Even-denominator fractional quantum Hall states in bilayer graphene

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Abstract

The distinct Landau level spectrum of bilayer graphene (BLG) is predicted to support a non-abelian even-denominator fractional quantum Hall (FQH) state similar to the 5=2 state first identified in GaAs. However, the nature of this state has remained difficult to characterize. Here, we report transport measurements of a robust sequence of even-denominator FQH in dual-gated BLG devices. Parallel field measurement confirms the spin-polarized nature of the ground state, which is consistent with the Pfaffian/anti-Pfaffian description. The sensitivity of the even-denominator states to both filling fraction and transverse displacement field provides new opportunities for tunability. Our results suggest that BLG is a platform in which topological ground states with possible non-abelian excitations can be manipulated and controlled.

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Li, J. I. A., Tan, C., Chen, S., Zeng, Y., Taniguchi, T., Watanabe, K., … Dean, C. R. (2017). Even-denominator fractional quantum Hall states in bilayer graphene. Science, 358(6363), 648–652. https://doi.org/10.1126/science.aao2521

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