University of Twente Student Theses


Modeling and Analysis of Layer Josephson Junctions

Bosboom, Vincent (2021) Modeling and Analysis of Layer Josephson Junctions.

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Abstract:In this thesis, we develop a quantitative 2D model describing the distribution of the supercurrent density and density of states in SN-N-NS type Josephson junctions. This 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 and the phase difference on the properties of the junction for various spatial dimensions and material parameters of the S and N materials. We show that these results are consistent with analytical solutions in the thin N layer limit and show logical behavior for a large range of junction parameters. We extend our model to the case of a junction with homogeneous in- and outflow current to investigate depairing effects in the superconducting electrodes. Furthermore, we extend our model to ferromagnetic junctions by including the effect of an exchange field, showing spin separation of the density of states and the occurrence of a 0-pi transition. These results may assist in improving the design of nanoscale Josephson junctions for use in superconducting digital circuits.
Item Type:Essay (Master)
Faculty:EEMCS: Electrical Engineering, Mathematics and Computer Science
Subject:31 mathematics, 33 physics
Programme:Applied Mathematics MSc (60348)
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