論文

査読有り
2017年

Reduced-Shifted Conjugate-Gradient Method for a Green's Function: Efficient Numerical Approach in a Nano-Structured Superconductor

Journal of the Physical Society of Japan
  • Nagai, Yuki
  • ,
  • Shinohara, Yasushi
  • ,
  • Futamura, Yasunori
  • ,
  • Sakurai, Tetsuya

86
1
開始ページ
014708
終了ページ
記述言語
掲載種別
研究論文(学術雑誌)
DOI
10.7566/JPSJ.86.014708
出版者・発行元
The Physical Society of Japan

© 2017 The Physical Society of Japan.We propose the reduced-shifted conjugate-gradient (RSCG) method, which is numerically efficient to calculate a matrix element of a Green's function defined as a resolvent of a Hamiltonian operator, by solving linear equations with a desired accuracy. This method does not calculate solution vectors of linear equations but does directly calculate a matrix element of the resolvent. The matrix elements with different frequencies are simultaneously obtained. Thus, it is easy to calculate the exception value expressed as a Matsubara summation of these elements. To illustrate a power of our method, we choose a nano-structured superconducting system with a mean-field Bogoliubov-de Gennes (BdG) approach. This method allows us to treat with the system with the fabrication potential, where one cannot effectively use the kernel-polynomial-based method. We consider the d-wave nano-island superconductor by simultaneously solving the linear equations with a large number (∼50000) of Matsubara frequencies.

リンク情報
DOI
https://doi.org/10.7566/JPSJ.86.014708
Web of Science
https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcAuth=JSTA_CEL&SrcApp=J_Gate_JST&DestLinkType=FullRecord&KeyUT=WOS:000391858100026&DestApp=WOS_CPL
ID情報
  • DOI : 10.7566/JPSJ.86.014708
  • ISSN : 0031-9015
  • ORCIDのPut Code : 30821959
  • SCOPUS ID : 85007475035
  • Web of Science ID : WOS:000391858100026

エクスポート
BibTeX RIS