Efficient Numerical Self-consistent Mean-field Approach for Fermionic Many-body Systems by Polynomial Expansion on Spectral Density
Superconductivity
2015-03-19 v3 Mesoscale and Nanoscale Physics
Abstract
We propose an efficient numerical algorithm to solve Bogoliubov de Gennes equations self-consistently for inhomogeneous superconducting systems with a reformulated polynomial expansion scheme. This proposed method is applied to typical issues such as a vortex under randomly distributed impurities and a normal conducting junction sandwiched between superconductors. With various technical remarks, we show that its efficiency becomes remarkable in large-scale parallel performance.
Cite
@article{arxiv.1105.4939,
title = {Efficient Numerical Self-consistent Mean-field Approach for Fermionic Many-body Systems by Polynomial Expansion on Spectral Density},
author = {Yuki Nagai and Yukihiro Ota and Masahiko Machida},
journal= {arXiv preprint arXiv:1105.4939},
year = {2015}
}
Comments
16 pages, 5 figures (published version)