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Multiplet supercurrent in Josephson tunneling circuits

by André Melo, Valla Fatemi, Anton R. Akhmerov

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Submission summary

Authors (as registered SciPost users): Anton Akhmerov · Valla Fatemi · André Melo
Submission information
Preprint Link:  (pdf)
Code repository:
Date accepted: 2021-11-10
Date submitted: 2021-10-07 10:47
Submitted by: Melo, André
Submitted to: SciPost Physics
Ontological classification
Academic field: Physics
  • Condensed Matter Physics - Theory
  • Quantum Physics
Approach: Theoretical


The multi-terminal Josephson effect allows DC supercurrent to flow at finite commensurate voltages. Existing proposals to realize this effect rely on nonlocal Andreev processes in superconductor-normal-superconductor junctions. However, this approach requires precise control over microscopic states and is obscured by dissipative current. We show that standard tunnel Josephson circuits also support multiplet supercurrent mediated only by local tunneling processes. Furtheremore, we observe that the supercurrents persist even in the high charging energy regime in which only sequential Cooper transfers are allowed. Finally, we demonstrate that the multiplet supercurrent in these circuits has a quantum geometric component that is distinguinshable from the well-known adiabatic contribution.

Published as SciPost Phys. 12, 017 (2022)

List of changes

- Added analytical expression of the classical quartet supercurrent
- Computed quartet current-phase relation with and without Berry curvature contribution
- Clarified quantity plotted in Fig. 3b
- Extended discussion about connection with SNS experiments

Reports on this Submission

Anonymous Report 2 on 2021-11-3 (Invited Report)


The authors have responded to all remarks made by all referees. I can wholeheartedly recommend its publication.

  • validity: high
  • significance: high
  • originality: good
  • clarity: top
  • formatting: excellent
  • grammar: good

Report 1 by Regis Melin on 2021-10-15 (Invited Report)


The authors convincingly answered my comments. The manuscript is important to the field and will certainly inspire future works. I am glad to recommend publication.

  • validity: -
  • significance: -
  • originality: -
  • clarity: -
  • formatting: -
  • grammar: -

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