# Corbino-geometry Josephson weak links in thin superconducting films

Title | Corbino-geometry Josephson weak links in thin superconducting films |

Publication Type | Journal Article |

Year of Publication | 2010 |

Authors | Clem JR |

Journal Title | Physical Review B |

Volume | 82 |

Pages | 174515 |

Date Published | 11 |

Type of Article | Article |

ISBN Number | 1098-0121 |

Accession Number | WOS:000293784900005 |

Keywords | barriers, JUNCTIONS, nonlocal interaction, phase |

Abstract | I consider a Corbino-geometry superconducting-normal-superconducting Josephson weak link in a thin superconducting film, in which current enters at the origin, flows outward, passes through an annular Josephson weak link, and leaves radially. In contrast to sandwich-type annular Josephson junctions, in which the gauge-invariant phase difference obeys the sine-Gordon equation, here the gauge-invariant phase difference obeys an integral equation. I present exact solutions for the gauge-invariant phase difference across the weak link when it contains an integral number N of Josephson vortices and the current is zero. I then study the dynamics when a current is applied, and I derive the effective resistance and the viscous drag coefficient; I compare these results with those in sandwich-type junctions. I also calculate the critical current when there is no Josephson vortex in the weak link but there is a Pearl vortex nearby. |

DOI | 10.1103/PhysRevB.82.174515 |

Alternate Journal | Phys. Rev. B |