Josephson Dynamics at High Transmissions: Voltage and Current Bias Limits

Cover Page

Cite item

Full Text

Open Access Open Access
Restricted Access Access granted
Restricted Access Subscription or Fee Access

Abstract

We establish a direct relation between the I–V curves for highly transparent Josephson junctions in the voltage- and current-biased regimes. We demonstrate that the presence of sub-Ohmic dissipation at subgap voltages and temperatures yields the linear dependence of the average voltage V¯">V¯ on the bias current I exceeding the critical one Ic">Ic, in contrast to the square root dependence V¯∝I−Ic">V¯∝I−Ic in the Ohmic limit. Our predictions are compared with recent experimental findings.

About the authors

A. V. Galaktionov

Tamm Department of Theoretical Physics, Lebedev Physical Institute, Russian Academy of Sciences

Email: galakt@lpi.ru
119991, Moscow, Russia

A. D. Zaikin

Tamm Department of Theoretical Physics, Lebedev Physical Institute, Russian Academy of Sciences

Author for correspondence.
Email: galakt@lpi.ru
119991, Moscow, Russia

References

  1. M. Tinkham, Introduction to Superconductivity, 2nd ed., McGraw-Hill, N.Y. (1996).
  2. A. Barone and G. Paterno, Physics and Applications of the Josephson Effect, John Wiley & Sons, N.Y. (1982).
  3. K.K. Likharev, Dynamics of Josephson Junctions and Circuits, Gordon and Breach, N.Y. (1986).
  4. M. Octavio, M. Tinkham, G. E. Blonder, and T.M. Klapwijk, Phys. Rev. B 27, 6739 (1983).
  5. U. Gunsenheimer and A.D. Zaikin, Phys. Rev. B 50, 6317 (1994).
  6. D. Averin and A. Bardas, Phys. Rev. Lett. 75, 1831 (1995).
  7. D. Averin and A. Bardas, Phys. Rev. B 53, R1705 (1996).
  8. E. Bocquillon, J. Wiedenmann, R. S. Deacon, T.M. Klapwijk, H. Buhmann, and L.W. Molenkamp, Microwave studies of the fractional Josephson effect in HgTe-based Josephson junctions, in Topological Matter, ed. by D. Bercioux, J. Cayssol, M. Vergniory, and M. Reyes Calvo, Springer Series in Solid-State Sciences, Springer, Cham, Switzerland (2018), v. 190, p. 115.
  9. M.C. Dartiailh, J. J. Cuozzo, B.H. Elfeky, W. Mayer, J. Yuan, K. S. Wickramasinghe, E. Rossi, and J. Shabani, Nat. Comm. 12, 78 (2021).
  10. P. Zhang, S. Mudi, M. Pendharkar, J. S. Lee, C. P. Dempsey, A.P. McFadden, S.D. Harrington, J.T. Dong, H. Wu, A.-H. Chen, M. Hocevar, C. J. Palmstrøm, and S.M. Frolov, arXiv:2211.08710v1.
  11. A.V. Galaktionov and A.D. Zaikin, Phys. Rev. B 104, 054521 (2021).
  12. J.C. Cuevas, A. Mart'ın-Rodero, and A. Levy Yeyati, Phys. Rev. B 54, 7366 (1996).
  13. I.O. Kulik and A.N. Omel'yanchuk, Fizika Nizkikh Temperatur 3, 945 (1977)
  14. Sov. J. Low Temp. Phys. 3, 459 (1977).
  15. A.V. Galaktionov and A.D. Zaikin, Phys. Rev. B 107, 214507 (2023).

Supplementary files

Supplementary Files
Action
1. JATS XML
Download

Copyright (c) 2023 Российская академия наук