Skip to main content
SpringerLink
Log in

Intrinsic Quantum Dissipation in Superconducting Weak Links

  • Original Paper
  • Published:
Journal of Superconductivity and Novel Magnetism Aims and scope Submit manuscript

Abstract

We evaluate the frequency spectrum for an intrinsic quantum dissipative environment for the Josephson phase φ formed by subgap Andreev bound states in superconducting weak links. We also analyze the problem of macroscopic quantum tunneling (MQT) of φ in highly transparent weak links and identify several MQT regimes. Within the exponential accuracy, we derive the expression for the supercurrent quantum decay rate both at low temperatures and in the vicinity of the quantum-to-classical crossover.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Fig. 1
Fig. 2
Fig. 3
Fig. 4

Similar content being viewed by others

References

  1. Schön, G., Zaikin, A.D.: Quantum coherent effects, phase transitions and the dissipative dynamics of ultra small tunnel junctions. Phys. Rep. 198, 237 (1990)

    Article  ADS  Google Scholar 

  2. Galaktionov, A.V., Golubev, D.S., Zaikin, A.D.: Andreev levels as a quantum dissipative environment. arXiv:1705.06029v1 (2017)

  3. Zaikin, A.D.: Influence of coulomb and proximity effects on electron tunneling through normal metal-superconductor interfaces. Phys. B 203, 255 (1994)

    Article  ADS  Google Scholar 

  4. Galaktionov, A.V., Zaikin, A.D.: Fluctuations of the Josephson current and electron-electron interactions in superconducting weak links. Phys. Rev. B 82, 184520 (2010)

    Article  ADS  Google Scholar 

  5. Galaktionov, A.V., Zaikin, A.D.: Effective action theory of Andreev level spectroscopy. Phys. Rev. B 92, 214511 (2015)

    Article  ADS  Google Scholar 

  6. Caldeira, A., Leggett, A.: Quantum tunnelling in a dissipative system. Ann. Phys. 149, 374 (1983)

    Article  ADS  MATH  Google Scholar 

  7. Weiss, U.: Quantum Dissipative Systems. World Scientific, Singapore (2008)

    Book  MATH  Google Scholar 

  8. Lee, G.H., et al.: Ultimately short ballistic vertical graphene josephson junctions. Nat. Commun. 6, 6181 (2015)

    Article  Google Scholar 

  9. Galetti, L., et al.: IEEE Trans. Appl. Supercond. 27, 1800404 (2017)

    Google Scholar 

  10. Spanton, E.M., et al.: Current-phase relations of few-mode InAs nanowire Josephson junctions. arXiv:1701.01188v1 (2017)

  11. Larkin, A.I., Ovchinnikov, Y.N.: Quantum tunnelling with dissipation. JETP Lett. 37, 382 (1983)

    ADS  Google Scholar 

  12. Grabert, H., Weiss, U.: Crossover from thermal hopping to quantum tunneling. Phys. Rev. Lett. 53, 1787 (1984)

    Article  ADS  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. I.E. Tamm Department of Theoretical Physics, P.N. Lebedev Physical Institute, 119991, Moscow, Russia

    Artem V. Galaktionov & Andrei D. Zaikin

  2. Low Temperature Laboratory, Department of Applied Physics, Aalto University, Espoo, Finland

    Dmitry S. Golubev

  3. Institute of Nanotechnology, Karlsruhe Institute of Technology (KIT), 76021, Karlsruhe, Germany

    Andrei D. Zaikin

Authors
  1. Artem V. Galaktionov
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Dmitry S. Golubev
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Andrei D. Zaikin
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Artem V. Galaktionov.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Galaktionov, A.V., Golubev, D.S. & Zaikin, A.D. Intrinsic Quantum Dissipation in Superconducting Weak Links. J Supercond Nov Magn 31, 715–721 (2018). https://doi.org/10.1007/s10948-017-4318-8

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10948-017-4318-8

Keywords

Search

Navigation