Extended Fractional Chern Insulators Near Half Flux in Twisted Bilayer Graphene Above the Magic Angle

Joe Finney; Aaron L. Sharpe; Linsey K. Rodenbach; Jian Kang; Xiaoyu Wang; Kenji Watanabe; Takashi Taniguchi; Marc A. Kastner; Oskar Vafek; David Goldhaber-Gordon

arXiv · 2503.12819

Extended Fractional Chern Insulators Near Half Flux in Twisted Bilayer Graphene Above the Magic Angle

Joe Finney·Aaron L. Sharpe·Linsey K. Rodenbach·Jian Kang·Xiaoyu Wang·Kenji Watanabe·Takashi Taniguchi·Marc A. Kastner·Oskar Vafek·David Goldhaber-Gordon

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Abstract

Fractional Chern insulators (FCIs) -- the lattice analog of fractional quantum Hall states -- form as fractionalized quasiparticles emerge in a partially-filled Chern band. This fractionalization is driven by the interplay of electronic interaction and quantum geometry of the underlying wavefunctions. Bilayer graphene with an interlayer twist near the magic angle of 1.1\textdegree\ hosts diverse correlated electronic states at zero magnetic field. When the twist angle exceeds 1.3\textdegree, the electronic bandwidth is sufficient to suppress the zero-field correlated states. Yet applying a magnetic field can restore the importance of electron-electron interactions. Here, we report strongly-correlated phases when a 1.37\textdegree\ twisted bilayer graphene sample is tuned to near half a magnetic flux quantum per moir\'e cell, deep into the Hofstadter regime. Most notably, well-quantized odd-denominator FCI states appear in multiple Hofstadter subbands over unusually large ranges of density. We also observe a bending and resetting of the Landau minifan reminiscent of behavior commonly seen in magic-angle samples near integer filling at low magnetic field.

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Joe Finney, Aaron L. Sharpe, Linsey K. Rodenbach, Jian Kang, Xiaoyu Wang, Kenji Watanabe, Takashi Taniguchi, Marc A. Kastner, Oskar Vafek, David Goldhaber-Gordon. 2025-03-17. Extended Fractional Chern Insulators Near Half Flux in Twisted Bilayer Graphene Above the Magic Angle. https://arxiv.org/abs/2503.12819

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