Parent Berry Curvature and the Ideal Anomalous Hall Crystal
We study a model of electrons moving in a parent band of uniform Berry curvature. At sufficiently high parent Berry curvature, we show that strong repulsive interactions generically lead to the formation of an anomalous Hall crystal: a topological state with spontaneously broken continuous translati...
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| Format: | Article |
| Language: | English |
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American Physical Society
2024-11-01
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| Series: | Physical Review X |
| Online Access: | http://doi.org/10.1103/PhysRevX.14.041040 |
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| _version_ | 1832592116033781760 |
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| author | Tixuan Tan Trithep Devakul |
| author_facet | Tixuan Tan Trithep Devakul |
| author_sort | Tixuan Tan |
| collection | DOAJ |
| description | We study a model of electrons moving in a parent band of uniform Berry curvature. At sufficiently high parent Berry curvature, we show that strong repulsive interactions generically lead to the formation of an anomalous Hall crystal: a topological state with spontaneously broken continuous translation symmetry. Our results are established via a mapping to a problem of Wigner crystallization in a regular 2D electron gas. Interestingly, we find that a periodic electrostatic potential induces a competing state with opposite Chern number. Our theory offers a unified perspective for understanding several aspects of the recently observed integer and fractional quantum anomalous Hall effects in rhombohedral multilayer graphene and provides a recipe for engineering new topological states. |
| format | Article |
| id | doaj-art-e145ab9a6ec84524bc7b8240bfb036b2 |
| institution | Kabale University |
| issn | 2160-3308 |
| language | English |
| publishDate | 2024-11-01 |
| publisher | American Physical Society |
| record_format | Article |
| series | Physical Review X |
| spelling | doaj-art-e145ab9a6ec84524bc7b8240bfb036b22025-01-21T15:10:31ZengAmerican Physical SocietyPhysical Review X2160-33082024-11-0114404104010.1103/PhysRevX.14.041040Parent Berry Curvature and the Ideal Anomalous Hall CrystalTixuan TanTrithep DevakulWe study a model of electrons moving in a parent band of uniform Berry curvature. At sufficiently high parent Berry curvature, we show that strong repulsive interactions generically lead to the formation of an anomalous Hall crystal: a topological state with spontaneously broken continuous translation symmetry. Our results are established via a mapping to a problem of Wigner crystallization in a regular 2D electron gas. Interestingly, we find that a periodic electrostatic potential induces a competing state with opposite Chern number. Our theory offers a unified perspective for understanding several aspects of the recently observed integer and fractional quantum anomalous Hall effects in rhombohedral multilayer graphene and provides a recipe for engineering new topological states.http://doi.org/10.1103/PhysRevX.14.041040 |
| spellingShingle | Tixuan Tan Trithep Devakul Parent Berry Curvature and the Ideal Anomalous Hall Crystal Physical Review X |
| title | Parent Berry Curvature and the Ideal Anomalous Hall Crystal |
| title_full | Parent Berry Curvature and the Ideal Anomalous Hall Crystal |
| title_fullStr | Parent Berry Curvature and the Ideal Anomalous Hall Crystal |
| title_full_unstemmed | Parent Berry Curvature and the Ideal Anomalous Hall Crystal |
| title_short | Parent Berry Curvature and the Ideal Anomalous Hall Crystal |
| title_sort | parent berry curvature and the ideal anomalous hall crystal |
| url | http://doi.org/10.1103/PhysRevX.14.041040 |
| work_keys_str_mv | AT tixuantan parentberrycurvatureandtheidealanomaloushallcrystal AT trithepdevakul parentberrycurvatureandtheidealanomaloushallcrystal |