Vortex trapping and expulsion in thin-film YBCO strips
K.H. Kuit, J.R. Kirtley, W. van der Veur, C.G. Molenaar, F.J.G., Roesthuis, A.G.P. Troeman, J.R. Clem, H. Hilgenkamp, H. Rogalla, J., Flokstra

TL;DR
This study uses scanning SQUID microscopy to investigate vortex trapping and expulsion in thin-film YBCO strips, developing a model that accurately predicts vortex density and observing vortex arrangements at various densities.
Contribution
The paper introduces a simple, predictive model for vortex exclusion and trapping in YBCO strips, validated by experimental data and applicable to other superconducting materials.
Findings
Vortices are excluded below a critical induction Bc.
The model predicts vortex density as n=(Ba-BK)/Phi0, matching experiments.
Vortices form ordered rows at higher densities.
Abstract
A scanning SQUID microscope was used to image vortex trapping as a function of the magnetic induction during cooling in thin-film YBCO strips for strip widths W from 2 to 50 um. We found that vortices were excluded from the strips when the induction Ba was below a critical induction Bc. We present a simple model for the vortex exclusion process which takes into account the vortex - antivortex pair production energy as well as the vortex Meissner and self-energies. This model predicts that the real density n of trapped vortices is given by n=(Ba-BK)/Phi0 with BK = 1.65Phi0/W^2 and Phi0 = h/2e the superconducting flux quantum. This prediction is in good agreement with our experiments on YBCO, as well as with previous experiments on thin-film strips of niobium. We also report on the positions of the trapped vortices. We found that at low densities the vortices were trapped in a single row…
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