Non-universal localization transition in the quantum Hall effect probed through broken-symmetry states of graphene
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_ | 1866909804790808576 |
|---|---|
| author | Zhang, Aifei Röper, Torsten Garg, Manjari Watanabe, Kenji Taniguchi, Takashi Altimiras, Carles Roche, Patrice Bocquillon, Erwann Maillet, Olivier Parmentier, François D. |
| author_facet | Zhang, Aifei Röper, Torsten Garg, Manjari Watanabe, Kenji Taniguchi, Takashi Altimiras, Carles Roche, Patrice Bocquillon, Erwann Maillet, Olivier Parmentier, François D. |
| contents | The quantum Hall effect hosts quantum phase transitions in which the localization length, that is the size of disorder-induced bulk localized states, is governed by universal scaling from percolation theory. However, this universal character is not systematically observed in experiments, including very recent ones in extremely clean devices. Here we explore this non-universality by systematically measuring the localization length in broken-symmetry quantum Hall states of graphene. Depending on the nature and gap size of these states, we observe differences of up to a tenfold in the minimum localization length, accompanied by clear deviations from universal scaling. Our results, as well as the previously observed non-universality, are fully captured by a simple picture based on the co-existence of localized states from two successive sub-Landau levels. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2509_20163 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Non-universal localization transition in the quantum Hall effect probed through broken-symmetry states of graphene Zhang, Aifei Röper, Torsten Garg, Manjari Watanabe, Kenji Taniguchi, Takashi Altimiras, Carles Roche, Patrice Bocquillon, Erwann Maillet, Olivier Parmentier, François D. Mesoscale and Nanoscale Physics The quantum Hall effect hosts quantum phase transitions in which the localization length, that is the size of disorder-induced bulk localized states, is governed by universal scaling from percolation theory. However, this universal character is not systematically observed in experiments, including very recent ones in extremely clean devices. Here we explore this non-universality by systematically measuring the localization length in broken-symmetry quantum Hall states of graphene. Depending on the nature and gap size of these states, we observe differences of up to a tenfold in the minimum localization length, accompanied by clear deviations from universal scaling. Our results, as well as the previously observed non-universality, are fully captured by a simple picture based on the co-existence of localized states from two successive sub-Landau levels. |
| title | Non-universal localization transition in the quantum Hall effect probed through broken-symmetry states of graphene |
| topic | Mesoscale and Nanoscale Physics |
| url | https://arxiv.org/abs/2509.20163 |