Topology of ultra-localized insulators and superconductors
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arXiv
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| Auteurs principaux: | , , , |
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866918329093980160 |
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| author | Lapierre, Bastien Trifunovic, Luka Neupert, Titus Brouwer, Piet W. |
| author_facet | Lapierre, Bastien Trifunovic, Luka Neupert, Titus Brouwer, Piet W. |
| contents | The topology of an insulator can be defined even when all eigenstates of the system are localized - an extreme case of Anderson insulators that we call ultra-localized. We derive the classification of such ultra-localized insulators in all symmetry classes and dimensions. We clarify their bulk-boundary correspondence and show that ultra-localized systems are in many instances phases of matter not described by the known classification of topological insulators and superconductors. As a consequence, we clarify which conventional topological phases are Wannierizable, and which topological phases cannot exist without delocalized states. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2407_07957 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Topology of ultra-localized insulators and superconductors Lapierre, Bastien Trifunovic, Luka Neupert, Titus Brouwer, Piet W. Mesoscale and Nanoscale Physics Disordered Systems and Neural Networks The topology of an insulator can be defined even when all eigenstates of the system are localized - an extreme case of Anderson insulators that we call ultra-localized. We derive the classification of such ultra-localized insulators in all symmetry classes and dimensions. We clarify their bulk-boundary correspondence and show that ultra-localized systems are in many instances phases of matter not described by the known classification of topological insulators and superconductors. As a consequence, we clarify which conventional topological phases are Wannierizable, and which topological phases cannot exist without delocalized states. |
| title | Topology of ultra-localized insulators and superconductors |
| topic | Mesoscale and Nanoscale Physics Disordered Systems and Neural Networks |
| url | https://arxiv.org/abs/2407.07957 |