Please use this identifier to cite or link to this item:
http://dx.doi.org/10.25673/120216| Title: | Topological indices for periodic gapped Hamiltonians and fuzzy tori |
| Author(s): | Doll, Nora Christine Loring, Terry A. Schulz-Baldes, Hermann |
| Issue Date: | 2025 |
| Type: | Article |
| Language: | English |
| Abstract: | A variety of local index formulas is constructed for gapped quantum Hamiltonians with periodic boundary conditions. All dimensions of physical space as well as many symmetry constraints are covered, notably one-dimensional systems in Class DIII as well as two- and three-dimensional systems in Class AII. The constructions are based on several periodic variations of the spectral localizer and are rooted in the existence of underlying fuzzy tori. For these latter, a general invariant theory is developed. |
| URI: | https://opendata.uni-halle.de//handle/1981185920/122175 http://dx.doi.org/10.25673/120216 |
| Open Access: |  Open access publication |
| License: |  (CC BY 4.0) Creative Commons Attribution 4.0 |
| Journal Title: | Mathematical physics, analysis and geometry |
| Publisher: | Springer Science + Business Media B.V |
| Publisher Place: | Dordrecht [u.a.] |
| Volume: | 28 |
| Original Publication: | 10.1007/s11040-025-09508-0 |
| Page Start: | 1 |
| Page End: | 47 |
| Appears in Collections: | Open Access Publikationen der MLU |
Files in This Item:
| File | Description | Size | Format | |
|---|---|---|---|---|
| s11040-025-09508-0.pdf | 685.58 kB | Adobe PDF |  View/Open |