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Published on Jun 6, 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 35% of upper critical field. At smaller fields magnetic vortices enter superconductor from open boundaries and form Abrikosov lattice. At higher fields magnetic vortices start to merge and the suppression of the superconductivity occur. However, in this regime one observes somewhat larger order parameter near open boundaries.
Shown is the squared order parameter |ψ|² from two-dimensional time-dependent Ginzburg-Landau (TDGL) simulations.