Vortices in p-wave superconductivity

Fang-Hua Lin, Tai Chia Lin

Research output: Contribution to journalArticle

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

Fingerprint

Superconductivity
Vortex
Vortex flow
Ginzburg-Landau
Minimizer
Order Parameter
Gradient Flow
System of Ordinary Differential Equations
Ordinary differential equations
Free energy
Equations of motion
Free Energy
Equations of Motion
Distinct
Energy

Keywords

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

ASJC Scopus subject areas

  • Mathematics(all)
  • Analysis
  • Applied Mathematics

Cite this

Vortices in p-wave superconductivity. / Lin, Fang-Hua; Lin, Tai Chia.

In: SIAM Journal on Mathematical Analysis, Vol. 34, No. 5, 2003, p. 1105-1127.

Research output: Contribution to journalArticle

Lin, Fang-Hua ; Lin, Tai Chia. / Vortices in p-wave superconductivity. In: SIAM Journal on Mathematical Analysis. 2003 ; Vol. 34, No. 5. pp. 1105-1127.
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