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arXiv · 1802.09390

On the first critical field in the 3D Ginzburg-Landau model of superconductivity

Carlos Román
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Abstract

The Ginzburg-Landau model is a phenomenological description of superconductivity. A crucial feature of type-II superconductors is the occurrence of vortices, which appear above a certain value of the applied magnetic field called the first critical field. In this paper we estimate this value, when the Ginzburg-Landau parameter is large, and we characterize the behavior of the Meissner solution, the unique vortexless configuration that globally minimizes the Ginzburg-Landau energy below the first critical field. In addition, we show that beyond this value, for a certain range of the strength of the applied field, there exists a unique Meissner-type solution that locally minimizes the energy.

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Carlos Román. 2018-02-26. On the first critical field in the 3D Ginzburg-Landau model of superconductivity. https://doi.org/10.1007/s00220-019-03306-w

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