Theory of Josephson Effect in Diffusive d-WAVE Junctions

Physics – Condensed Matter – Superconductivity

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Scientific paper

We study the Josephson effect in d-wave superconductor / diffusive normal metal / d-wave superconductor junctions by solving the Usadel equation, changing the magnitude of the resistance and Thouless energy in the diffusive normal metal, the transparencies of the insulating barriers at the interfaces and the angles between the normal to the interfaces and the crystal axis of d-wave superconductors. We find that, in contrast to the case of conventional s-wave junctions, the product of the Josephson current and the normal state resistance is enhanced with the decrease of transparency of the interface. In the presence of midgap Andreev resonant states (MARS), the Josephson current has a nonmonotonic temperature dependence due to the competition between the proximity effect and the MARS.

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