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Non-linear transport properties of superconducting nanostructures

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  • Physics


By solving the Bogoliubov-de Gennes equation seIf-consistently, we compute transport properties of a one dimensional superconducting island with a delta-function normal scatterer at the centre. The calculated I-V characteristics show significant structure, arising from the competition between scattering processes at the boundaries of the island and modification of the order parameter by quasi-particles and superflow. At a certain critical current, the order parameter exhibits a quasi-first-order transition to the normal state, smeared by the finite system size. At this point, the differential conductance is negative and can have a magnitude greater than 2e(2)/h, despite the fact that there is only a single scattering channel.

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