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Fractional anomalous Hall transport in pentalayer graphene

Contribution grade

Condensed matter and topological phases · Source-reported experimental result or reusable measurement method

Reference score125,000Provisional editorial estimate of this exact contribution; its grade is assessed separately.

What changed

Lu and colleagues measured magnetotransport in rhombohedral five-layer graphene aligned with hexagonal boron nitride. In two devices they reported integer and fractional anomalous Hall signatures; selected zero-field Hall-resistance plateaus at fractional fillings on both sides of one half accompanied dips in longitudinal resistance. Field sweeps showed hysteresis, and the density–field slopes were compared with fractional Hall-state expectations. Near half filling, a continuously varying Hall response resembled a composite Fermi liquid.

Scientific scope

Lu and colleagues measured magnetotransport in rhombohedral five-layer graphene aligned with hexagonal boron nitride. In two devices they reported integer and fractional anomalous Hall signatures; selected zero-field Hall-resistance plateaus at fractional fillings on both sides of one half accompanied dips in longitudinal resistance. Field sweeps showed hysteresis, and the density–field slopes were compared with fractional Hall-state expectations. Near half filling, a continuously varying Hall response resembled a composite Fermi liquid. The main data shown are from one selected device at millikelvin temperatures and tuned density and displacement field; the second-device data are referenced in extended figures absent from this preprint. Phase maps use symmetrized and antisymmetrized measurements at ±0.1 T, while hysteresis traces include zero field after field sweeps. Fractional plateau precision and longitudinal dissipation vary with filling; a dip does not prove exactly zero dissipation. Half-filling composite-Fermi-liquid and continuous-transition identifications are interpretations, not unique direct proofs. The four-figure manuscript does not contain the cited Methods or extended data; calibration, second-device evidence and raw-data replay remain open. It does not observe fractional charge or braiding statistics.

Evidence

The linked original works support the scoped statement and contribution attribution. WRS has not independently replayed experiments or reconstructed a full mathematical proof. The main data shown are from one selected device at millikelvin temperatures and tuned density and displacement field; the second-device data are referenced in extended figures absent from this preprint. Phase maps use symmetrized and antisymmetrized measurements at ±0.1 T, while hysteresis traces include zero field after field sweeps. Fractional plateau precision and longitudinal dissipation vary with filling; a dip does not prove exactly zero dissipation. Half-filling composite-Fermi-liquid and continuous-transition identifications are interpretations, not unique direct proofs. The four-figure manuscript does not contain the cited Methods or extended data; calibration, second-device evidence and raw-data replay remain open. It does not observe fractional charge or braiding statistics.

Contributors

Provisional WRS assessment, edition 2026-10-28.1. Independent expert calibration is pending. This grade does not certify correctness or assign ownership.

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