Uniqueness of stable meissner state solutions of the chern-simons-higgs energy

Daniel Spirn, Xiaodong Yan

Research output: Contribution to journalArticle

Abstract

For external magnetic field hex ≤Cε, we prove that a Meissner state solution for the Chern-Simons-Higgs functional exists. Furthermore, if the solution is stable among all vortexless solutions, then it is unique.

Original languageEnglish (US)
Pages (from-to)23-36
Number of pages14
JournalESAIM - Control, Optimisation and Calculus of Variations
Volume16
Issue number1
DOIs
StatePublished - Jan 1 2010

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Keywords

  • Chern-Simons-Higgs theory
  • Meissner solution
  • Superconductivity
  • Uniqueness

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