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ID 45954
本文ファイル
著者
Imura, Ken-Ichiro 大学院先端物質科学研究科 広大研究者総覧
Fukui, Takahiro
Fujiwara, Takanori
NDC
物理学
抄録(英)
We study a Majorana zero-energy state bound to a hedgehog-like point defect in a topological superconductor described by a Bogoliubov-de Gennes (BdG)-Dirac type effective Hamiltonian. We first give an explicit wave function of a Majorana state by solving the BdG equation directly, from which an analytical index can be obtained. Next, by calculating the corresponding topological index, we show a precise equivalence between both indices to confirm the index theorem. Finally, we apply this observation to reexamine the role of another topological invariant, i.e., the Chern number associated with the Berry curvature proposed in the study of protected zero modes along the lines of topological classification of insulators and superconductors. We show that the Chern number is equivalent to the topological index, implying that it indeed reflects the number of zero-energy states. Our theoretical model belongs to the BDI class from the viewpoint of symmetry, whereas the spatial dimension d of the system is left arbitrary throughout the paper.
内容記述
This work was supported in part by Grant-in-Aid for Scientific Research from JSPS (No. 21540378) and by the “Topological Quantum Phenomena” Grant-in Aid for Scientific Research on Innovative Areas from the Ministry of Education, Culture, Sports, Science and Technology (MEXT) of Japan (Nos. 23103502, 23103511).
掲載誌名
Nuclear Physics B
854巻
2号
開始ページ
306
終了ページ
320
出版年月日
2012-01-11
出版者
Elsevier B.V.
ISSN
0550-3213
NCID
出版者DOI
言語
英語
NII資源タイプ
学術雑誌論文
広大資料タイプ
学術雑誌論文
DCMIタイプ
text
フォーマット
application/pdf
著者版フラグ
author
権利情報
Copyright (c) 2011 Elsevier B.V.
関連情報URL
部局名
先端物質科学研究科