in the Fraunhofer oscillations of an edge-channel

2015 
Ic / j cos(e =~) + fj, withjfj 1 proportional to the probability for phase-coherent inter-edge transmission. Because the sign of f depends on microscopic details, a sample-dependent inversion of the alternation of large and small peaks is a distinctive feature of the beating mechanism for the even-odd eect. Superconductor{normal-metal{superconductor (SNS) junctions with edge channel conduction in the normal region are governed by the interplay of charge e and charge 2e transport: Charge can only enter or exit the superconductor in units of 2e, but in the normal region this Cooper pair can be split over opposite edges, when an electron incident on the NS interface along one edge is Andreev reected as a hole along the opposite edge. For quantum Hall edge channels this mechanism produces Fraunhofer oscillations (oscillations of the critical current with enclosed ux
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