Dual point description of mesoscopic superconductors

E Akkermans, Dimitri Gangardt, K Mallick

Research output: Contribution to journalArticle

20 Citations (Scopus)


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 (kappa = 1/root2). 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 pet-formed on mesoscopic aluminum disks.
Original languageEnglish
Pages (from-to)12427-12439
Number of pages13
JournalPhysical Review B
Issue number18
Publication statusPublished - 1 Nov 2000


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