Magnetic-field and current-density distributions in thin-film superconducting rings and disks

Details Magnetic-field and current-density distributions in thin-film superconducting rings and disks Magnetic-field and current-density distributions in thin-film superconducting rings and disks

2003-06-23

arxiv.org/abs/cond-mat/0306585v1

Phys. Rev. B 68, 174514 (2003)

Physics

Condensed Matter

Superconductivity

10 pages, 13 figures

Scientific paper

10.1103/PhysRevB.68.174514

We show how to calculate the magnetic-field and sheet-current distributions for a thin-film superconducting annular ring (inner radius a, outer radius b, and thickness d< d/2, the two-dimensional screening length obeys Lambda = 2 lambda^2/d << a for the following cases: (a) magnetic flux trapped in the hole in the absence of an applied magnetic field, (b) zero magnetic flux in the hole when the ring is subjected to an applied magnetic field, and (c) focusing of magnetic flux into the hole when a magnetic field is applied but no net current flows around the ring. We use a similar method to calculate the magnetic-field and sheet-current distributions and magnetization loops for a thin, bulk-pinning-free superconducting disk (radius b) containing a dome of magnetic flux of radius a when flux entry is impeded by a geometrical barrier.

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