Random-walk topological transition revealed via electron counting
- The appearance of topological effects in systems exhibiting a nontrivial topological band structure strongly relies on the coherent wave nature of the equations of motion. Here, we reveal topological dynamics in a classical stochastic random walk version of the Su-Schrieffer-Heeger model with no relation to coherent wave dynamics. We explain that the commonly used topological invariant in the momentum space translates into an invariant in a counting-field space. This invariant gives rise to clear signatures of the topological phase in an associated escape time distribution.
| Author: | Georg Engelhardt, Mónica BenitoORCiDGND, Gloria Platero, Gernot Schaller, Tobias Brandes |
|---|---|
| URN: | urn:nbn:de:bvb:384-opus4-1042862 |
| Frontdoor URL | https://opus.bibliothek.uni-augsburg.de/opus4/104286 |
| ISSN: | 2469-9969OPAC |
| Parent Title (English): | Physical Review B |
| Publisher: | American Physical Society (APS) |
| Place of publication: | College Park, MD |
| Type: | Article |
| Language: | English |
| Year of first Publication: | 2017 |
| Publishing Institution: | Universität Augsburg |
| Release Date: | 2023/05/10 |
| Volume: | 96 |
| First Page: | 241404(R) |
| DOI: | https://doi.org/10.1103/PhysRevB.96.241404 |
| Institutes: | Mathematisch-Naturwissenschaftlich-Technische Fakultät |
| Mathematisch-Naturwissenschaftlich-Technische Fakultät / Institut für Physik | |
| Mathematisch-Naturwissenschaftlich-Technische Fakultät / Institut für Physik / Professur für Quantencomputing und Quantengeräte | |
| Dewey Decimal Classification: | 5 Naturwissenschaften und Mathematik / 53 Physik / 530 Physik |
| Licence (German): |  Deutsches Urheberrecht |
