The bulk-edge correspondence for curved interfaces
Fuente:
arXiv
Gespeichert in:
| Hauptverfasser: | , |
|---|---|
| Format: | Preprint |
| Veröffentlicht: |
2024
|
| Schlagworte: | |
| Online-Zugang: | |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| _version_ | 1866914913363951616 |
|---|---|
| author | Drouot, Alexis Zhu, Xiaowen |
| author_facet | Drouot, Alexis Zhu, Xiaowen |
| contents | The bulk-edge correspondence is a condensed matter theorem that relates the conductance of a Hall insulator in a half-plane to that of its (straight) boundary. In this work, we extend this result to domains with curved boundaries.
Under mild geometric assumptions, we prove that the edge conductance of a topological insulator sample is an integer multiple of its Hall conductance. This integer counts the algebraic number of times that the interface (suitably oriented) enters the measurement set. This result provides a rigorous proof of a well-known experimental observation: arbitrarily truncated topological insulators support edge currents, regardless of the shape of their boundary. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2408_07950 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | The bulk-edge correspondence for curved interfaces Drouot, Alexis Zhu, Xiaowen Mathematical Physics Mesoscale and Nanoscale Physics Spectral Theory The bulk-edge correspondence is a condensed matter theorem that relates the conductance of a Hall insulator in a half-plane to that of its (straight) boundary. In this work, we extend this result to domains with curved boundaries. Under mild geometric assumptions, we prove that the edge conductance of a topological insulator sample is an integer multiple of its Hall conductance. This integer counts the algebraic number of times that the interface (suitably oriented) enters the measurement set. This result provides a rigorous proof of a well-known experimental observation: arbitrarily truncated topological insulators support edge currents, regardless of the shape of their boundary. |
| title | The bulk-edge correspondence for curved interfaces |
| topic | Mathematical Physics Mesoscale and Nanoscale Physics Spectral Theory |
| url | https://arxiv.org/abs/2408.07950 |