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arXiv · 0807.5129

Geometrical barriers and the growth of flux domes in thin ideal superconducting disks

John R. Clem
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Abstract

When an ideal (no bulk pinning) flat type-II superconducting disk is subjected to a perpendicular magnetic field H_a, the first vortex nucleates at the rim when H_a = H_0, the threshold field, and moves quickly to the center of the disk. As H_a increases above H_0, additional vortices join the others, and together they produce a domelike field distribution of radius b. In this paper I present analytic solutions for the resulting magnetic-field and sheet-current-density distributions. I show how these distributions vary as b increases with H_a, and I calculate the corresponding field-increasing magnetization.

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John R. Clem. 2008-07-31. Geometrical barriers and the growth of flux domes in thin ideal superconducting disks. https://arxiv.org/abs/0807.5129

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