Stationary states and dynamics of superconducting thin films

Magnus Ögren, Mads Peter Sørensen, Niels Falsig Pedersen

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    Abstract

    The Ginzburg-Landau (GL) theory is a celebrated tool for theoretical modelling of superconductors [1]. We elaborate on different partial differential equations (PDEs) and boundary conditions for GL theory, formulated within the finite element method (FEM) [2]. Examples of PDEs for the calculation of stationary states with the GL equation and with the time-dependent GL equation are given. Moreover we study real time evolution with the so called Schrödinger-GL equation [3]. For simplicity we here present numerical data for a twodimensional rectangular geometry, but we emphasize that our FEM formulation can handle complex geometries also in a three-dimensional superconducting structure. To include external currents in our modelling we discuss the role of the boundary conditions for the external magnetic field [4]. Finally we show results for the pinning of vortices with controlled impurities.
    Original languageEnglish
    Publication date2011
    Publication statusPublished - 2011
    Event7.th International Conference on Vortex Matter in Nanostructured Superconductors - Rhodes Greece,
    Duration: 1 Jan 2011 → …

    Conference

    Conference7.th International Conference on Vortex Matter in Nanostructured Superconductors
    CityRhodes Greece,
    Period01/01/2011 → …

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