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Transitions of I- and II-order in magnetic field for superconducting cylinder from self-consistent solution of Ginzburg-Landau equations

G. F. Zharkov
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Abstract

Basing on self-consistent solution of non-linear GL-equations, the phase boundary is found, which divides the regions of I- and II-order phase transitions of a superconducting cylinder in magnetic field to normal state. This boundary is a complicated function of the parameters (m,R,kappa) (m is the vorticity, R is the cylinder radius, kappa is the GL-parameter), which does not coincide with the simple phase boundary kappa=1/\sqrt{2}, dividing the regions of I- and II-order phase transitions in infinite (open) superconducting systems.

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G. F. Zharkov. 2000-10-04. Transitions of I- and II-order in magnetic field for superconducting cylinder from self-consistent solution of Ginzburg-Landau equations. https://arxiv.org/abs/cond-mat/0010028

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