The influence of magnetic steps on bulk superconductivity
Wafaa Assaad, Ayman Kachmar
TL;DR
This paper investigates how magnetic steps affect bulk superconductivity using Ginzburg-Landau theory, focusing on minimizers in a two-dimensional setting with large Ginzburg-Landau parameters and specific magnetic field intensities.
Contribution
It provides a detailed analysis of the distribution of superconductivity in the presence of magnetic step functions within the Ginzburg-Landau framework, extending understanding of magnetic inhomogeneities.
Findings
Distribution patterns of superconductivity under magnetic steps
Behavior of minimizers with large Ginzburg-Landau parameter
Impact of magnetic field intensity on superconducting states
Abstract
We study the distribution of bulk superconductivity in presence of an applied magnetic field, supposed to be a step function, modeled by the Ginzburg-Landau theory. Our results are valid for the minimizers of the two-dimensional Ginzburg-Landau functional with a large Ginzburg-Landau parameter and with an applied magnetic field of intensity comparable with the Ginzburg-Landau parameter.
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