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On the emergence of superconductivity and hysteresis in a cylindrical type I superconductor

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Abstract

One-dimensional vortex-free solutions of the system of Ginzburg-Landau equations (the so-called precursor states) are studied. These states describe the emergence of superconductivity in a long cylindrical type I superconductor, which was initially in the supercooled normal state in a magnetic field, and are formed upon subsequent reduction of the external field. The precursor states are responsible for the magnetic hysteresis in type I superconductors (for which κ < κc, where κc (R) is the critical value of the parameter κ in the Ginzburg-Landau theory, which is a function of radius). The range of fields is determined in which precursor states exist along with the Meissner state (and a hysteresis is possible) in the dependence of the cylinder radius R and parameter κ.

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  1. Lebedev Physical Institute, Russian Academy of Sciences, Leninskii pr. 53, Moscow, 119991, Russia

    G. F. Zharkov

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__________

Translated from Zhurnal Éksperimental’no\(\overset{\lower0.5em\hbox{$\smash{\scriptscriptstyle\smile}$}}{l} \) i Teoretichesko\(\overset{\lower0.5em\hbox{$\smash{\scriptscriptstyle\smile}$}}{l} \) Fiziki, Vol. 122, No. 3, 2002, pp. 600–609.

Original Russian Text Copyright © 2002 by Zharkov.

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Zharkov, G.F. On the emergence of superconductivity and hysteresis in a cylindrical type I superconductor. J. Exp. Theor. Phys. 95, 517–525 (2002). https://doi.org/10.1134/1.1513826

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