A dual point description of mesoscopic superconductors

Details A dual point description of mesoscopic superconductors A dual point description of mesoscopic superconductors

2000-05-31

arxiv.org/abs/cond-mat/0005542v2

Physics

Condensed Matter

Superconductivity

revtex, 20 pages, 9 figures

Scientific paper

10.1103/PhysRevB.62.12427

We present an analysis of the magnetic response of a mesoscopic superconductor, i.e. a system of sizes comparable to the coherence length and to the London penetration depth. Our approach is based on special properties of the two dimensional Ginzburg-Landau equations, satisfied at the dual point $(\kappa = \frac{1}{\sqrt{2}}).$ Closed expressions for the free energy and the magnetization of the superconductor are derived. A perturbative analysis in the vicinity of the dual point allows us to take into account vortex interactions, using a new scaling result for the free energy. In order to characterize the vortex/current interactions, we study vortex configurations that are out of thermodynamical equilibrium. Our predictions agree with the results of recent experiments performed on mesoscopic aluminium disks.

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