Z_{2}-enriched symmetry indicators for topological superconductors in the 1651 magnetic space groups
While the symmetry-based diagnosis of topological insulators and semimetals has enabled large-scale discovery of topological materials candidates, the extension of these approaches to the diagnosis of topological superconductors remains a major open question. One important new ingredient in the anal...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
American Physical Society
2021-05-01
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| Series: | Physical Review Research |
| Online Access: | http://doi.org/10.1103/PhysRevResearch.3.023086 |
| _version_ | 1827285770473308160 |
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| author | Seishiro Ono Hoi Chun Po Ken Shiozaki |
| author_facet | Seishiro Ono Hoi Chun Po Ken Shiozaki |
| author_sort | Seishiro Ono |
| collection | DOAJ |
| description | While the symmetry-based diagnosis of topological insulators and semimetals has enabled large-scale discovery of topological materials candidates, the extension of these approaches to the diagnosis of topological superconductors remains a major open question. One important new ingredient in the analysis of topological superconductivity is the presence of Z_{2}-valued Pfaffian invariants associated with certain high-symmetry momenta. Such topological invariants lie beyond the conventional scope of symmetry representation theory for band structures, and as such they are nontrivial to incorporate into the systematic calculations of the symmetry indicators of band topology. Here, we overcome this challenge and report the full computation of the Z_{2}-enriched symmetry indicators for superconductors in all symmetry settings. Our results indicate that incorporating the Z_{2} band labels enhance the diagnostic power of the scheme in roughly 60% of the symmetry settings. Our framework can also be readily integrated with first-principles calculations to elucidate on the possible properties of unconventional superconductivity in a given compound. As a demonstration, we analyze explicitly the interplay between pairing symmetry and topological superconductivity in the recently discovered superconductors CaPtAs and CaSb_{2}. |
| first_indexed | 2024-04-24T10:20:12Z |
| format | Article |
| id | doaj.art-246a99b276674e14a814af26cb56ddc9 |
| institution | Directory Open Access Journal |
| issn | 2643-1564 |
| language | English |
| last_indexed | 2024-04-24T10:20:12Z |
| publishDate | 2021-05-01 |
| publisher | American Physical Society |
| record_format | Article |
| series | Physical Review Research |
| spelling | doaj.art-246a99b276674e14a814af26cb56ddc92024-04-12T17:09:36ZengAmerican Physical SocietyPhysical Review Research2643-15642021-05-013202308610.1103/PhysRevResearch.3.023086Z_{2}-enriched symmetry indicators for topological superconductors in the 1651 magnetic space groupsSeishiro OnoHoi Chun PoKen ShiozakiWhile the symmetry-based diagnosis of topological insulators and semimetals has enabled large-scale discovery of topological materials candidates, the extension of these approaches to the diagnosis of topological superconductors remains a major open question. One important new ingredient in the analysis of topological superconductivity is the presence of Z_{2}-valued Pfaffian invariants associated with certain high-symmetry momenta. Such topological invariants lie beyond the conventional scope of symmetry representation theory for band structures, and as such they are nontrivial to incorporate into the systematic calculations of the symmetry indicators of band topology. Here, we overcome this challenge and report the full computation of the Z_{2}-enriched symmetry indicators for superconductors in all symmetry settings. Our results indicate that incorporating the Z_{2} band labels enhance the diagnostic power of the scheme in roughly 60% of the symmetry settings. Our framework can also be readily integrated with first-principles calculations to elucidate on the possible properties of unconventional superconductivity in a given compound. As a demonstration, we analyze explicitly the interplay between pairing symmetry and topological superconductivity in the recently discovered superconductors CaPtAs and CaSb_{2}.http://doi.org/10.1103/PhysRevResearch.3.023086 |
| spellingShingle | Seishiro Ono Hoi Chun Po Ken Shiozaki Z_{2}-enriched symmetry indicators for topological superconductors in the 1651 magnetic space groups Physical Review Research |
| title | Z_{2}-enriched symmetry indicators for topological superconductors in the 1651 magnetic space groups |
| title_full | Z_{2}-enriched symmetry indicators for topological superconductors in the 1651 magnetic space groups |
| title_fullStr | Z_{2}-enriched symmetry indicators for topological superconductors in the 1651 magnetic space groups |
| title_full_unstemmed | Z_{2}-enriched symmetry indicators for topological superconductors in the 1651 magnetic space groups |
| title_short | Z_{2}-enriched symmetry indicators for topological superconductors in the 1651 magnetic space groups |
| title_sort | z 2 enriched symmetry indicators for topological superconductors in the 1651 magnetic space groups |
| url | http://doi.org/10.1103/PhysRevResearch.3.023086 |
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