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Conference paper

Stationary states and dynamics of superconducting thin films

By Ögren, Magnus1; Sørensen, Mads Peter1,2; Pedersen, Niels Falsig1

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Department of Mathematics, Technical University of Denmark1

Dynamical systems, Department of Mathematics, Technical University of Denmark2

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.

Language: English
Year: 2011
Proceedings: 7.th International Conference on Vortex Matter in Nanostructured Superconductors
Types: Conference paper
ORCIDs: Sørensen, Mads Peter

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