Selfconsistent 3D model of SN-N-NS Josephson junctions

V. Bosboom*, J.J.W. van der Vegt, M. Yu Kupriyanov, A.A. Golubov

*Corresponding author for this work

Research output: Contribution to journalArticleAcademicpeer-review

3 Citations (Scopus)
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We develop a quantitative model describing the distribution of the supercurrent density and density of states in SN-N-NS type Josephson junctions in three dimensions (S is a superconductor and N is a normal metal). The model is based on the self-consistent solution of the quasiclassical Usadel equations using the finite element method. We investigate the influence of the proximity effect on the properties of the junction as a function of phase difference across the structure for various spatial dimensions and material parameters of S, N metals. The results are consistent with analytical solutions in the thin N layer limit and show consistent behavior for a large range of junction parameters. The results may serve to design nanoscale Josephson junctions for use in superconducting digital circuits.
Original languageEnglish
Article number115022
JournalSuperconductor science and technology
Issue number11
Early online date18 Oct 2021
Publication statusPublished - 1 Nov 2021


  • UT-Hybrid-D
  • Density of states
  • Finite element method (FEM)
  • Proximity effect
  • Superconductivity
  • Usadel equations
  • Critical current


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