Self-consistent Ginzburg-Landau theory for transport currents in 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.

arXiv comment4 pages, 2 figures, to be published in Physica C

References in corpus (1)

• Dynamics of the superconducting condensate in the presence of a magnetic field. Channelling of vortices in superconducting strips at high currents

Cited by in corpus (3)

• The Dynamics of Magnetic Vortices in Type II Superconductors with Pinning Sites Studied by the Time Dependent Ginzburg-Landau Model
• Numerical solution of the stationary multicomponent nonlinear Schrödinger equation with a constraint on the angular momentum
• Size Dependence in Flux-Flow Hall Effect using Time-Dependent Ginzburg-Landau Equations