Edge effects in the magnetic interference pattern of a ballistic SNS junction

Abstract

We investigate the Josephson critical current $I_c(\Phi )$ of a wide superconductor-normal metal-superconductor (SNS) junction as a function of the magnetic flux $\Phi$ threading it. Electronic trajectories reflected from the side edges alter the function $I_c(\Phi )$ as compared to the conventional Fraunhofer-type dependence. At weak magnetic fields, $B\lesssim {\Phi }_0/d^2$, the edge effect lifts zeros in $I_c(\Phi )$ and gradually shifts the minima of that function toward half-integer multiples of the flux quantum. At $B>{\Phi }_0/d^2$, the edge effect leads to an accelerated decay of the critical current $I_c(\Phi )$ with increasing $\Phi$. At larger fields, eventually, the system is expected to cross into a regime of "classical" mesoscopic fluctuations that is specific for wide ballistic SNS junctions with rough edges.

arXiv comment14 pages, 8 figures

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Cited by in corpus (9)

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• Crossed Andreev Reflection in InSb Flake Josephson Junctions
• Tailoring supercurrent confinement in graphene bilayer weak links
• Two-dimensional Josephson vortex lattice and anomalously slow decay of the Fraunhofer oscillations in a ballistic SNS junction with a warped Fermi surface
• Spin-orbit-enhanced robustness of supercurrent in graphene/WS${}_2$ Josephson junctions
• 2${\Phi }_0$-periodic magnetic interference in ballistic graphene Josephson junctions
• Magnetointerferometry of multiterminal Josephson junctions
• Local density of states in clean two-dimensional superconductor--normal metal--superconductor heterostructures
• Ballistic Andreev interferometers