Vortex state of d-wave superconductors in the Ginzburg-Landau energy

Fanghua Lin, Tai Chia Lin

Research output: Contribution to journalArticlepeer-review


We find a minimizer of a reduced form of the Ginzburg-Landau free energy for d-wave superconductors having distinct degree-one vortices. For a single vortex in the vortex core, we analytically recover the vortex structure with fourfold symmetry.

Original languageEnglish (US)
Pages (from-to)493-503
Number of pages11
JournalSIAM Journal on Mathematical Analysis
Issue number3
StatePublished - 2000


  • Ginzburg-Landau energy
  • Superconductor
  • Vortex
  • d-wave

ASJC Scopus subject areas

  • Analysis
  • Computational Mathematics
  • Applied Mathematics


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