Vortices in p-wave superconductivity

Fanghua Lin, Tai Chia Lin

Research output: Contribution to journalArticlepeer-review

Abstract

In the theory of p-wave superconductivity, the Ginzburg-Landau energy functionals with multicomponent order parameters were employed. Here we find a minimizer of a reduced form of the p-wave Ginzburg-Landau free energy with two-component order parameters. The minimizer has distinct degree-one (or minus one) vortices in each component. We also derive a system of ordinary differential equations as the motion equations of vortices in the approximated gradient flow for p-wave superconductivity.

Original languageEnglish (US)
Pages (from-to)1105-1127
Number of pages23
JournalSIAM Journal on Mathematical Analysis
Volume34
Issue number5
DOIs
StatePublished - 2003

Keywords

  • Dynamics
  • Ginzburg-Landau
  • P-wave superconductivity
  • Vortices

ASJC Scopus subject areas

  • Analysis
  • Computational Mathematics
  • Applied Mathematics

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