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Nonlocal electrodynamics of long ultra-narrow Josephson junctions: Experiment and theory

A. A. Abdumalikov Jr·V. V. Kurin·C. Helm·A. De Col·Y. Koval·A. V. Ustinov
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Abstract

We experimentally and theoretically investigate electromagnetic cavity modes in ultra-narrow Al-AlO$_x$-Al and Nb-AlO$_x$-Nb long Josephson junctions. Experiments show that the voltage spacing between the Fiske steps on the current-voltage characteristics of sub-$μ$m wide and several hundred $μ$m long Al-AlO$_x$-Al and Nb-AlO$_x$-Nb Josephson junctions increases when decreasing the width of a junction. This effect is explained by stray magnetic fields, which become important for narrow junctions. Theoretical estimates of the Fiske step voltage based on a nonlocal wave propagation equation are in good agreement with our experimental data. Using the nonlocal model, we determine the size and mass of a Josephson vortex by means of a variational approach, and relate vortex size to the experimentally measured critical magnetic field of the junction.

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A. A. Abdumalikov Jr, V. V. Kurin, C. Helm, A. De Col, Y. Koval, A. V. Ustinov. 2004-11-23. Nonlocal electrodynamics of long ultra-narrow Josephson junctions: Experiment and theory. https://arxiv.org/abs/cond-mat/0411573

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