Gapless higher-order topology and corner states in Floquet systems
Higher-order topological phases (HOTPs) possess localized and symmetry-protected eigenmodes at corners and along hinges in two- and three-dimensional lattices. The numbers of these topological boundary modes will undergo quantized changes at the critical points between different HOTPs. In this work,...
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| Format: | Article |
| Language: | English |
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American Physical Society
2025-04-01
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| Series: | Physical Review Research |
| Online Access: | http://doi.org/10.1103/PhysRevResearch.7.023079 |
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| _version_ | 1849715381888876544 |
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| author | Longwen Zhou Rongtao Wang Jiaxin Pan |
| author_facet | Longwen Zhou Rongtao Wang Jiaxin Pan |
| author_sort | Longwen Zhou |
| collection | DOAJ |
| description | Higher-order topological phases (HOTPs) possess localized and symmetry-protected eigenmodes at corners and along hinges in two- and three-dimensional lattices. The numbers of these topological boundary modes will undergo quantized changes at the critical points between different HOTPs. In this work, we reveal unique higher-order topology induced by time-periodic driving at the critical points of topological phase transitions, which has no equilibrium counterparts and also goes beyond the description of gapped topological matter. Using an alternately coupled Creutz ladder and its Floquet-driven descendants as illustrative examples, we analytically characterize and numerically demonstrate the zero and π corner modes that could emerge at the critical points between different Floquet HOTPs. Moreover, we propose a unified scheme of bulk-corner correspondence for both gapless and gapped Floquet HOTPs protected by chiral symmetry in two dimensions. Our work reveals the possibility of corner modes surviving topological transitions in Floquet systems and initializes the study of higher-order Floquet topology at quantum criticality. |
| format | Article |
| id | doaj-art-590a558ccec04fa58c54939ea1d69130 |
| institution | DOAJ |
| issn | 2643-1564 |
| language | English |
| publishDate | 2025-04-01 |
| publisher | American Physical Society |
| record_format | Article |
| series | Physical Review Research |
| spelling | doaj-art-590a558ccec04fa58c54939ea1d691302025-08-20T03:13:25ZengAmerican Physical SocietyPhysical Review Research2643-15642025-04-017202307910.1103/PhysRevResearch.7.023079Gapless higher-order topology and corner states in Floquet systemsLongwen ZhouRongtao WangJiaxin PanHigher-order topological phases (HOTPs) possess localized and symmetry-protected eigenmodes at corners and along hinges in two- and three-dimensional lattices. The numbers of these topological boundary modes will undergo quantized changes at the critical points between different HOTPs. In this work, we reveal unique higher-order topology induced by time-periodic driving at the critical points of topological phase transitions, which has no equilibrium counterparts and also goes beyond the description of gapped topological matter. Using an alternately coupled Creutz ladder and its Floquet-driven descendants as illustrative examples, we analytically characterize and numerically demonstrate the zero and π corner modes that could emerge at the critical points between different Floquet HOTPs. Moreover, we propose a unified scheme of bulk-corner correspondence for both gapless and gapped Floquet HOTPs protected by chiral symmetry in two dimensions. Our work reveals the possibility of corner modes surviving topological transitions in Floquet systems and initializes the study of higher-order Floquet topology at quantum criticality.http://doi.org/10.1103/PhysRevResearch.7.023079 |
| spellingShingle | Longwen Zhou Rongtao Wang Jiaxin Pan Gapless higher-order topology and corner states in Floquet systems Physical Review Research |
| title | Gapless higher-order topology and corner states in Floquet systems |
| title_full | Gapless higher-order topology and corner states in Floquet systems |
| title_fullStr | Gapless higher-order topology and corner states in Floquet systems |
| title_full_unstemmed | Gapless higher-order topology and corner states in Floquet systems |
| title_short | Gapless higher-order topology and corner states in Floquet systems |
| title_sort | gapless higher order topology and corner states in floquet systems |
| url | http://doi.org/10.1103/PhysRevResearch.7.023079 |
| work_keys_str_mv | AT longwenzhou gaplesshigherordertopologyandcornerstatesinfloquetsystems AT rongtaowang gaplesshigherordertopologyandcornerstatesinfloquetsystems AT jiaxinpan gaplesshigherordertopologyandcornerstatesinfloquetsystems |