Limiting jump conditions for Josephson junctions in Ginzburg-Landau theory

Details Limiting jump conditions for Josephson junctions in Ginzburg-Landau theory Limiting jump conditions for Josephson junctions in Ginzburg-Landau theory

2007-10-05

arxiv.org/abs/0710.1290v3

Mathematics

Analysis of PDEs

27 pages

Scientific paper

We consider a superconducting/normal/superconducting Josephson junction
modeled through the Ginzburg-Landau theory. When the normal material is
sufficiently thin and the applied magnetic field is below the critical field of
vortex nucleation, we prove to leading order that jump boundary conditions of
the type predicted by de Gennes are satisfied across the junction.

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