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Observation of fractionally quantized anomalous Hall effect

Author

Listed:
  • Heonjoon Park

    (University of Washington)

  • Jiaqi Cai

    (University of Washington)

  • Eric Anderson

    (University of Washington)

  • Yinong Zhang

    (University of Washington)

  • Jiayi Zhu

    (University of Washington)

  • Xiaoyu Liu

    (University of Washington)

  • Chong Wang

    (University of Washington)

  • William Holtzmann

    (University of Washington)

  • Chaowei Hu

    (University of Washington)

  • Zhaoyu Liu

    (University of Washington)

  • Takashi Taniguchi

    (National Institute for Materials Science)

  • Kenji Watanabe

    (National Institute for Materials Science)

  • Jiun-Haw Chu

    (University of Washington)

  • Ting Cao

    (University of Washington)

  • Liang Fu

    (Massachusetts Institute of Technology)

  • Wang Yao

    (University of Hong Kong
    University of Hong Kong)

  • Cui-Zu Chang

    (The Pennsylvania State University)

  • David Cobden

    (University of Washington)

  • Di Xiao

    (University of Washington
    University of Washington)

  • Xiaodong Xu

    (University of Washington
    University of Washington)

Abstract

The integer quantum anomalous Hall (QAH) effect is a lattice analogue of the quantum Hall effect at zero magnetic field1–3. This phenomenon occurs in systems with topologically non-trivial bands and spontaneous time-reversal symmetry breaking. Discovery of its fractional counterpart in the presence of strong electron correlations, that is, the fractional QAH effect4–7, would open a new chapter in condensed matter physics. Here we report the direct observation of both integer and fractional QAH effects in electrical measurements on twisted bilayer MoTe2. At zero magnetic field, near filling factor ν = −1 (one hole per moiré unit cell), we see an integer QAH plateau in the Hall resistance Rxy quantized to h/e2 ± 0.1%, whereas the longitudinal resistance Rxx vanishes. Remarkably, at ν = −2/3 and −3/5, we see plateau features in Rxy at $$\frac{3}{2}h/{e}^{2}\pm 1 \% $$ 3 2 h / e 2 ± 1 % and $$\frac{5}{3}h/{e}^{2}\pm 3 \% $$ 5 3 h / e 2 ± 3 % , respectively, whereas Rxx remains small. All features shift linearly versus applied magnetic field with slopes matching the corresponding Chern numbers −1, −2/3 and −3/5, precisely as expected for integer and fractional QAH states. Additionally, at zero magnetic field, Rxy is approximately 2h/e2 near half-filling (ν = −1/2) and varies linearly as ν is tuned. This behaviour resembles that of the composite Fermi liquid in the half-filled lowest Landau level of a two-dimensional electron gas at high magnetic field8–14. Direct observation of the fractional QAH and associated effects enables research in charge fractionalization and anyonic statistics at zero magnetic field.

Suggested Citation

  • Heonjoon Park & Jiaqi Cai & Eric Anderson & Yinong Zhang & Jiayi Zhu & Xiaoyu Liu & Chong Wang & William Holtzmann & Chaowei Hu & Zhaoyu Liu & Takashi Taniguchi & Kenji Watanabe & Jiun-Haw Chu & Ting , 2023. "Observation of fractionally quantized anomalous Hall effect," Nature, Nature, vol. 622(7981), pages 74-79, October.
  • Handle: RePEc:nat:nature:v:622:y:2023:i:7981:d:10.1038_s41586-023-06536-0
    DOI: 10.1038/s41586-023-06536-0
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    Citations

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    Cited by:

    1. Jinjae Kim & Jiwon Park & Hyojin Choi & Taeho Kim & Soonyoung Cha & Yewon Lee & Kenji Watanabe & Takashi Taniguchi & Jonghwan Kim & Moon-Ho Jo & Hyunyong Choi, 2024. "Correlation-driven nonequilibrium exciton site transition in a WSe2/WS2 moiré supercell," Nature Communications, Nature, vol. 15(1), pages 1-9, December.
    2. Feng-Ren Fan & Cong Xiao & Wang Yao, 2024. "Intrinsic dipole Hall effect in twisted MoTe2: magnetoelectricity and contact-free signatures of topological transitions," Nature Communications, Nature, vol. 15(1), pages 1-7, December.
    3. Richen Xiong & Samuel L. Brantly & Kaixiang Su & Jacob H. Nie & Zihan Zhang & Rounak Banerjee & Hayley Ruddick & Kenji Watanabe & Takashi Taniguchi & Seth Ariel Tongay & Cenke Xu & Chenhao Jin, 2024. "Tunable exciton valley-pseudospin orders in moiré superlattices," Nature Communications, Nature, vol. 15(1), pages 1-10, December.
    4. Chao Chang & Xiaowen Zhang & Weixuan Li & Quanlin Guo & Zuo Feng & Chen Huang & Yunlong Ren & Yingying Cai & Xu Zhou & Jinhuan Wang & Zhilie Tang & Feng Ding & Wenya Wei & Kaihui Liu & Xiaozhi Xu, 2024. "Remote epitaxy of single-crystal rhombohedral WS2 bilayers," Nature Communications, Nature, vol. 15(1), pages 1-7, December.
    5. Jesse C. Hoke & Yifan Li & Julian May-Mann & Kenji Watanabe & Takashi Taniguchi & Barry Bradlyn & Taylor L. Hughes & Benjamin E. Feldman, 2024. "Uncovering the spin ordering in magic-angle graphene via edge state equilibration," Nature Communications, Nature, vol. 15(1), pages 1-7, December.
    6. Xiao-Wei Zhang & Chong Wang & Xiaoyu Liu & Yueyao Fan & Ting Cao & Di Xiao, 2024. "Polarization-driven band topology evolution in twisted MoTe2 and WSe2," Nature Communications, Nature, vol. 15(1), pages 1-8, December.

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