# Universality of quantum phase transitions in the integer and fractional quantum Hall regimes

https://mdr.nims.go.jp/datasets/33b536cf-b759-4c57-8963-b7b2d101ac3a

## File

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## Id

33b536cf-b759-4c57-8963-b7b2d101ac3a

## Local identifier



## Visibility

open_to_public

## State

published

## Created at

2025-02-05T08:18:21.504776Z

## Updated at

2025-02-06T03:31:21.603953Z

## Published at

2025-02-06T03:31:21.667548Z

## Doi



## First published url

https://doi.org/10.1038/s41467-024-52927-w

## Date published

2024-10-02

## Recorded date published



## Resource type

journal_article

## Manuscript type

vor

## Collection



## Title

- title: Universality of quantum phase transitions in the integer and fractional quantum
    Hall regimes
  title_type: original
  lang: en

## Description

- description: Understanding the interplay between disorder-induced localization and
    electronic interactions has been a longstanding quest in the physics of quantum
    materials. One of the most convincing demonstrations of the scaling theory of
    localization for non- interacting electrons has come from plateau transitions
    in the integer quantum Hall effect with short-range disorder, wherein the localization
    length diverges as the critical filling factor is approached with a measured scaling
    exponent close to the the- oretical estimates. In this work, we extend this physics
    to the fractional quantum Hall effect, a paradigmatic phenomenon arising from
    a confluence of interaction, disorder, and topology. We employ high mobility trilayer
    graphene devices where the transport is dominated by short-range impurity scattering,
    and the amount of Landau level mixing can be varied by a perpendicular electric
    field. Our principal finding is that the plateau-to-plateau transitions from n+1/3
    to n+2/5 and from n+2/5 to n+3/7 fractional states are governed by a universal
    scaling exponent, which is identical to that for the integer plateau transitions
    and is independent of the perpendicular electric field. These observations and
    the values of the critical filling factors are consistent with a description in
    terms of Anderson localization-delocalization transitions of weakly interacting
    electron-flux bound states called composite Fermions. This points to a universal
    effective physics underlying fractional and integer plateau-to-plateau tran- sitions
    independent of the quasiparticle statistics of the phases and unaffected by weak
    Landau level mixing. Besides clarifying the conditions for the realization of
    the scal- ing regime for composite fermions, the work opens the possibility of
    exploring a rich variety of plateau transitions realized in graphene including
    the fractional anomalous Hall phases, and non-abelian FQH states.
  description_type: abstract
  lang: und

## Creator

- name: Simrandeep Kaur
  role: author
- name: Tanima Chanda
  role: author
  orcid: https://orcid.org/0009-0003-3516-8890
- name: Kazi Rafsanjani Amin
  role: author
- name: Divya Sahani
  role: author
- name: Kenji Watanabe
  role: author
  orcid: https://orcid.org/0000-0003-3701-8119
- name: Takashi Taniguchi
  role: author
  orcid: https://orcid.org/0000-0002-1467-3105
- name: Unmesh Ghorai
  role: author
- name: Yuval Gefen
  role: author
  orcid: https://orcid.org/0009-0002-4553-6039
- name: G. J. Sreejith
  role: author
- name: Aveek Bid
  role: author
  orcid: https://orcid.org/0000-0002-2378-7980

## Contact agent



## Publisher

organization: Springer Science and Business Media LLC

## Managing organization



## Keyword

- subject: Fractional quantum Hall
  schema: not_defined
- subject: critical behavior
  schema: not_defined
- subject: trilayer graphene
  schema: not_defined

## Rights

- identifier: https://creativecommons.org/licenses/by-nc-nd/4.0/

## Other identifier(s)



## Data origin

- data_origin_type: other

## Embargo



## Journal

- title: Nature Communications
  issn: '20411723'
  volume: '15'
  issue: '1'
  article_number: '8535'

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## Funding

- funder_name: U.S. Army DEVCOM Indo-Pacific

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## Fileset

- id: 288548e1-b287-44f5-ba8f-6c9267319881
  filename: s41467-024-52927-w.pdf
  content_type: application/pdf
  size: 1153605
  md5: 71efe92b8c5a6882cdef205e1c4f6a70

## Thumbnail

fileset_id: 288548e1-b287-44f5-ba8f-6c9267319881
filename: s41467-024-52927-w.pdf