Ludewig, Matthias and Thiang, Guo Chuan (2022) Cobordism invariance of topological edge-following states. ADVANCES IN THEORETICAL AND MATHEMATICAL PHYSICS, 26 (3). pp. 673-710. ISSN 1095-0761, 1095-0753
Full text not available from this repository. (Request a copy)Abstract
We prove that a spectral gap-filling phenomenon occurs whenever a Hamiltonian operator encounters a coarse index obstruction upon compression to a domain with boundary. Furthermore, the gap-filling spectra contribute to quantised current channels, which follow and are localised at the possibly complicated boundary. This index obstruction is shown to be insensitive to deformations of the domain boundary, so the phenomenon is generic for magnetic Laplacians modelling quantum Hall systems and Chern topological insulators. A key construction is a quasi-equivariant version of Roe's algebra of locally compact finite propagation operators.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | GEOMETRY |
| Subjects: | 500 Science > 510 Mathematics |
| Divisions: | Mathematics |
| Depositing User: | Dr. Gernot Deinzer |
| Date Deposited: | 08 Feb 2024 07:43 |
| Last Modified: | 08 Feb 2024 07:43 |
| URI: | https://pred.uni-regensburg.de/id/eprint/57394 |
Actions (login required)
 |
View Item |
