2017年12月15日
A New Numerical Method for \(\mathbb{Z}_{2}\) Topological Insulators with Strong Disorder
Journal of the Physical Society of Japan
- ,
- ,
- 巻
- 86
- 号
- 12
- 開始ページ
- 123710
- 終了ページ
- 123710
- 記述言語
- 英語
- 掲載種別
- 研究論文(学術雑誌)
- DOI
- 10.7566/jpsj.86.123710
- 出版者・発行元
- Physical Society of Japan
We propose a new method to numerically compute the Z(2) indices for disordered topological insulators in Kitaev's periodic table. All of the Z(2) indices are derived from the index formulae which are expressed in terms of a pair of projections introduced by Avron, Seiler, and Simon. For a given pair of projections, the corresponding index is determined by the spectrum of the difference between the two projections. This difference exhibits remarkable and useful properties, as it is compact and has a supersymmetric structure in the spectrum. These properties enable highly efficient numerical calculation of the indices of disordered topological insulators. The method, which we propose, is demonstrated for the Bernevig-Hughes-Zhang and Wilson-Dirac models whose topological phases are characterized by a Z(2) index in two and three dimensions, respectively.
- リンク情報
- ID情報
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- DOI : 10.7566/jpsj.86.123710
- ISSN : 1347-4073
- ORCIDのPut Code : 85400490
- Web of Science ID : WOS:000416919700014