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arXiv 2000-06-02 0 views

Frustration in d-wave Superconducting Circuits: π-Ring Behaviour

Hogan-O'Neill, J. J. · Annett, J. F. · Martin, A. M.

Original · EN

A closed superconducting circuit containing an odd number of π-junctions, a π-ring, has a finite current in the ground state. We explicitly construct such rings for d-wave superconductors and demonstrate the existence of spontaneous currents by direct self-consistent solutions to the Bogoliubov de Gennes equations. We show that the current has a topological origin due to the frustration of the d-wave order parameter, which is only partially explained by the Sigrist-Rice tunneling formula.

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