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

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 and Xi Lin ()
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Hailong Fu: Peking 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
Xi Lin: Peking University

Nature Communications, 2019, vol. 10, issue 1, 1-6

Abstract: 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.

Date: 2019
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DOI: 10.1038/s41467-019-12245-y

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