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Fractional Chern insulators in magic-angle twisted bilayer graphene

Fractional Chern insulators (FCIs) are lattice analogues of fractional quantum Hall states that may provide a new avenue towards manipulating non-Abelian excitations. Early theoretical studies(1–7) have predicted their existence in systems with flat Chern bands and highlighted the critical role of a...

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Autores principales: Xie, Yonglong, Pierce, Andrew T., Park, Jeong Min, Parker, Daniel E., Khalaf, Eslam, Ledwith, Patrick, Cao, Yuan, Lee, Seung Hwan, Chen, Shaowen, Forrester, Patrick R., Watanabe, Kenji, Taniguchi, Takashi, Vishwanath, Ashvin, Jarillo-Herrero, Pablo, Yacoby, Amir
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Nature Publishing Group UK 2021
Materias:
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC8674130/
https://www.ncbi.nlm.nih.gov/pubmed/34912084
http://dx.doi.org/10.1038/s41586-021-04002-3
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author Xie, Yonglong
Pierce, Andrew T.
Park, Jeong Min
Parker, Daniel E.
Khalaf, Eslam
Ledwith, Patrick
Cao, Yuan
Lee, Seung Hwan
Chen, Shaowen
Forrester, Patrick R.
Watanabe, Kenji
Taniguchi, Takashi
Vishwanath, Ashvin
Jarillo-Herrero, Pablo
Yacoby, Amir
author_facet Xie, Yonglong
Pierce, Andrew T.
Park, Jeong Min
Parker, Daniel E.
Khalaf, Eslam
Ledwith, Patrick
Cao, Yuan
Lee, Seung Hwan
Chen, Shaowen
Forrester, Patrick R.
Watanabe, Kenji
Taniguchi, Takashi
Vishwanath, Ashvin
Jarillo-Herrero, Pablo
Yacoby, Amir
author_sort Xie, Yonglong
collection PubMed
description Fractional Chern insulators (FCIs) are lattice analogues of fractional quantum Hall states that may provide a new avenue towards manipulating non-Abelian excitations. Early theoretical studies(1–7) have predicted their existence in systems with flat Chern bands and highlighted the critical role of a particular quantum geometry. However, FCI states have been observed only in Bernal-stacked bilayer graphene (BLG) aligned with hexagonal boron nitride (hBN)(8), in which a very large magnetic field is responsible for the existence of the Chern bands, precluding the realization of FCIs at zero field. By contrast, magic-angle twisted BLG(9–12) supports flat Chern bands at zero magnetic field(13–17), and therefore offers a promising route towards stabilizing zero-field FCIs. Here we report the observation of eight FCI states at low magnetic field in magic-angle twisted BLG enabled by high-resolution local compressibility measurements. The first of these states emerge at 5 T, and their appearance is accompanied by the simultaneous disappearance of nearby topologically trivial charge density wave states. We demonstrate that, unlike the case of the BLG/hBN platform, the principal role of the weak magnetic field is merely to redistribute the Berry curvature of the native Chern bands and thereby realize a quantum geometry favourable for the emergence of FCIs. Our findings strongly suggest that FCIs may be realized at zero magnetic field and pave the way for the exploration and manipulation of anyonic excitations in flat moiré Chern bands.
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spelling pubmed-86741302021-12-29 Fractional Chern insulators in magic-angle twisted bilayer graphene Xie, Yonglong Pierce, Andrew T. Park, Jeong Min Parker, Daniel E. Khalaf, Eslam Ledwith, Patrick Cao, Yuan Lee, Seung Hwan Chen, Shaowen Forrester, Patrick R. Watanabe, Kenji Taniguchi, Takashi Vishwanath, Ashvin Jarillo-Herrero, Pablo Yacoby, Amir Nature Article Fractional Chern insulators (FCIs) are lattice analogues of fractional quantum Hall states that may provide a new avenue towards manipulating non-Abelian excitations. Early theoretical studies(1–7) have predicted their existence in systems with flat Chern bands and highlighted the critical role of a particular quantum geometry. However, FCI states have been observed only in Bernal-stacked bilayer graphene (BLG) aligned with hexagonal boron nitride (hBN)(8), in which a very large magnetic field is responsible for the existence of the Chern bands, precluding the realization of FCIs at zero field. By contrast, magic-angle twisted BLG(9–12) supports flat Chern bands at zero magnetic field(13–17), and therefore offers a promising route towards stabilizing zero-field FCIs. Here we report the observation of eight FCI states at low magnetic field in magic-angle twisted BLG enabled by high-resolution local compressibility measurements. The first of these states emerge at 5 T, and their appearance is accompanied by the simultaneous disappearance of nearby topologically trivial charge density wave states. We demonstrate that, unlike the case of the BLG/hBN platform, the principal role of the weak magnetic field is merely to redistribute the Berry curvature of the native Chern bands and thereby realize a quantum geometry favourable for the emergence of FCIs. Our findings strongly suggest that FCIs may be realized at zero magnetic field and pave the way for the exploration and manipulation of anyonic excitations in flat moiré Chern bands. Nature Publishing Group UK 2021-12-15 2021 /pmc/articles/PMC8674130/ /pubmed/34912084 http://dx.doi.org/10.1038/s41586-021-04002-3 Text en © The Author(s) 2021 https://creativecommons.org/licenses/by/4.0/Open Access This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made. The images or other third party material in this article are included in the article’s Creative Commons license, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons license and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this license, visit http://creativecommons.org/licenses/by/4.0/ (https://creativecommons.org/licenses/by/4.0/) .
spellingShingle Article
Xie, Yonglong
Pierce, Andrew T.
Park, Jeong Min
Parker, Daniel E.
Khalaf, Eslam
Ledwith, Patrick
Cao, Yuan
Lee, Seung Hwan
Chen, Shaowen
Forrester, Patrick R.
Watanabe, Kenji
Taniguchi, Takashi
Vishwanath, Ashvin
Jarillo-Herrero, Pablo
Yacoby, Amir
Fractional Chern insulators in magic-angle twisted bilayer graphene
title Fractional Chern insulators in magic-angle twisted bilayer graphene
title_full Fractional Chern insulators in magic-angle twisted bilayer graphene
title_fullStr Fractional Chern insulators in magic-angle twisted bilayer graphene
title_full_unstemmed Fractional Chern insulators in magic-angle twisted bilayer graphene
title_short Fractional Chern insulators in magic-angle twisted bilayer graphene
title_sort fractional chern insulators in magic-angle twisted bilayer graphene
topic Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC8674130/
https://www.ncbi.nlm.nih.gov/pubmed/34912084
http://dx.doi.org/10.1038/s41586-021-04002-3
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