Geometrical barriers and the growth of flux domes in thin ideal superconducting disks
Abstract
When an ideal (no bulk pinning) flat type-II superconducting disk is subjected to a perpendicular magnetic field Ha, the first vortex nucleates at the rim when Ha = H0, the threshold field, and moves quickly to the center of the disk. As Ha increases above H0, 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 Ha, and I calculate the corresponding field-increasing magnetization.
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