A dual point description of mesoscopic superconductors

E. Akkermans; D. M. Gangardt; K. Mallick

doi:10.1103/physrevb.62.12427

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A dual point description of mesoscopic superconductors

E. Akkermans·D. M. Gangardt·K. Mallick

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Abstract

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 $(κ= \frac{1}{\sqrt{2}}).$ 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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E. Akkermans, D. M. Gangardt, K. Mallick. 2000-06-05. A dual point description of mesoscopic superconductors. https://doi.org/10.1103/physrevb.62.12427

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