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

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 () and Lei Wang ()
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Yiwei Chen: Nanjing University
Yan Huang: Nanjing University
Qingxin Li: Nanjing University
Bingbing Tong: Chinese Academy of Sciences
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
Zheng Zhu: University of Chinese Academy of Sciences
Li Lu: Chinese Academy of Sciences
Fu-Chun Zhang: University of Chinese Academy of Sciences
Ying-Hai Wu: Huazhong University of Science and Technology
Lei Wang: Nanjing University

Nature Communications, 2024, vol. 15, issue 1, 1-7

Abstract: 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.

Date: 2024
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DOI: 10.1038/s41467-024-50589-2

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