An effective lowest Landau level treatment of demagnetization in superconducting mesoscopic disks

Abstract

Demagnetization, which is inherently present in the magnetic response of small finite-size superconductors, can be accounted for by an effective $κ$ within a two-dimensional lowest Landau level approximation of the Ginzburg-Landau functional. We show this by comparing the equilibrium magnetization of superconducting mesoscopic disks obtained from the numerical solution of the three-dimensional Ginzburg-Landau equations with that obtained in the ``effective'' LLL approximation.

5 pages, 4 figures, submitted to Phys. Rev. B