Self-consistent Ginzburg-Landau theory for transport currents in superconductors
M. Ogren, M. P. Soerensen, N. F. Pedersen
TL;DR
This paper develops a self-consistent Ginzburg-Landau theory for superconductors with transport currents, implementing it via finite element methods to analyze boundary conditions and numerical results in 2D geometries.
Contribution
It introduces a self-consistent approach to Ginzburg-Landau theory for transport currents, adaptable to complex 3D geometries, using finite element methods.
Findings
Numerical results for 2D rectangular geometries
Boundary conditions for external currents in GL theory
Potential extension to 3D superconductors
Abstract
We elaborate on boundary conditions for Ginzburg-Landau (GL) theory in the case of external currents. We implement a self-consistent theory within the finite element method (FEM) and present numerical results for a two-dimensional rectangular geometry. We emphasize that our approach can in principle also be used for general geometries in three-dimensional superconductors.
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