Finite element method for Bogoliubov-de Gennes equation: Application to nano-structure superconductor

Hisataka Suematsu, Masahiko Machida, Tomio Koyama, Takekazu Ishida, Masaru Kato

Research output: Contribution to journalArticlepeer-review

17 Citations (Scopus)

Abstract

Recently, nano-structure superconductors have been studied widely, especially using the Ginzburg-Landau equation. But the quasi-particle structures have not been studied. So we have developed the finite element method for solving the Bogoliubov-de Gennes equation of nano scale superconductors in arbitrary geometries. We have applied it to a nano-scaled superconducting square plate. The result shows the quasi-particle bound states of each vortex interfere and the local density of states has an asymmetric structure.

Original languageEnglish
Pages (from-to)548-551
Number of pages4
JournalPhysica C: Superconductivity and its applications
Volume412-414
Issue numberSPEC. ISS.
DOIs
Publication statusPublished - 2004 Oct 1

Keywords

  • Bogoliubov-de Gennes equation
  • Finite element method
  • Superconducting plate

ASJC Scopus subject areas

  • Electronic, Optical and Magnetic Materials
  • Condensed Matter Physics
  • Energy Engineering and Power Technology
  • Electrical and Electronic Engineering

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