On the Josephson Coupling between a disk of one superconductor and a surrounding superconducting film of a different symmetry

Abstract

A cylindrical Josephson junction with a spatially dependent Josephson coupling which averages to zero is studied in order to model the physics of a disk of d-wave superconductor embedded in a superconducting film of a different symmetry. It is found that the system always introduces Josepshon vortices in order to gain energy at the junction. The critical current is calculated. It is argued that a recent experiment claimed to provide evidence for s-wave superconductivity in $YB{a}_{2}C{u}_3{O}_7$ may also be consistent with d-wave superconductivity. Figures available from the author on request.

10 pages, revtex3.0, TM-11111-940321-16

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• Josephson tunneling in high-$T_c$ superconductors
• Observation of the second harmonic in superconducting current-phase relation of Nb/Au/(001)YBa2Cu3Ox heterojunctions
• Orthorhombically Mixed s and d${}_{x^2-y^2}$ Wave Superconductivity and Josephson Tunneling
• Fractional vortices on grain boundaries --- the case for broken time reversal symmetry in high temperature superconductors
• Pinhole junctions in d-wave superconductors
• Asymmetric magnetic interference patterns in 0-pi Josephson junctions
• Test Experiment for Time-Reversal Symmetry Breaking Superconductivity
• Fractional vortices in the XY model with $\pi$ bonds