Family of third-order topological insulators from Su-Schrieffer-Heeger stacking
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arXiv
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| Main Authors: | , , , |
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| Format: | Preprint |
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2024
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| _version_ | 1866912181172305920 |
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| author | Luo, Xun-Jiang Li, Jia-Zheng Xiao, Meng Wu, Fengcheng |
| author_facet | Luo, Xun-Jiang Li, Jia-Zheng Xiao, Meng Wu, Fengcheng |
| contents | We construct a family of chiral symmetry-protected third-order topological insulators by stacking Su-Schrieffer-Heeger (SSH) chains and provide a unified topological characterization by a series of Bott indices. Our approach is informed by the analytical solution of corner states for the model Hamiltonians written as a summation of the extended SSH model along three orthogonal directions. By utilizing the generalized Pauli matrices, an enumeration of the constructed model Hamiltonians generates ten distinct models, including the well-studied three-dimensional Benalcazar-Bernevig-Hughes model. By performing a boundary projection analysis for the ten models, we find that certain surfaces and hinges of the systems can exhibit, respectively, nontrivial second-order and first-order topology in the phase of the third-order topological insulators. Furthermore, we analyze the phase diagram for one of the predicted models and reveal a rich set of topological phases, including the third-order topological insulators, second-order weak topological insulators, and second-order nodal semimetals. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2410_18016 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Family of third-order topological insulators from Su-Schrieffer-Heeger stacking Luo, Xun-Jiang Li, Jia-Zheng Xiao, Meng Wu, Fengcheng Mesoscale and Nanoscale Physics We construct a family of chiral symmetry-protected third-order topological insulators by stacking Su-Schrieffer-Heeger (SSH) chains and provide a unified topological characterization by a series of Bott indices. Our approach is informed by the analytical solution of corner states for the model Hamiltonians written as a summation of the extended SSH model along three orthogonal directions. By utilizing the generalized Pauli matrices, an enumeration of the constructed model Hamiltonians generates ten distinct models, including the well-studied three-dimensional Benalcazar-Bernevig-Hughes model. By performing a boundary projection analysis for the ten models, we find that certain surfaces and hinges of the systems can exhibit, respectively, nontrivial second-order and first-order topology in the phase of the third-order topological insulators. Furthermore, we analyze the phase diagram for one of the predicted models and reveal a rich set of topological phases, including the third-order topological insulators, second-order weak topological insulators, and second-order nodal semimetals. |
| title | Family of third-order topological insulators from Su-Schrieffer-Heeger stacking |
| topic | Mesoscale and Nanoscale Physics |
| url | https://arxiv.org/abs/2410.18016 |