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

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

2008-07-31

arxiv.org/abs/0807.5129v1

Journal of Superconductivity and Novel Magnetism 21, 343-352 (2008)

Physics

Condensed Matter

Superconductivity

10 pages, 3 figures, 4 appendices, submitted to the Journal of Superconductivity and Novel Magnetism for an issue commemoratin

Scientific paper

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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