Abstract
We solve numerically the nonlinear TDGL equations to study the vortex dynamics in a mesoscopic type II cylinder superconductor containing one rectangular hole in the presence of an external field applied perpendicular to the surfaces. We calculate the spatial distribution of the superconducting electron density and the phase of the superconducting order parameter using the numerical method based on the technique of gauge invariant variables. It is assumed that the inner hole edge is in contact with a material whose properties are accounted in the de Gennes boundary conditions with a parameter b (de Gennes extrapolation length), while the outer edge is in contact with vacuum. The dynamics of different vortex states and the magnetization curves are studied as a function of the external magnetic field.
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