Dual point description of mesoscopic superconductors
E. Akkermans, D. M. Gangardt, K. Mallick
DOI 10.1103/PhysRevB.62.12427 · Physical Review B
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Abstract
We present an analysis of the magnetic response of a mesoscopic superconductor, i.e., a superconducting sample of dimensions 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=1/2). 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 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 aluminum disks.
Source-reported materials — not catalogue approval
| Formula | Reported Tc (K) | Pressure (GPa) | Type |
|---|---|---|---|
| Al Archive — visibility unverified Source-occurrence policy only; no material identity or catalogue acceptance is inferred from the formula. | — | Pressure not reported | unknown |
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