A quantitative model for IcR product in d-wave Josephson junctions
Abstract
We study theoretically the Josephson effect in d-wave superconductor / diffusive normal metal /insulator/ diffusive normal metal/ d-wave superconductor (D/DN/I/DN/D) junctions. This model is aimed to describe practical junctions in high-TC cuprate superconductors, in which the product of the critical Josephson current (IC) and the normal state resistance (R) (the so-called I CR product) is very small compared to the prediction of the standard theory. We show that the I CR product in D/DN/I/DN/D junctions can be much smaller than that in d-wave superconductor / insulator / d-wave superconductor junctions and formulate the conditions necessary to achieve large I CR product in D/DN/I/DN/D junctions. The proposed theory describes the behavior of I CR products quantitatively in high-T C cuprate junctions.
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