Setescak, Christoph S. and Lewenkopf, Caio and Ludewig, Matthias (2025) Coarse geometric approach to topological phases: Invariants from real-space representations. PHYSICAL REVIEW B, 111 (10): 104207. ISSN 2469-9950, 2469-9969
Full text not available from this repository.Abstract
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.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | K-THEORY; INSULATOR; BI2SE3; STATE; EDGE |
| Subjects: | 500 Science > 510 Mathematics 500 Science > 530 Physics |
| Divisions: | Mathematics Physics > Institute of Experimental and Applied Physics |
| Depositing User: | Dr. Gernot Deinzer |
| Date Deposited: | 15 Jul 2026 08:22 |
| Last Modified: | 15 Jul 2026 08:22 |
| URI: | https://pred.uni-regensburg.de/id/eprint/66295 |
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