Gapless topological behaviors in a long-range quantum spin chain
Abstract Topology is a fascinating phenomena in condensed-matter physics typically associated with a bulk gap. However, recent research shifts focus to quantum critical points or phases that exhibit nontrivial topological properties. Here we explore a cluster-Ising chain with long-range antiferromag...
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Nature Portfolio
2025-01-01
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| Series: | Communications Physics |
| Online Access: | https://doi.org/10.1038/s42005-025-01947-z |
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| _version_ | 1832594682640596992 |
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| author | Sheng Yang Hai-Qing Lin Xue-Jia Yu |
| author_facet | Sheng Yang Hai-Qing Lin Xue-Jia Yu |
| author_sort | Sheng Yang |
| collection | DOAJ |
| description | Abstract Topology is a fascinating phenomena in condensed-matter physics typically associated with a bulk gap. However, recent research shifts focus to quantum critical points or phases that exhibit nontrivial topological properties. Here we explore a cluster-Ising chain with long-range antiferromagnetic interactions that decay as a power law with distance. Using large-scale density matrix renormalization group simulations, we demonstrate that the nontrivial topology at the critical point remains stable against long-range interactions, resulting in a topologically nontrivial critical line. Moreover, even within the gapped region, the interplay between topology and long-range interaction can give rise to a topological phase featuring algebraically decaying correlations and edge modes, similar to gapless topological phases. We refer to this phase as the algebraic topological phase, which exhibits nontrivial gapless topological behaviors and arises solely from long-range interactions without short-range counterparts. The findings pave the way for more studies on topological states in long-range systems. |
| format | Article |
| id | doaj-art-3b06af81609f4da1bdec0c1ebbfa7f5b |
| institution | Kabale University |
| issn | 2399-3650 |
| language | English |
| publishDate | 2025-01-01 |
| publisher | Nature Portfolio |
| record_format | Article |
| series | Communications Physics |
| spelling | doaj-art-3b06af81609f4da1bdec0c1ebbfa7f5b2025-01-19T12:26:21ZengNature PortfolioCommunications Physics2399-36502025-01-01811810.1038/s42005-025-01947-zGapless topological behaviors in a long-range quantum spin chainSheng Yang0Hai-Qing Lin1Xue-Jia Yu2Institute for Advanced Study in Physics and School of Physics, Zhejiang UniversityInstitute for Advanced Study in Physics and School of Physics, Zhejiang UniversityDepartment of Physics, Fuzhou UniversityAbstract Topology is a fascinating phenomena in condensed-matter physics typically associated with a bulk gap. However, recent research shifts focus to quantum critical points or phases that exhibit nontrivial topological properties. Here we explore a cluster-Ising chain with long-range antiferromagnetic interactions that decay as a power law with distance. Using large-scale density matrix renormalization group simulations, we demonstrate that the nontrivial topology at the critical point remains stable against long-range interactions, resulting in a topologically nontrivial critical line. Moreover, even within the gapped region, the interplay between topology and long-range interaction can give rise to a topological phase featuring algebraically decaying correlations and edge modes, similar to gapless topological phases. We refer to this phase as the algebraic topological phase, which exhibits nontrivial gapless topological behaviors and arises solely from long-range interactions without short-range counterparts. The findings pave the way for more studies on topological states in long-range systems.https://doi.org/10.1038/s42005-025-01947-z |
| spellingShingle | Sheng Yang Hai-Qing Lin Xue-Jia Yu Gapless topological behaviors in a long-range quantum spin chain Communications Physics |
| title | Gapless topological behaviors in a long-range quantum spin chain |
| title_full | Gapless topological behaviors in a long-range quantum spin chain |
| title_fullStr | Gapless topological behaviors in a long-range quantum spin chain |
| title_full_unstemmed | Gapless topological behaviors in a long-range quantum spin chain |
| title_short | Gapless topological behaviors in a long-range quantum spin chain |
| title_sort | gapless topological behaviors in a long range quantum spin chain |
| url | https://doi.org/10.1038/s42005-025-01947-z |
| work_keys_str_mv | AT shengyang gaplesstopologicalbehaviorsinalongrangequantumspinchain AT haiqinglin gaplesstopologicalbehaviorsinalongrangequantumspinchain AT xuejiayu gaplesstopologicalbehaviorsinalongrangequantumspinchain |