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

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

doi:10.1088/1361-6668/ac2d79

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 journal › Article › Academic › peer-review

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Abstract

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 language	English
Article number	115022
Journal	Superconductor science and technology
Volume	34
Issue number	11
Early online date	18 Oct 2021
DOIs	https://doi.org/10.1088/1361-6668/ac2d79
Publication status	Published - 1 Nov 2021

Keywords

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

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title = "Selfconsistent 3D model of SN-N-NS Josephson junctions",

abstract = "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.",

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

author = "V. Bosboom and {van der Vegt}, J.J.W. and {Yu Kupriyanov}, M. and A.A. Golubov",

note = "Publisher Copyright: {\textcopyright} 2021 The Author(s). Published by IOP Publishing Ltd.",

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AU - Bosboom, V.

AU - van der Vegt, J.J.W.

AU - Yu Kupriyanov, M.

AU - Golubov, A.A.

PY - 2021/11/1

Y1 - 2021/11/1

N2 - 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.

AB - 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.

KW - UT-Hybrid-D

KW - Density of states

KW - Finite element method (FEM)

KW - Proximity effect

KW - Superconductivity

KW - Usadel equations

KW - Critical current

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DO - 10.1088/1361-6668/ac2d79

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JO - Superconductor science and technology

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

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