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Majorana bound state of a Bogoliubov-de Gennes-Dirac Hamiltonian in arbitrary dimensions
https://hiroshima.repo.nii.ac.jp/records/2007816
https://hiroshima.repo.nii.ac.jp/records/2007816f35139ff-8ba2-4f0f-81b0-1daf584e1640
| 名前 / ファイル | ライセンス | アクション |
|---|---|---|
NuclPhysB_854_306.pdf (198.7 KB)
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| Item type | デフォルトアイテムタイプ_（フル）(1) | |||||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| 公開日 | 2023-03-18 | |||||||||||
| タイトル | ||||||||||||
| タイトル | Majorana bound state of a Bogoliubov-de Gennes-Dirac Hamiltonian in arbitrary dimensions | |||||||||||
| 言語 | en | |||||||||||
| 作成者 |
Imura, Ken-Ichiro
× Imura, Ken-Ichiro
× Fukui, Takahiro
× Fujiwara, Takanori
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| アクセス権 | ||||||||||||
| アクセス権 | open access | |||||||||||
| アクセス権URI | http://purl.org/coar/access_right/c_abf2 | |||||||||||
| 権利情報 | ||||||||||||
| 権利情報 | Copyright (c) 2011 Elsevier B.V. | |||||||||||
| 主題 | ||||||||||||
| 主題Scheme | NDC | |||||||||||
| 主題 | 420 | |||||||||||
| 内容記述 | ||||||||||||
| 内容記述 | 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. | |||||||||||
| 言語 | en | |||||||||||
| 内容記述 | ||||||||||||
| 内容記述タイプ | Other | |||||||||||
| 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). | |||||||||||
| 出版者 | ||||||||||||
| 出版者 | Elsevier B.V. | |||||||||||
| 言語 | ||||||||||||
| 言語 | eng | |||||||||||
| 資源タイプ | ||||||||||||
| 資源タイプ識別子 | http://purl.org/coar/resource_type/c_6501 | |||||||||||
| 資源タイプ | journal article | |||||||||||
| 出版タイプ | ||||||||||||
| 出版タイプ | AO | |||||||||||
| 出版タイプResource | http://purl.org/coar/version/c_b1a7d7d4d402bcce | |||||||||||
| 関連情報 | ||||||||||||
| 識別子タイプ | DOI | |||||||||||
| 関連識別子 | 10.1016/j.nuclphysb.2011.09.003 | |||||||||||
| 関連情報 | ||||||||||||
| 識別子タイプ | arXiv | |||||||||||
| 関連識別子 | arXiv:1107.5629 | |||||||||||
| 収録物識別子 | ||||||||||||
| 収録物識別子タイプ | ISSN | |||||||||||
| 収録物識別子 | 0550-3213 | |||||||||||
| 収録物識別子 | ||||||||||||
| 収録物識別子タイプ | NCID | |||||||||||
| 収録物識別子 | AA00760043 | |||||||||||
| 開始ページ | ||||||||||||
| 開始ページ | 306 | |||||||||||
| 書誌情報 |
Nuclear Physics B Nuclear Physics B 巻 854, 号 2, p. 306-320, 発行日 2012-01-11 |
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| 旧ID | 45954 | |||||||||||
