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タイトル: | The classification of surface states of topological insulators and superconductors with magnetic point group symmetry |
著者: | Shiozaki, Ken |
著者名の別形: | 塩崎, 謙 |
キーワード: | I68 Other topics I90 Surfaces, interfaces and thin films |
発行日: | Apr-2022 |
出版者: | Oxford University Press (OUP) Physical Society of Japan |
誌名: | Progress of Theoretical and Experimental Physics |
巻: | 2022 |
号: | 4 |
論文番号: | 04A104 |
抄録: | We present the exhaustive classification of surface states of topological insulators and superconductors protected by crystallographic magnetic point group symmetry in three spatial dimensions. Recently, Cornfeld and Chapman [Phys. Rev. B 99, 075105 (2019)] pointed out that the topological classification of mass terms of the Dirac Hamiltonian with point group symmetry is recast as an extension problem of the Clifford algebra, and we use their results extensively. Comparing two types of Dirac Hamiltonians with and without the mass-hedgehog potential, we establish an irreducible character formula to read off which Hamiltonian in the whole K-group belongs to 4th-order topological phases in three spatial dimensions, which are equivalent to atomic insulators consisting of atoms localized at the point group center. |
著作権等: | © The Author(s) 2022. Published by Oxford University Press on behalf of the Physical Society of Japan. This is an Open Access article distributed under the terms of the Creative Commons Attribution License, which permits unrestricted reuse, distribution, and reproduction in any medium, provided the original work is properly cited. |
URI: | http://hdl.handle.net/2433/274805 |
DOI(出版社版): | 10.1093/ptep/ptep026 |
出現コレクション: | 学術雑誌掲載論文等 |
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