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

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.
Publication Date:
Oct 01, 2004
Product Type:
Journal Article
Resource Relation:
Journal Name: Physica. C, Superconductivity; Journal Volume: 412-414; Journal Issue: 1-2; Conference: ISS 2003: 16. International symposium on superconductivity: Advances in superconductivity XVI. Part I, Tsukuba (Japan), 27-29 Oct 2003; Other Information: DOI: 10.1016/j.physc.2004.02.197; PII: S0921453404007373; Copyright (c) 2004 Elsevier Science B.V., Amsterdam, The Netherlands, All rights reserved; Country of input: International Atomic Energy Agency (IAEA); PBD: Oct 2004
Subject:
75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY; ASYMMETRY; BOUND STATE; ENERGY-LEVEL DENSITY; FINITE ELEMENT METHOD; GEOMETRY; GINZBURG-LANDAU THEORY; NANOSTRUCTURES; PLATES; QUASI PARTICLES; SUPERCONDUCTORS; VORTICES
OSTI ID:
20618725
Country of Origin:
Netherlands
Language:
English
Other Identifying Numbers:
Journal ID: ISSN 0921-4534; PHYCE6; TRN: NL05S0922062223
Submitting Site:
NLN
Size:
page(s) 548-551
Announcement Date:
Aug 21, 2005

Citation Formats

Suematsu, Hisataka, Machida, Masahiko, Koyama, Tomio, Ishida, Takekazu, and Kato, Masaru. Finite element method for Bogoliubov-de Gennes equation: application to nano-structure superconductor. Netherlands: N. p., 2004. Web. doi:10.1016/j.physc.2004.02.197.
Suematsu, Hisataka, Machida, Masahiko, Koyama, Tomio, Ishida, Takekazu, & Kato, Masaru. Finite element method for Bogoliubov-de Gennes equation: application to nano-structure superconductor. Netherlands. https://doi.org/10.1016/j.physc.2004.02.197
Suematsu, Hisataka, Machida, Masahiko, Koyama, Tomio, Ishida, Takekazu, and Kato, Masaru. 2004. "Finite element method for Bogoliubov-de Gennes equation: application to nano-structure superconductor." Netherlands. https://doi.org/10.1016/j.physc.2004.02.197.
@misc{etde_20618725,
title = {Finite element method for Bogoliubov-de Gennes equation: application to nano-structure superconductor}
author = {Suematsu, Hisataka, Machida, Masahiko, Koyama, Tomio, Ishida, Takekazu, and Kato, Masaru}
abstractNote = {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.}
doi = {10.1016/j.physc.2004.02.197}
journal = []
issue = {1-2}
volume = {412-414}
journal type = {AC}
place = {Netherlands}
year = {2004}
month = {Oct}
}