Fractional quantum Hall effect with unconventional pairing in monolayer graphene

Motivated by the observation of even denominator fractional quantum Hall effect in the n=3 Landau level of monolayer graphene [Kim et al., Nat. Phys. 15, 154 (2019)], we consider a Bardeen-Cooper-Schrieffer variational state for composite fermions and find that the composite-fermion Fermi sea in this Landau level is unstable to an f-wave pairing. Analogous calculation suggests the possibility of a p-wave pairing of composite fermions at half filling in the n=2 graphene Landau level, whereas no pairing instability is found at half filling in the n=0 and n=1 graphene Landau levels. The relevance of these results to experiments is discussed.

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Work Title Fractional quantum Hall effect with unconventional pairing in monolayer graphene
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Open Access
Creators
  1. Anirban Sharma
  2. Songyang Pu
  3. Ajit C. Balram
  4. Jainendra Jain
License CC BY 4.0 (Attribution)
Work Type Article
Acknowledgments
  1. National Science Foundation for financial support under grant no. DMR-2037990; U.S. Department of Energy, Office of Basic Energy Sciences, under Grant no. DE-SC-0005042
Publisher
  1. Physical Review Letters
Publication Date March 21, 2023
Publisher Identifier (DOI)
  1. https://doi.org/10.1103/PhysRevLett.130.126201
Deposited October 19, 2023

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Version 1
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  • Created

    October 19, 2023 17:39 by jkj2

  • Updated

    October 19, 2023 17:39 by [unknown user]

  • Updated Acknowledgments Show Changes

    October 19, 2023 17:41 by jkj2

    Acknowledgments
    • Na- tional Science Foundation for financial support under grant no. DMR-2037990; U.S. Department of Energy, Office of Ba- sic Energy Sciences, under Grant no. DE-SC-0005042
  • Added Creator Jainendra Jain

    October 19, 2023 17:41 by jkj2

  • Added 2212.01706.pdf

    October 19, 2023 17:41 by jkj2

  • Updated License Show Changes

    October 19, 2023 17:41 by jkj2

    License
    • https://creativecommons.org/licenses/by/4.0/
  • Published

    October 19, 2023 17:41 by jkj2

  • Updated Publisher, Publisher Identifier (DOI), Description, and 2 more Show Changes

    October 20, 2023 13:24 by avs5190

    Publisher
    • Physical Review Letters
    Publisher Identifier (DOI)
    • 10.1103/PhysRevLett.130.126201
    • https://doi.org/10.1103/PhysRevLett.130.126201
    Description
    • Motivated by the observation of even denominator fractional quantum Hall effect in the n= 3 Landau level of monolayer graphene [Kim et al., Nat. Phys. 15, 154 (2019)], we consider a Bardeen-Cooper-Schrieffer variational state for composite fermions and find that the composite-fermion Fermi sea in this Landau level is unstable to an f-wave pairing. Analogous calculation suggests the possibility of a p-wave pairing of composite fermions at half filling in the n= 2 graphene Landau level, whereas no pairing instability is found at half filling in the n= 0 and n= 1 graphene Landau levels. The relevance of these results to experiments is discussed.
    • Motivated by the observation of even denominator fractional quantum Hall effect in the n=3 Landau level of monolayer graphene [Kim et al., Nat. Phys. 15, 154 (2019)], we consider a Bardeen-Cooper-Schrieffer variational state for composite fermions and find that the composite-fermion Fermi sea in this Landau level is unstable to an f-wave pairing. Analogous calculation suggests the possibility of a p-wave pairing of composite fermions at half filling in the n=2 graphene Landau level, whereas no pairing instability is found at half filling in the n=0 and n=1 graphene Landau levels. The relevance of these results to experiments is discussed.
    Related URLs
    • https://journals.aps.org/prl/abstract/10.1103/PhysRevLett.130.126201
    Publication Date
    • 2023
    • 2023-03-21
  • Updated Acknowledgments Show Changes

    October 20, 2023 13:25 by avs5190

    Acknowledgments
    • Na- tional Science Foundation for financial support under grant no. DMR-2037990; U.S. Department of Energy, Office of Ba- sic Energy Sciences, under Grant no. DE-SC-0005042
    • National Science Foundation for financial support under grant no. DMR-2037990; U.S. Department of Energy, Office of Basic Energy Sciences, under Grant no. DE-SC-0005042
  • Updated Creator Jainendra Jain

    October 20, 2023 13:25 by avs5190

  • Added Creator Anirban Sharma

    October 20, 2023 13:25 by avs5190

  • Added Creator Songyang Pu

    October 20, 2023 13:25 by avs5190

  • Added Creator Ajit C. Balram

    October 20, 2023 13:25 by avs5190

  • Updated

    April 04, 2024 10:22 by [unknown user]