1304.8081 (N. Schlömer et al.)

Exploration of stable and unstable vortex patterns in a superconductor
under a magnetic disc    [PDF]

N. Schlömer, M. V. Miloševıć, Bart Partoens, Wim Vanroose

The stable and unstable solutions of a square 2D extreme type-II superconductor are studied in the field of a magnetic disc. We use a preconditioned Newton-Krylov solver to find the solutions and use numerical continuation to track the solutions as the field strength varies. For a disc with a small radius, we have identified generic scenarios through which the state loses and regains its stability.

View original: http://arxiv.org/abs/1304.8081