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- Publisher Website: 10.1038/s41467-024-48170-y
- Scopus: eid_2-s2.0-85192150973
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Article: Revealing the spatial nature of sublattice symmetry
Title | Revealing the spatial nature of sublattice symmetry |
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Authors | |
Issue Date | 6-May-2024 |
Publisher | Nature Research |
Citation | Nature Communications, 2024, v. 15, n. 1 How to Cite? |
Abstract | The sublattice symmetry on a bipartite lattice is commonly regarded as the chiral symmetry in the AIII class of the tenfold Altland–Zirnbauer classification. Here, we reveal the spatial nature of sublattice symmetry and show that this assertion holds only if the periodicity of primitive unit cells agrees with that of the sublattice labeling. In cases where the periodicity does not agree, sublattice symmetry is represented as a glide reflection in energy–momentum space, which inverts energy and simultaneously translates some k by π, leading to substantially different physics. Particularly, it introduces novel constraints on zero modes in semimetals and completely alters the classification table of topological insulators compared to class AIII. Notably, the dimensions corresponding to trivial and nontrivial classifications are switched, and the nontrivial classification becomes 𝑍2 instead of 𝑍. We have applied these results to several models, including the Hofstadter model both with and without dimerization. |
Persistent Identifier | http://hdl.handle.net/10722/344919 |
ISSN | 2023 Impact Factor: 14.7 2023 SCImago Journal Rankings: 4.887 |
ISI Accession Number ID |
DC Field | Value | Language |
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dc.contributor.author | Xiao, Rong | - |
dc.contributor.author | Zhao, Yuxin | - |
dc.date.accessioned | 2024-08-13T06:51:10Z | - |
dc.date.available | 2024-08-13T06:51:10Z | - |
dc.date.issued | 2024-05-06 | - |
dc.identifier.citation | Nature Communications, 2024, v. 15, n. 1 | - |
dc.identifier.issn | 2041-1723 | - |
dc.identifier.uri | http://hdl.handle.net/10722/344919 | - |
dc.description.abstract | <p>The sublattice symmetry on a bipartite lattice is commonly regarded as the chiral symmetry in the AIII class of the tenfold Altland–Zirnbauer classification. Here, we reveal the spatial nature of sublattice symmetry and show that this assertion holds only if the periodicity of primitive unit cells agrees with that of the sublattice labeling. In cases where the periodicity does not agree, sublattice symmetry is represented as a glide reflection in energy–momentum space, which inverts energy and simultaneously translates some <em>k</em> by <em>π</em>, leading to substantially different physics. Particularly, it introduces novel constraints on zero modes in semimetals and completely alters the classification table of topological insulators compared to class AIII. Notably, the dimensions corresponding to trivial and nontrivial classifications are switched, and the nontrivial classification becomes 𝑍2 instead of 𝑍. We have applied these results to several models, including the Hofstadter model both with and without dimerization.<br></p> | - |
dc.language | eng | - |
dc.publisher | Nature Research | - |
dc.relation.ispartof | Nature Communications | - |
dc.rights | This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License. | - |
dc.title | Revealing the spatial nature of sublattice symmetry | - |
dc.type | Article | - |
dc.identifier.doi | 10.1038/s41467-024-48170-y | - |
dc.identifier.scopus | eid_2-s2.0-85192150973 | - |
dc.identifier.volume | 15 | - |
dc.identifier.issue | 1 | - |
dc.identifier.eissn | 2041-1723 | - |
dc.identifier.isi | WOS:001214967700021 | - |
dc.identifier.issnl | 2041-1723 | - |