417—425 (2019) (in Ukrainian)


REFERENCES
  1. A. Barone and G. Paterno, Physics and Applications of the Josephson Effect (John Willey & Sons, Inc.: 1982). Crossref
  2. K. K. Likharev, Vvedenie v Dinamiku Dzhozephsonovskikh Perekhodov [Introduction to the Josephson Junctions Dynamics] (Moscow: Nauka: 1985) (in Russian).
  3. K. K. Likharev and V. K. Semenov, IEEE Trans. Appl. Supercond., 1: 3 (1991). Crossref
  4. A. N. Omel'yanchouk, E. V. Il'yichev, and S. N. Shevchenko, Kvantovye Kogerentnye Yavleniya v Dzhosefsonovskikh Kubitakh [Quantum Coherence Phenomena in Josephson Qubits (Kiev: Naukova Dumka: 2013).
  5. T. M. Benseman, K. E. Gray, A. E. Koshelev, W. K. Kwok, U. Welp, H. Minami, K. Kadowaki, and T. Yamamoto, Appl. Phys. Lett., 103: 022602 (2013). Crossref
  6. E. A. Borodianskyi and V. M. Krasnov, Nat. Commun., 8, Article number 1742 (2017). Crossref
  7. A. L. Gudkov, M. Y. Kupriyanov, and A. N. Samus', J. Exp. Theor. Phys., 114: 818 (2012). Crossref
  8. V. E. Shaternik, A. P. Shapovalov, and O. Yu. Suvorov, Low Temp. Phys., 43: 877 (2017). Crossref
  9. A. K. Jain, K. K. Likharev, J. E. Lukens, and J. E. Sauvageau, Phys. Reports, 109: 309 (1984). Crossref
  10. P. Hadley, M. R. Beasly, and K. Wiesenfeld, Appl. Phys. Lett., 52: 1619 (1988). Crossref
  11. L. L. Sohn, M. S. Rzchowski, J. U. Free, and M. Tinkham, Phys. Rev. B, 47: 967 (1993). Crossref
  12. L. L. Sohn, M. T. Tuominen, M. S. Rzchowski, J. U. Free, and M. Tinkham, Phys. Rev. B, 47: 975 (1993). Crossref
  13. J. K. Harbaugh and D. Stroud, Phys. Rev. B, 56: 8335 (1997). Crossref
  14. G. Filatrella, N. F. Pedersen, and K. Wiesenfeld, Phys. Rev. E, 61: 2513 (2000). Crossref
  15. B. R. Trees, V. Saranathan, and D. Stroud, Phys. Rev. E, 71: 016215 (2005). Crossref
  16. D. Chevriaux, R. Khomeriki, and J. Leon, Phys. Rev. B, 73: 214516 (2006). Crossref
  17. R. N. Chitra, and V. C. Kuriakose, CHAOS, 18: 023129 (2008). Crossref
  18. B. C. Daniels, S. T. M. Dissanayake, and B. R. Trees, Phys. Rev. E, 67: 026216 (2003). Crossref
  19. J. Hindes and C. R. Myers, CHAOS, 25: 073119 (2015). Crossref
  20. M. A. Galin, E. A. Borodyanskii, V. V. Kurin, L. A. Shershevski, N. K. Vdovicheva, V. M. Krasnov, and A. M. Klushin, Phys. Rev. Applied, 9: 054032 (2018). Crossref
  21. V. E. Shaternik, A. P. Shapovalov, T. A. Prikhna, O. Y. Suvorov, M. A. Skorik, V. I. Bondarchuk, and V. E. Moshchil, IEEE Trans. Appl. Supercond., 27, No. 4: 1800507 (2017). Crossref
  22. Henry D. I. Abarbanel, M. I. Rabinovich, and M. M. Sushchik, Introduction to Nonlinear Dynamics for Physicists (World Scientific Publishing Co. Pte. Ltd.:1993). Crossref
  23. G. V. Osipov and M. M. Sushchik, Phys. Rev. E, 58: 7198 (1998). Crossref