The Distribution of Superconductivity Near a Magnetic Barrier

Wafaa Assaad, Ayman Kachmar, Mikael Persson-Sundqvist

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9 Citations (SciVal)

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.

Original languageEnglish
Pages (from-to)269-332
JournalCommunications in Mathematical Physics
Volume366
Issue number1
Early online date2019 Feb 6
DOIs
Publication statusPublished - 2019

Subject classification (UKÄ)

  • Other Physics Topics
  • Mathematics

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