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Probabilistic analysis of tunability of step-edge josephson junction arrays’ inductance in HTS microwave metamaterials

Alizadeh, A ; Sharif University of Technology | 2021

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  1. Type of Document: Article
  2. DOI: 10.1007/s10948-020-05700-1
  3. Publisher: Springer , 2021
  4. Abstract:
  5. Josephson junction in superconductor circuits and metamaterials is modeled as a tunable inductance. The Josephson inductance is tunable by the bias current passing through it and can be tuned from an initial value to a very large value as much as one can push bias current near the critical current but not exceeding it. Tunability by bias current allows design of programmable metamaterials with flexible functions in microwave regime. In High-Temperature Superconductivity (HTS) tunable metamaterials, Josephson junctions should be used in series configuration to give usable tunable inductance. Each Step-Edge Josephson junction (SEJs) in HTS has a critical current that is dependent on its geometrical dimensions such as the width of the junction. In a practical fabrication process, the widths and critical currents will be distributed with a Gaussian Probability Distribution Function (PDF). This will decrease the tunability of the Josephson inductance of the array. We have calculated the tunability of an array with defined critical current distribution, in terms of probabilistic analysis. © 2020, Springer Science+Business Media, LLC, part of Springer Nature
  6. Keywords:
  7. Bias currents ; Critical currents ; Distribution functions ; Josephson junction devices ; Metamaterials ; Quantum optics ; Superconducting films ; Critical current distribution ; Gaussian probability distributions ; Geometrical dimensions ; High-temperature superconductivity ; Probabilistic analysis ; Programmable metamaterials ; Step-edge josephson junctions ; Tunable metamaterials ; Inductance
  8. Source: Journal of Superconductivity and Novel Magnetism ; Volume 34, Issue 2 , 2021 , Pages 357-364 ; 15571939 (ISSN)
  9. URL: https://link.springer.com/article/10.1007/s10948-020-05700-1