Proximity effects and a topological invariant in a Chern insulator connected to leads
Fuente:
arXiv
Guardado en:
| Autores principales: | , , , , |
|---|---|
| Formato: | Preprint |
| Publicado: |
2025
|
| Materias: | |
| Acceso en línea: | |
| Etiquetas: |
Agregar Etiqueta
Sin Etiquetas, Sea el primero en etiquetar este registro!
|
| _version_ | 1866918248856944640 |
|---|---|
| author | Sinha, Satyam Kumari, Rekha Bhat, Junaid Majeed Dhar, Abhishek Shankar, R. |
| author_facet | Sinha, Satyam Kumari, Rekha Bhat, Junaid Majeed Dhar, Abhishek Shankar, R. |
| contents | The observed robustly quantized Hall conductance in quantum Hall systems and Chern insulators (CI) have so far been understood in terms of the topology of isolated systems, which are not coupled to leads. It is assumed that the leads act as inert reservoirs that simply supply/absorb electrons to/from the sample. Within a model of a CI coupled to leads with a cylindrical geometry, we show that this is not true. In the proximity of the CI, the edge current leaks into the leads, with the Hall conductance quantized only if this novel proximity effect is taken into account. For a special choice of leads, we identify the conductance with a topological invariant of the system, in terms of the winding number of the phase of the reflection coefficients of the scattering states. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2512_12746 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Proximity effects and a topological invariant in a Chern insulator connected to leads Sinha, Satyam Kumari, Rekha Bhat, Junaid Majeed Dhar, Abhishek Shankar, R. Mesoscale and Nanoscale Physics Other Condensed Matter Statistical Mechanics Quantum Physics The observed robustly quantized Hall conductance in quantum Hall systems and Chern insulators (CI) have so far been understood in terms of the topology of isolated systems, which are not coupled to leads. It is assumed that the leads act as inert reservoirs that simply supply/absorb electrons to/from the sample. Within a model of a CI coupled to leads with a cylindrical geometry, we show that this is not true. In the proximity of the CI, the edge current leaks into the leads, with the Hall conductance quantized only if this novel proximity effect is taken into account. For a special choice of leads, we identify the conductance with a topological invariant of the system, in terms of the winding number of the phase of the reflection coefficients of the scattering states. |
| title | Proximity effects and a topological invariant in a Chern insulator connected to leads |
| topic | Mesoscale and Nanoscale Physics Other Condensed Matter Statistical Mechanics Quantum Physics |
| url | https://arxiv.org/abs/2512.12746 |