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Dual relaxation oscillations in a Josephson-junction array
Phys. Rev. Applied 24, 014035 – Published 17 July, 2025
DOI: https://doi.org/10.1103/qvls-7s3q
Abstract
We report relaxation oscillations in a one-dimensional array of Josephson junctions, wherein the array dynamically switches between low-current and high-current states. The oscillations are current-voltage dual to those ordinarily observed in single junctions. The current-voltage dual circuit quantitatively accounts for temporal dynamics of the array, including the dependence on biasing conditions. Injection locking of the oscillations results in well-developed current plateaux. A thermal model explains the self-consistent reduction of the superconducting gap due to overheating of the array in the high-current state. Our work suggests that overheating determines the switching from the high-current state to the low-current state.
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References (11)
- F. L. Vernon and R. J. Pedersen, Relaxation oscillations in Josephson junctions, J. Appl. Phys. 39, 2661 (1968).
- C. B. Whan, C. J. Lobb, and M. G. Forrester, Effect of inductance in externally shunted Josephson tunnel junctions, J. Appl. Phys. 77, 382 (1995).
- S. Mukhopadhyay, J. Senior, J. Saez-Mollejo, D. Puglia, M. Zemlicka, J. M. Fink, and A. P. Higginbotham, Superconductivity from a melted insulator in Josephson junction arrays, Nat. Phys. 19, 1630 (2023).
- P. Ågren, K. Andersson, and D. B. Haviland, Kinetic inductance and coulomb blockade in one dimensional Josephson junction arrays, J. Low Temp. Phys. 124, 291 (2001).
- N. Vogt, R. Schäfer, H. Rotzinger, W. Cui, A. Fiebig, A. Shnirman, and A. V. Ustinov, One-dimensional Josephson junction arrays: Lifting the coulomb blockade by depinning, Phys. Rev. B 92, 045435 (2015).
- K. Cedergren, R. Ackroyd, S. Kafanov, N. Vogt, A. Shnirman, and T. Duty, Insulating Josephson junction chains as pinned Luttinger liquids, Phys. Rev. Lett. 119, 167701 (2017).
- We have checked numerically that this is adequate for small fields.
- M. Tinkham, Introduction to Superconductivity (McGraw-Hill, Inc., Mineola, New York, 1996), 2nd ed., pp. 118–119, 127–131, 390–393.
- F. C. Wellstood, C. Urbina, and J. Clarke, Hot-electron limitation to the sensitivity of the dc superconducting quantum interference device, Appl. Phys. Lett. 54, 2599 (1989).
- J. P. Kauppinen and J. P. Pekola, Electron-phonon heat transport in arrays of Al islands with submicrometer-sized tunnel junctions, Phys. Rev. B 54, R8353 (1996).
- S. Mukhopadhyay, D. Lancheros-Naranjo, J. Senior, and A. Higginbotham, Data for “Dual relaxation oscillations in a Josephson-junction array” (2025), https://doi.org/10.5281/zenodo.15731449.