# Fractional quantum anomalous Hall effect in multilayer graphene

https://mdr.nims.go.jp/datasets/454f96de-185c-45e2-ba5d-0716be530384

## File

- [2024A00243G_FQAH accepted manuscript.pdf](https://mdr.nims.go.jp/filesets/3b8a0315-5c17-48d0-a253-6493c66cb0b9/download) ([Detail](https://mdr.nims.go.jp/filesets/3b8a0315-5c17-48d0-a253-6493c66cb0b9.md))

## Id

454f96de-185c-45e2-ba5d-0716be530384

## Local identifier



## Visibility

open_to_public

## State

published

## Created at

2025-08-29T06:01:10.973405Z

## Updated at

2025-09-01T23:30:29.091501Z

## Published at

2025-09-01T23:17:17.658892Z

## Doi



## First published url

https://doi.org/10.1038/s41586-023-07010-7

## Date published

2024-02-22

## Recorded date published

2024-2-22

## Resource type

journal_article

## Manuscript type

accepted_manuscript

## Collection



## Title

- title: Fractional quantum anomalous Hall effect in multilayer graphene
  title_type: original
  lang: en

## Description

- description: The fractional quantum anomalous Hall effect (FQAHE), the analog of
    the fractional quantum Hall effect at zero magnetic field, is predicted to exist
    in topological flat bands under spontaneous time-reversal-symmetry breaking. The
    demonstration of FQAHE could lead to non-Abelian anyons which form the basis of
    topological quantum computation. So far, FQAHE has been observed only in twisted
    MoTe<sub>2</sub> at moiré filling factor <i>v</i> > 1/2. Graphene-based moiré
    superlattices are believed to host FQAHE with the potential advantage of superior
    material quality and higher electron mobility. Here we report the observation
    of integer and fractional QAH effects in a rhombohedral pentalayer graphene/hBN
    moiré superlattice. At zero magnetic field, we observed plateaus of quantized
    Hall resistance <i>R<sub>xy</sub></i> = <i>h/ve<sup>2</sup></i> at <i>v</i> =
    1, 2/3, 3/5, 4/7, 4/9, 3/7 and 2/5 of the moiré superlattice respectively, accompanied
    by clear dips in the longitudinal resistance <i>R<sub>xx</sub></i>. <i>R<sub>xy</sub></i>
    equals <i>2h</i>/<i>e<sup>2</sup></i> at <i>v</i> = 1/2 and varies linearly with
    <i>v</i> — similar to the composite Fermi liquid (CFL) in the half-filled lowest
    Landau level at high magnetic fields. By tuning the gate displacement field D
    and v, we observed phase transitions from CFL and FQAH states to other correlated
    electron states. Our system provides an ideal platform for exploring charge fractionalization
    and (non-Abelian) anyonic braiding at zero magnetic field, especially considering
    a lateral junction between FQAHE and superconducting regions in the same device.
  description_type: abstract
  lang: en

## Creator

- name: Zhengguang Lu
  role: author
- name: Tonghang Han
  role: author
- name: Yuxuan Yao
  role: author
- name: Aidan P. Reddy
  role: author
- name: Jixiang Yang
  role: author
- name: Junseok Seo
  role: author
- name: Kenji Watanabe
  role: author
  orcid: https://orcid.org/0000-0003-3701-8119
  organization: National Institute for Materials Science
- name: Takashi Taniguchi
  role: author
  orcid: https://orcid.org/0000-0002-1467-3105
  organization: National Institute for Materials Science
- name: Liang Fu
  role: author
- name: Long Ju
  role: author

## Contact agent



## Publisher

organization: Springer Science and Business Media LLC

## Managing organization



## Keyword

- subject: Fractional quantum anomalous Hall effect (FQAHE)
  schema: not_defined
- subject: Topological flat bands
  schema: not_defined
- subject: Non-Abelian anyons
  schema: not_defined

## Rights

- description: 'This version of the article has been accepted for publication, after
    peer review (when applicable) and is subject to Springer Nature’s <a href="https://www.springernature.com/gp/open-science/policies/accepted-manuscript-terms">AM
    terms of use</a>, but is not the Version of Record and does not reflect post-acceptance
    improvements, or any corrections. The Version of Record is available online at:
    http://dx.doi.org/10.1038/s41586-023-07010-7'
  identifier: http://rightsstatements.org/vocab/InC/1.0/

## Other identifier(s)



## Data origin

- data_origin_type: other

## Embargo

start_date: 2024-02-21
end_date: 2024-08-21

## Journal

- title: Nature
  issn: '00280836'
  volume: '626'
  issue: '8000'
  start_page: 759
  end_page: 764

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## Measurement method



## Specimen



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## Fileset

- id: 3b8a0315-5c17-48d0-a253-6493c66cb0b9
  filename: 2024A00243G_FQAH accepted manuscript.pdf
  content_type: application/pdf
  size: 2418637
  md5: 5a315dc05b251b5ffb235eb2dd7709ae

## Thumbnail

fileset_id: 3b8a0315-5c17-48d0-a253-6493c66cb0b9
filename: 2024A00243G_FQAH accepted manuscript.pdf