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Self-consistent solutions of Ginzburg-Landau equations and superconducting edge-suppressed states in magnetic field

2000/08/15 by G. F. Zharkov, Zharkov, G. F., V. G. Zharkov +3
Materials Science · Physics and Astronomy · #FOS: Physical sciences #Iron-based superconductors research #Magnetic properties of thin films #Physics of Superconductivity and Magnetism #Superconductivity (cond-mat.supr-con) #cond-mat.supr-con

paper · pdf · doi:10.48550/arxiv.cond-mat/0008217

11 pages, 14 figures, RevTex, submitted to Phys. Rev. B

arxiv created 2000/08/15 · openalex publication_date 2000/08/15 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

Self-consistent solutions of the Ginzburg-Landau system of equations, which describe the order parameter and the magnetic field distribution in a long superconducting cylinder of finite radius R, in external magnetic field H, when vortex line, carrying m flux quanta, is situated on the cylinder axis (a giant m-vortex state), are studied numerically. If the field H exceeds some critical value Hs, the giant m-vortex solution becomes unstable and passes to a new stable edge-suppressed form. The quantum number m in this state does not change, but the order parameter diminishes by a jump (almost to zero) near the cylinder surface; however, superconductivity remains in the deep, at some distance from a cylinder axis. This edge-suppressed state exist in the fields Hs 1/sqrt2). The paramagnetic effect in mesoscopic samples and also the possible connection of the theory and experiment are shortly discussed.

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