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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2407.16494 |
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| _version_ | 1866908302015725568 |
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| author | Setescak, Christoph S. Lewenkopf, Caio Ludewig, Matthias |
| author_facet | Setescak, Christoph S. Lewenkopf, Caio Ludewig, Matthias |
| contents | We show that topological phases include disordered materials if the underlying invariant is interpreted as originating from coarse geometry. This coarse geometric framework, grounded in physical principles, offers a natural setting for the bulk-boundary correspondence, reproduces physical knowledge, and leads to an efficient and tractable numerical approach for calculating invariants. As a showcase, we give a detailed discussion of the framework for three-dimensional systems with time-reversal symmetry. We numerically reproduce the known disorder-free phase diagram of a tunable, effective tight-binding model and analyze the evolution of the topological phase under disorder. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2407_16494 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Coarse geometric approach to topological phases: Invariants from real-space representations Setescak, Christoph S. Lewenkopf, Caio Ludewig, Matthias Disordered Systems and Neural Networks We show that topological phases include disordered materials if the underlying invariant is interpreted as originating from coarse geometry. This coarse geometric framework, grounded in physical principles, offers a natural setting for the bulk-boundary correspondence, reproduces physical knowledge, and leads to an efficient and tractable numerical approach for calculating invariants. As a showcase, we give a detailed discussion of the framework for three-dimensional systems with time-reversal symmetry. We numerically reproduce the known disorder-free phase diagram of a tunable, effective tight-binding model and analyze the evolution of the topological phase under disorder. |
| title | Coarse geometric approach to topological phases: Invariants from real-space representations |
| topic | Disordered Systems and Neural Networks |
| url | https://arxiv.org/abs/2407.16494 |