On the Meissner state for type-II inhomogeneous superconductors

2024/10/29 by Matías Díaz-Vera, Díaz-Vera, Matías, Carlos Román +1 · 2 citations
Physics and Astronomy · #Rare-earth and actinide compounds #Physics of Superconductivity and Magnetism #Topological Materials and Phenomena

paper · pdf · doi:10.48550/arxiv.2410.22438

Abstract

We consider extreme type-II superconductors modeled by the Ginzburg--Landau energy with a pinning term a_ε(x), which we assume to be a bounded measurable function such that b≤ a_ε(x)≤ 1 for some constant b>0. A crucial feature of this type of superconductors is the occurrence of vortices, which appear above the so-called first critical field H_c1. In this paper we estimate this value and characterize the behavior of the Meissner solution, the unique vortexless configuration that globally minimizes the energy below H_c1. In addition, we show that beyond this value, for applied fields whose strength is slightly below the so-called superheating field H_sh, there exists a unique Meissner-type solution that locally minimizes the energy.

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• First Critical Field in the pinned three-dimensional Ginzburg--Landau Model: A matching upper bound
• First critical field in the pinned three dimensional Ginzburg-Landau model of superconductivity

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