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Superconducting order parameter in ramping up magnetic field

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Published on Jun 3, 2017

Dynamics of superconducting order parameter in 2D square superconductor at finite temperature. Two boundaries are open and another two are quasi-periodic.

1) At the first stage order parameter relaxes to almost homogeneous steady state in absence of the magnetic field. The noise is a result of Langevin term describing fluctuations due to finite temperature.

2) At the second stage the external magnetic field slowly ramps up to 1% of upper critical field. Magnetic vortices enter superconductor from open boundaries and form Abrikosov lattice with variable density.

Shown is the squared order parameter |ψ|² from two-dimensional time-dependent Ginzburg-Landau (TDGL) simulations.

View from the top: https://youtu.be/HsTwou3AbN4

TDGL solver is described in "Stable large-scale solver for Ginzburg-Landau equations for superconductors" by Ivan A. Sadovskyy, Alexei E. Koshelev, Carolyn L. Phillips, Dmitry A. Karpeyev, Andreas Glatz
https://doi.org/10.1016/j.jcp.2015.04...
https://arxiv.org/abs/1409.8340

More information: http://oscon-scidac.org/

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