Parafermions in moiré minibands
Abstract Moiré materials provide a remarkably tunable platform for topological and strongly correlated quantum phases of matter. Very recently, the first Abelian fractional Chern insulators (FCIs) at zero magnetic field have been experimentally demonstrated, and it has been theoretically predicted t...
Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Nature Portfolio
2025-02-01
|
| Series: | Nature Communications |
| Online Access: | https://doi.org/10.1038/s41467-025-57035-x |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1850190465262944256 |
|---|---|
| author | Hui Liu Raul Perea-Causin Emil J. Bergholtz |
| author_facet | Hui Liu Raul Perea-Causin Emil J. Bergholtz |
| author_sort | Hui Liu |
| collection | DOAJ |
| description | Abstract Moiré materials provide a remarkably tunable platform for topological and strongly correlated quantum phases of matter. Very recently, the first Abelian fractional Chern insulators (FCIs) at zero magnetic field have been experimentally demonstrated, and it has been theoretically predicted that non-Abelian states with Majorana fermion excitations may be realized in the nearly dispersionless minibands of these systems. Here, we provide telltale evidence based on many-body exact diagonalization for the even more exotic possibility of moiré-based non-Abelian FCIs exhibiting Fibonacci parafermion excitations. In particular, we obtain low-energy quantum numbers, spectral flow, many-body Chern numbers, and entanglement spectra consistent with the $${{\mathbb{Z}}}_{3}$$ Z 3 Read–Rezayi parafermion phase in an exemplary moiré system with tunable quantum geometry. Our results hint towards the robustness of moiré-based parafermions and encourage the pursuit in moiré systems of these non-Abelian quasiparticles that are superior candidates for topological quantum computing. |
| format | Article |
| id | doaj-art-2ef893d867d5404bb4dc3fa8fd343aaf |
| institution | OA Journals |
| issn | 2041-1723 |
| language | English |
| publishDate | 2025-02-01 |
| publisher | Nature Portfolio |
| record_format | Article |
| series | Nature Communications |
| spelling | doaj-art-2ef893d867d5404bb4dc3fa8fd343aaf2025-08-20T02:15:16ZengNature PortfolioNature Communications2041-17232025-02-011611710.1038/s41467-025-57035-xParafermions in moiré minibandsHui Liu0Raul Perea-Causin1Emil J. Bergholtz2Department of Physics, Stockholm UniversityDepartment of Physics, Stockholm UniversityDepartment of Physics, Stockholm UniversityAbstract Moiré materials provide a remarkably tunable platform for topological and strongly correlated quantum phases of matter. Very recently, the first Abelian fractional Chern insulators (FCIs) at zero magnetic field have been experimentally demonstrated, and it has been theoretically predicted that non-Abelian states with Majorana fermion excitations may be realized in the nearly dispersionless minibands of these systems. Here, we provide telltale evidence based on many-body exact diagonalization for the even more exotic possibility of moiré-based non-Abelian FCIs exhibiting Fibonacci parafermion excitations. In particular, we obtain low-energy quantum numbers, spectral flow, many-body Chern numbers, and entanglement spectra consistent with the $${{\mathbb{Z}}}_{3}$$ Z 3 Read–Rezayi parafermion phase in an exemplary moiré system with tunable quantum geometry. Our results hint towards the robustness of moiré-based parafermions and encourage the pursuit in moiré systems of these non-Abelian quasiparticles that are superior candidates for topological quantum computing.https://doi.org/10.1038/s41467-025-57035-x |
| spellingShingle | Hui Liu Raul Perea-Causin Emil J. Bergholtz Parafermions in moiré minibands Nature Communications |
| title | Parafermions in moiré minibands |
| title_full | Parafermions in moiré minibands |
| title_fullStr | Parafermions in moiré minibands |
| title_full_unstemmed | Parafermions in moiré minibands |
| title_short | Parafermions in moiré minibands |
| title_sort | parafermions in moire minibands |
| url | https://doi.org/10.1038/s41467-025-57035-x |
| work_keys_str_mv | AT huiliu parafermionsinmoireminibands AT raulpereacausin parafermionsinmoireminibands AT emiljbergholtz parafermionsinmoireminibands |