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

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

doi:10.1016/j.physc.2004.02.197

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

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

Institute for Materials Research (IMR)

Research output: Contribution to journal › Article › peer-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 language	English
Pages (from-to)	548-551
Number of pages	4
Journal	Physica C: Superconductivity and its applications
Volume	412-414
Issue number	SPEC. ISS.
DOIs	https://doi.org/10.1016/j.physc.2004.02.197
Publication status	Published - 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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10.1016/j.physc.2004.02.197

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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.",

keywords = "Bogoliubov-de Gennes equation, Finite element method, Superconducting plate",

author = "Hisataka Suematsu and Masahiko Machida and Tomio Koyama and Takekazu Ishida and Masaru Kato",

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T1 - Finite element method for Bogoliubov-de Gennes equation

T2 - Application to nano-structure superconductor

AU - Suematsu, Hisataka

AU - Machida, Masahiko

AU - Koyama, Tomio

AU - Ishida, Takekazu

AU - Kato, Masaru

PY - 2004/10/1

Y1 - 2004/10/1

N2 - 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.

AB - 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.

KW - Bogoliubov-de Gennes equation

KW - Finite element method

KW - Superconducting plate

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

Abstract

Keywords

ASJC Scopus subject areas

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