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arXiv 0709.1086cond-mat.supr-con
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超导环的磁通饱和数

Flux saturation number of superconducting rings

D. V. Denisov, D. V. Shantsev, Y. M. Galperin, T. H. Johansen

摘要:

通过求解伦敦方程,计算了薄膜超导环中的电流和磁场分布。空穴俘获磁通量的最大值,即类磁通饱和数,是通过限制电流密度而得到的。将所得结果与长空心圆柱体的大体积情况下得到的类似结果[Nordborg & Vinokur,Phys.Rev.B62,12408(2000)]进行了比较。在小孔的限制下,我们的结果简化为薄膜中孤立涡旋的Pearl解。对于大孔洞半径,块体和薄膜超导体中的饱和数之比与孔洞尺寸的平方根成正比。

英文摘要:

The distributions of electrical current and magnetic field in a thin-film superconductor ring is calculated by solving the London equation. The maximum amount of flux trapped by the hole, the fluxoid saturation number, is obtained by limiting the current density by the depairing current. The results are compare it with similar results derived for the bulk case of a long hollow cylinder [Nordborg & Vinokur, Phys. Rev. B 62, 12408 (2000)]. In the limit of small holes our result reduces to the Pearl solution for an isolated vortex in a thin film. For large hole radius, the ratio between saturation numbers in bulk and film superconductors is proportional to the square root of the hole size.

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