2005/06/06 by Ernst Helmut Brandt · 3 citations
Engineering · Physics and Astronomy · #Magnetic properties of thin films #Physics of Superconductivity and Magnetism #Superconducting Materials and Applications #cond-mat.supr-con
paper · pdf · doi:10.1103/physrevb.72.024529
12 pages, 10 figures
arxiv created 2005/06/06 · openalex publication_date 2005/07/18 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
It is shown how the static and dynamic electromagnetic properties can be calculated for thin flat superconducting films of any shape and size, also multiply connected as used for superconducting quantum interference devices, and for any value of the effective magnetic London penetration depth \ensuremathΛ. As examples, the distributions of sheet current and magnetic field are obtained for rectangular and circular films without and with slits and holes, in response to an applied perpendicular magnetic field and to magnetic vortices moving in the film. The self-energy and interaction of vortices with each other and with an applied magnetic field and/or transport current are given. Due to the long-ranging magnetic stray field, these energies depend on the size and shape of the film and on the vortex position even in large films, in contrast to the situation in large bulk superconductors. The focusing of magnetic flux into the central hole of square films without and with a radial slit is compared.