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Tunable even- and odd-denominator fractional quantum Hall states in trilayer graphene

Author

Listed:
  • Yiwei Chen

    (Nanjing University)

  • Yan Huang

    (Nanjing University)

  • Qingxin Li

    (Nanjing University)

  • Bingbing Tong

    (Chinese Academy of Sciences
    Hefei National Laboratory)

  • Guangli Kuang

    (High Magnetic Field Laboratory of the Chinese Academy of Science)

  • Chuanying Xi

    (High Magnetic Field Laboratory of the Chinese Academy of Science)

  • Kenji Watanabe

    (National Institute for Materials Science)

  • Takashi Taniguchi

    (National Institute for Materials Science)

  • Guangtong Liu

    (Chinese Academy of Sciences
    Hefei National Laboratory
    Songshan Lake Materials Laboratory)

  • Zheng Zhu

    (University of Chinese Academy of Sciences)

  • Li Lu

    (Chinese Academy of Sciences
    Hefei National Laboratory
    Songshan Lake Materials Laboratory)

  • Fu-Chun Zhang

    (University of Chinese Academy of Sciences
    University of Chinese Academy of Sciences
    Nanjing University)

  • Ying-Hai Wu

    (Huazhong University of Science and Technology)

  • Lei Wang

    (Nanjing University
    Nanjing University)

Abstract

Fractional quantum Hall (FQH) states are exotic quantum many-body phases whose elementary charged excitations are anyons obeying fractional braiding statistics. While most FQH states are believed to have Abelian anyons, the Moore–Read type states with even denominators – appearing at half filling of a Landau level (LL) – are predicted to possess non-Abelian excitations with appealing potential in topological quantum computation. These states, however, depend sensitively on the orbital contents of the single-particle LL wavefunctions and the LL mixing. Here we report magnetotransport measurements on Bernal-stacked trilayer graphene, whose multiband structure facilitates interlaced LL mixing, which can be controlled by external magnetic and displacement fields. We observe robust FQH states including even-denominator ones at filling factors ν = − 9/2, − 3/2, 3/2 and 9/2. In addition, we fine-tune the LL mixing and crossings to drive quantum phase transitions of these half-filling states and neighbouring odd-denominator ones, exhibiting related emerging and waning behaviour.

Suggested Citation

  • Yiwei Chen & Yan Huang & Qingxin Li & Bingbing Tong & Guangli Kuang & Chuanying Xi & Kenji Watanabe & Takashi Taniguchi & Guangtong Liu & Zheng Zhu & Li Lu & Fu-Chun Zhang & Ying-Hai Wu & Lei Wang, 2024. "Tunable even- and odd-denominator fractional quantum Hall states in trilayer graphene," Nature Communications, Nature, vol. 15(1), pages 1-7, December.
  • Handle: RePEc:nat:natcom:v:15:y:2024:i:1:d:10.1038_s41467-024-50589-2
    DOI: 10.1038/s41467-024-50589-2
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    References listed on IDEAS

    as
    1. Mitali Banerjee & Moty Heiblum & Vladimir Umansky & Dima E. Feldman & Yuval Oreg & Ady Stern, 2018. "Observation of half-integer thermal Hall conductance," Nature, Nature, vol. 559(7713), pages 205-210, July.
    2. Biswajit Datta & Santanu Dey & Abhisek Samanta & Hitesh Agarwal & Abhinandan Borah & Kenji Watanabe & Takashi Taniguchi & Rajdeep Sensarma & Mandar M. Deshmukh, 2017. "Strong electronic interaction and multiple quantum Hall ferromagnetic phases in trilayer graphene," Nature Communications, Nature, vol. 8(1), pages 1-7, April.
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