dorsal/arxiv
View SchemaTunable cornerlike states in topological type-II hyperbolic lattices
| Authors | Zheng-Rong Liu, Tan Peng, Xiao-Xia Yi, Chun-Bo Hua, Rui Chen, Bin Zhou |
|---|---|
| Categories | |
| ArXiv ID | 2601.06963vv1 |
| URL | https://arxiv.org/abs/2601.06963 |
| License | http://creativecommons.org/licenses/by/4.0/ |
Abstract
Type-II hyperbolic lattices constitute a new class of hyperbolic structures that are projected onto the Poincar\'{e} 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.
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"date_created": "2026-02-17T05:53:08.155000Z",
"date_modified": "2026-02-17T05:53:08.155000Z",
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"abstract": "Type-II hyperbolic lattices constitute a new class of hyperbolic structures that are projected onto the Poincar\\\u0027{e} 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.",
"arxiv_id": "2601.06963",
"authors": [
"Zheng-Rong Liu",
"Tan Peng",
"Xiao-Xia Yi",
"Chun-Bo Hua",
"Rui Chen",
"Bin Zhou"
],
"categories": [
"cond-mat.mes-hall"
],
"license": "http://creativecommons.org/licenses/by/4.0/",
"title": "Tunable cornerlike states in topological type-II hyperbolic lattices",
"url": "https://arxiv.org/abs/2601.06963",
"version": "v1"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "ab30f488-9334-450b-80fa-09247a81f0c7",
"id": "arXiv Dataset",
"type": "Model",
"variant": "snapshot-2026-01-17",
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