Tunable cornerlike states in topological type-II hyperbolic lattices
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arXiv
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| Autori principali: | , , , , , , |
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| Natura: | Preprint |
| Pubblicazione: |
2026
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| _version_ | 1866917451785043968 |
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| author | Liu, Zheng-Rong Peng, Tan Liu, Xiang Yi, Xiao-Xia Hua, Chun-Bo Chen, Rui Zhou, Bin |
| author_facet | Liu, Zheng-Rong Peng, Tan Liu, Xiang Yi, Xiao-Xia Hua, Chun-Bo Chen, Rui Zhou, Bin |
| contents | Type-II hyperbolic lattices constitute a new class of hyperbolic structures that are projected onto the Poincaré ring and possess both an inner and an outer boundary. In this work, we reveal the higher-order topological phases in type-II hyperbolic lattices, characterized by the generalized quadrupole moment. Unlike the type-I hyperbolic lattices where zero-energy cornerlike states exist on a single boundary, the higher-order topological phases in type-II hyperbolic lattices possess zero-energy cornerlike states localized on both the inner and outer boundaries. These findings are verified within both the modified Bernevig-Hughes-Zhang model and the Benalcazar-Bernevig-Hughes model. Furthermore, we demonstrate that the higher-order topological phase remains robust against weak disorder in type-II hyperbolic lattices. Our work provides a route for realizing and controlling higher-order topological states in type-II hyperbolic lattices. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2601_06963 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Tunable cornerlike states in topological type-II hyperbolic lattices Liu, Zheng-Rong Peng, Tan Liu, Xiang Yi, Xiao-Xia Hua, Chun-Bo Chen, Rui Zhou, Bin Mesoscale and Nanoscale Physics Type-II hyperbolic lattices constitute a new class of hyperbolic structures that are projected onto the Poincaré ring and possess both an inner and an outer boundary. In this work, we reveal the higher-order topological phases in type-II hyperbolic lattices, characterized by the generalized quadrupole moment. Unlike the type-I hyperbolic lattices where zero-energy cornerlike states exist on a single boundary, the higher-order topological phases in type-II hyperbolic lattices possess zero-energy cornerlike states localized on both the inner and outer boundaries. These findings are verified within both the modified Bernevig-Hughes-Zhang model and the Benalcazar-Bernevig-Hughes model. Furthermore, we demonstrate that the higher-order topological phase remains robust against weak disorder in type-II hyperbolic lattices. Our work provides a route for realizing and controlling higher-order topological states in type-II hyperbolic lattices. |
| title | Tunable cornerlike states in topological type-II hyperbolic lattices |
| topic | Mesoscale and Nanoscale Physics |
| url | https://arxiv.org/abs/2601.06963 |