Glide symmetry protected higher-order topological insulators from semimetals with butterfly-like nodal lines
Abstract Most topological insulators (TIs) discovered today in spinful systems can be transformed from topological semimetals (TSMs) with vanishing bulk gap via introducing the spin-orbit coupling (SOC), which manifests the intrinsic links between the gapped topological insulator phases and the gapl...
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| Format: | Article |
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Nature Portfolio
2021-12-01
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| Series: | npj Computational Materials |
| Online Access: | https://doi.org/10.1038/s41524-021-00672-9 |
| _version_ | 1819096276455653376 |
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| author | Xiaoting Zhou Chuang-Han Hsu Cheng-Yi Huang Mikel Iraola Juan L. Mañes Maia G. Vergniory Hsin Lin Nicholas Kioussis |
| author_facet | Xiaoting Zhou Chuang-Han Hsu Cheng-Yi Huang Mikel Iraola Juan L. Mañes Maia G. Vergniory Hsin Lin Nicholas Kioussis |
| author_sort | Xiaoting Zhou |
| collection | DOAJ |
| description | Abstract Most topological insulators (TIs) discovered today in spinful systems can be transformed from topological semimetals (TSMs) with vanishing bulk gap via introducing the spin-orbit coupling (SOC), which manifests the intrinsic links between the gapped topological insulator phases and the gapless TSMs. Recently, we have discovered a family of TSMs in time-reversal invariant spinless systems, which host butterfly-like nodal-lines (NLs) consisting of a pair of identical concentric intersecting coplanar ellipses (CICE). In this Communication, we unveil the intrinsic link between this exotic class of nodal-line semimetals (NLSMs) and a $${{\mathbb{Z}}}_{4}$$ Z 4 = 2 topological crystalline insulator (TCI), by including substantial SOC. We demonstrate that in three space groups (i.e., P b a m (No.55), P4/m b m (No.127), and P42/m b c (No.135)), the TCI supports a fourfold Dirac fermion on the (001) surface protected by two glide symmetries, which originates from the intertwined drumhead surface states of the CICE NLs. The higher order topology is further demonstrated by the emergence of one-dimensional helical hinge states, indicating the discovery of a higher order topological insulator protected by a glide symmetry. |
| first_indexed | 2024-12-21T23:56:37Z |
| format | Article |
| id | doaj.art-7b1138ce9fc94c438f832437e1aceabe |
| institution | Directory Open Access Journal |
| issn | 2057-3960 |
| language | English |
| last_indexed | 2024-12-21T23:56:37Z |
| publishDate | 2021-12-01 |
| publisher | Nature Portfolio |
| record_format | Article |
| series | npj Computational Materials |
| spelling | doaj.art-7b1138ce9fc94c438f832437e1aceabe2022-12-21T18:45:47ZengNature Portfolionpj Computational Materials2057-39602021-12-01711610.1038/s41524-021-00672-9Glide symmetry protected higher-order topological insulators from semimetals with butterfly-like nodal linesXiaoting Zhou0Chuang-Han Hsu1Cheng-Yi Huang2Mikel Iraola3Juan L. Mañes4Maia G. Vergniory5Hsin Lin6Nicholas Kioussis7Department of Physics and Astronomy, California State UniversityDepartment of Electrical and Computer Engineering, Faculty of Engineering, National University of SingaporeDepartment of Physics and Astronomy, California State UniversityDonostia International Physics CenterDepartment of Condensed Matter Physics, University of the Basque Country UPV/EHUDonostia International Physics CenterInstitute of Physics, Academia SinicaDepartment of Physics and Astronomy, California State UniversityAbstract Most topological insulators (TIs) discovered today in spinful systems can be transformed from topological semimetals (TSMs) with vanishing bulk gap via introducing the spin-orbit coupling (SOC), which manifests the intrinsic links between the gapped topological insulator phases and the gapless TSMs. Recently, we have discovered a family of TSMs in time-reversal invariant spinless systems, which host butterfly-like nodal-lines (NLs) consisting of a pair of identical concentric intersecting coplanar ellipses (CICE). In this Communication, we unveil the intrinsic link between this exotic class of nodal-line semimetals (NLSMs) and a $${{\mathbb{Z}}}_{4}$$ Z 4 = 2 topological crystalline insulator (TCI), by including substantial SOC. We demonstrate that in three space groups (i.e., P b a m (No.55), P4/m b m (No.127), and P42/m b c (No.135)), the TCI supports a fourfold Dirac fermion on the (001) surface protected by two glide symmetries, which originates from the intertwined drumhead surface states of the CICE NLs. The higher order topology is further demonstrated by the emergence of one-dimensional helical hinge states, indicating the discovery of a higher order topological insulator protected by a glide symmetry.https://doi.org/10.1038/s41524-021-00672-9 |
| spellingShingle | Xiaoting Zhou Chuang-Han Hsu Cheng-Yi Huang Mikel Iraola Juan L. Mañes Maia G. Vergniory Hsin Lin Nicholas Kioussis Glide symmetry protected higher-order topological insulators from semimetals with butterfly-like nodal lines npj Computational Materials |
| title | Glide symmetry protected higher-order topological insulators from semimetals with butterfly-like nodal lines |
| title_full | Glide symmetry protected higher-order topological insulators from semimetals with butterfly-like nodal lines |
| title_fullStr | Glide symmetry protected higher-order topological insulators from semimetals with butterfly-like nodal lines |
| title_full_unstemmed | Glide symmetry protected higher-order topological insulators from semimetals with butterfly-like nodal lines |
| title_short | Glide symmetry protected higher-order topological insulators from semimetals with butterfly-like nodal lines |
| title_sort | glide symmetry protected higher order topological insulators from semimetals with butterfly like nodal lines |
| url | https://doi.org/10.1038/s41524-021-00672-9 |
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