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<p>The fractional quantum Hall effect at half-filled Landau levels provides a promising route to unusual topological phases that may host non-Abelian excitations, but these states are often fragile and difficult to control experimentally. Here, we report the observation of a cascade of even-denominator fractional quantum Hall states at fillings <i>ν</i> = −5/2, −7/2, −9/2, −11/2 and −13/2, alongside numerous odd-denominator states in mixed-stacked pentalayer graphene—a system characterized by intertwined quadratic and cubic band dispersions. These even-denominator states emerge from two distinct intra-zeroth Landau levels and exhibit displacement-field tunability. At half fillings, continuous quantum phase transitions between even-denominator states, magnetic Bloch states, and composite Fermi liquids are clearly identified upon tuning external fields. Numerical calculations support possible Moore–Read type pairing for even-denominator states, although direct probes of their exchange statistics remain important for future experiments. These results establish mixed-stacked graphene as a versatile platform for tunable correlated topological phases.</p>

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Cascade of even-denominator fractional quantum Hall states in mixed-stacked multilayer graphene

  • 期刊论文

  • 出版模式：

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  • 发表日期：

    2026年5月13日

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  • Yating Sha,
  • Kai Liu,
  • Chenxin Jiang,
  • Dan Ye,
  • Shuhan Liu,
  • Zhongxun Guo,
  • Jingjing Gao,
  • Ming Tian,
  • Neng Wan,
  • Kenji Watanabe,
  • Takashi Taniguchi,
  • Bingbing Tong,
  • Guangtong Liu,
  • Li Lu,
  • Yuanbo Zhang,
  • Zhiwen Shi,
  • Zixiang Hu,
  • Guorui Chen

摘要

The fractional quantum Hall effect at half-filled Landau levels provides a promising route to unusual topological phases that may host non-Abelian excitations, but these states are often fragile and difficult to control experimentally. Here, we report the observation of a cascade of even-denominator fractional quantum Hall states at fillings ν = −5/2, −7/2, −9/2, −11/2 and −13/2, alongside numerous odd-denominator states in mixed-stacked pentalayer graphene—a system characterized by intertwined quadratic and cubic band dispersions. These even-denominator states emerge from two distinct intra-zeroth Landau levels and exhibit displacement-field tunability. At half fillings, continuous quantum phase transitions between even-denominator states, magnetic Bloch states, and composite Fermi liquids are clearly identified upon tuning external fields. Numerical calculations support possible Moore–Read type pairing for even-denominator states, although direct probes of their exchange statistics remain important for future experiments. These results establish mixed-stacked graphene as a versatile platform for tunable correlated topological phases.