Majorana bound state of a Bogoliubov-de Gennes-Dirac Hamiltonian in arbitrary dimensions
Nuclear Physics B 854 巻 2 号
306-320 頁
2012-01-11 発行
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| ファイル情報(添付) | |
| タイトル ( eng ) |
Majorana bound state of a Bogoliubov-de Gennes-Dirac Hamiltonian in arbitrary dimensions
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| 作成者 |
Fukui Takahiro
Fujiwara Takanori
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| 収録物名 |
Nuclear Physics B
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| 巻 | 854 |
| 号 | 2 |
| 開始ページ | 306 |
| 終了ページ | 320 |
| 抄録 |
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.
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| 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).
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| NDC分類 |
物理学 [ 420 ]
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| 言語 |
英語
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| 資源タイプ | 学術雑誌論文 |
| 出版者 |
Elsevier B.V.
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| 発行日 | 2012-01-11 |
| 権利情報 |
Copyright (c) 2011 Elsevier B.V.
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| 出版タイプ | Author’s Original（十分な品質であるとして、著者から正式な査読に提出される版） |
| アクセス権 | オープンアクセス |
| 収録物識別子 |
[ISSN] 0550-3213
[NCID] AA00760043
[DOI] 10.1016/j.nuclphysb.2011.09.003
[arXiv] arXiv:1107.5629
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