Abstract
We study the field dependence of the maximum current ImH in narrow edge-type thin-film Josephson junctions. We calculate ImH within nonlocal Josephson electrodynamics taking into account the stray fields. These fields affect the difference of phases of the order parameter across the junction and therefore the tunneling currents. We find that the phase difference along the junction is proportional to the applied field, depends on the junction geometry, but is independent of the Josephson critical current density, i.e., it is universal. An explicit formula for this universal function is derived and used to calculate ImH. It is shown that the maxima of ImH1 /H and the zeros of ImH are equidistant only in high fields. We find that the spacing between the zeros is proportional to 1 /w 2 , where w is the width of the junction. The general approach is applied to calculate ImH for a superconducting quantum interference device SQUID with two narrow edge-type junctions.
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