The Distribution of Superconductivity Near a Magnetic Barrier

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Abstract

We consider the Ginzburg–Landau functional, defined on a two-dimensional simply connected domain with smooth boundary, in the situation when the applied magnetic field is piecewise constant with a jump discontinuity along a smooth curve. In the regime of large Ginzburg–Landau parameter and strong magnetic field, we study the concentration of the minimizing configurations along this discontinuity by computing the energy of the minimizers and their weak limit in the sense of distributions.

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  • Lebanese University
Research areas and keywords

Subject classification (UKÄ) – MANDATORY

  • Other Physics Topics
  • Mathematics
Original languageEnglish
JournalCommunications in Mathematical Physics
Publication statusE-pub ahead of print - 2019 Feb 6
Publication categoryResearch
Peer-reviewedYes