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

G. F. Zharkov·V. G. Zharkov·A. Yu. Zvetkov
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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 H_s, 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 H_s 1/sqrt{2}). The paramagnetic effect in mesoscopic samples and also the possible connection of the theory and experiment are shortly discussed.

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G. F. Zharkov, V. G. Zharkov, A. Yu. Zvetkov. 2000-08-15. Self-consistent solutions of Ginzburg-Landau equations and superconducting edge-suppressed states in magnetic field. https://arxiv.org/abs/cond-mat/0008217

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