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

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

2000-06-02

arxiv.org/abs/cond-mat/0006033v1

Physics

Condensed Matter

Superconductivity

Submitted for Physical Review Letters. 5 figures, 4 pages, 2 column format

Scientific paper

A closed superconducting circuit containing an odd number of $\pi$-junctions, a $\pi$-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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