Higher-order topological phases in crystalline and non-crystalline systems: a review
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arXiv
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| Autores principales: | , , , |
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| Formato: | Preprint |
| Publicado: |
2023
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| _version_ | 1866909174332391424 |
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| author | Yang, Yan-Bin Wang, Jiong-Hao Li, Kai Xu, Yong |
| author_facet | Yang, Yan-Bin Wang, Jiong-Hao Li, Kai Xu, Yong |
| contents | In recent years, higher-order topological phases have attracted great interest in various fields of physics. These phases have protected boundary states at lower-dimensional boundaries than the conventional first-order topological phases due to the higher-order bulk-boundary correspondence. In this review, we summarize current research progress on higher-order topological phases in both crystalline and non-crystalline systems. We firstly introduce prototypical models of higher-order topological phases in crystals and their topological characterizations. We then discuss effects of quenched disorder on higher-order topology and demonstrate disorder-induced higher-order topological insulators. We also review the theoretical studies on higher-order topological insulators in amorphous systems without any crystalline symmetry and higher-order topological phases in nonperiodic lattices including quasicrystals, hyperbolic lattices, and fractals, which have no crystalline counterparts. We conclude the review by a summary of experimental realizations of higher-order topological phases and discussions on potential directions for future study. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2309_03688 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Higher-order topological phases in crystalline and non-crystalline systems: a review Yang, Yan-Bin Wang, Jiong-Hao Li, Kai Xu, Yong Mesoscale and Nanoscale Physics Disordered Systems and Neural Networks Quantum Gases In recent years, higher-order topological phases have attracted great interest in various fields of physics. These phases have protected boundary states at lower-dimensional boundaries than the conventional first-order topological phases due to the higher-order bulk-boundary correspondence. In this review, we summarize current research progress on higher-order topological phases in both crystalline and non-crystalline systems. We firstly introduce prototypical models of higher-order topological phases in crystals and their topological characterizations. We then discuss effects of quenched disorder on higher-order topology and demonstrate disorder-induced higher-order topological insulators. We also review the theoretical studies on higher-order topological insulators in amorphous systems without any crystalline symmetry and higher-order topological phases in nonperiodic lattices including quasicrystals, hyperbolic lattices, and fractals, which have no crystalline counterparts. We conclude the review by a summary of experimental realizations of higher-order topological phases and discussions on potential directions for future study. |
| title | Higher-order topological phases in crystalline and non-crystalline systems: a review |
| topic | Mesoscale and Nanoscale Physics Disordered Systems and Neural Networks Quantum Gases |
| url | https://arxiv.org/abs/2309.03688 |