Vortices in small superconducting disks

Details Vortices in small superconducting disks Vortices in small superconducting disks

2000-01-16

arxiv.org/abs/cond-mat/0001219v1

Physics

Condensed Matter

Superconductivity

4 pages, to be published in Physica C (Superconductivity)

Scientific paper

10.1016/S0921-4534(99)00680-2

We study the Ginzburg-Landau equations in order to describe a two-dimensional superconductor in a bounded domain. Using the properties of a particular integrability point ($\kappa = 1/ \sqrt2$) of these nonlinear equations which allows vortex solutions, we obtain a closed expression for the energy of the superconductor. The presence of the boundary provides a selection mechanism for the number of vortices. A perturbation analysis around $\kappa = 1/ \sqrt2$ enables us to include the effects of the vortex interactions and to describe quantitatively the magnetization curves recently measured on small superconducting disks. We also calculate the optimal vortex configuration and obtain an expression for the confining potential away from the London limit.

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