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3/2 fractional quantum Hall plateau in confined two-dimensional electron gas

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Listed:
  • Hailong Fu

    (Peking University
    The Pennsylvania State University)

  • Yijia Wu

    (Peking University)

  • Ruoxi Zhang

    (Peking University)

  • Jian Sun

    (Peking University)

  • Pujia Shan

    (Peking University)

  • Pengjie Wang

    (Peking University)

  • Zheyi Zhu

    (Peking University)

  • L. N. Pfeiffer

    (Princeton University)

  • K. W. West

    (Princeton University)

  • Haiwen Liu

    (Beijing Normal University)

  • X. C. Xie

    (Peking University
    Beijing Academy of Quantum Information Sciences
    University of Chinese Academy of Sciences)

  • Xi Lin

    (Peking University
    Beijing Academy of Quantum Information Sciences
    University of Chinese Academy of Sciences)

Abstract

Even-denominator fractional quantum Hall (FQH) states, such as 5/2 and 7/2, have been well known in a two-dimensional electron gas (2DEG) for decades and are still investigated as candidates of non-Abelian statistics. In this paper, we present the observation of a 3/2 FQH plateau in a single-layer 2DEG with lateral confinement at a bulk filling factor of 5/3. The 3/2 FQH plateau is quantized at $$\left( {\frac{h}{{e^2}}} \right)/\left( {\frac{3}{2}} \right)$$ h e 2 ∕ 3 2 within 0.02%, and can survive up to 300 mK. This even-denominator FQH plateau may imply intriguing edge structure and excitation in FQH system with lateral confinement. The observations in this work demonstrate that understanding the effect of the lateral confinement on the many-body system is critical in the pursuit of important theoretical proposals involving edge physics, such as the demonstration of non-Abelian statistics and the realization of braiding for fault-tolerant quantum computation.

Suggested Citation

  • Hailong Fu & Yijia Wu & Ruoxi Zhang & Jian Sun & Pujia Shan & Pengjie Wang & Zheyi Zhu & L. N. Pfeiffer & K. W. West & Haiwen Liu & X. C. Xie & Xi Lin, 2019. "3/2 fractional quantum Hall plateau in confined two-dimensional electron gas," Nature Communications, Nature, vol. 10(1), pages 1-6, December.
    • Handle: RePEc:nat:natcom:v:10:y:2019:i:1:d:10.1038_s41467-019-12245-y
    DOI: 10.1038/s41467-019-12245-y
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