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Pierce, Andrew

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Pierce

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Andrew

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Pierce, Andrew

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Now showing 1 - 2 of 2
  • Publication

    Aharonov-Bohm Effect in Graphene-Based Fabry-Pérot Quantum Hall Interferometers

    (Springer Nature, 2021-02-25) Ronen, Yuval; Werkmeister, Thomas; Najafabadi, Danial; Pierce, Andrew; Anderson, Laurel; Shin, Young Jae; Lee, Si Young; Lee, Young Hee; Johnson, Bobae; Watanabe, Kenji; Taniguchi, Takashi; Yacoby, Amir; Kim, Philip

    Interferometers probe the wave-nature and exchange statistics of indistinguishable particles, for example electrons in the chiral one-dimensional edge channels of the quantum Hall effect (QHE). Quantum point contacts can split and recombine these channels, enabling interference of charged particles. Such quantum Hall interferometers (QHIs) can unveil the exchange statistics of anyonic quasiparticles in the fractional quantum Hall effect (FQHE). Here, we present a fabrication technique for QHIs in van der Waals (vdW) materials and realize a tunable, graphene-based Fabry-Pérot (FP) QHI. The graphite encapsulated architecture allows observation of FQHE at 3T magnetic field and precise partitioning of integer and fractional edge modes. We measure pure Aharonov-Bohm interference in the integer QHE, a major technical challenge in small FP interferometers, and find that edge modes exhibit high visibility interference due to large velocities. Our results establish vdW heterostructures as a versatile alternative to GaAs-based interferometers for future experiments targeting anyonic quasiparticles.

  • Publication

    Fractional Chern Insulators in Magic-Angle Twisted Bilayer Graphene

    (Springer Science and Business Media LLC, 2021-12-15) Xie, Yonglong; Pierce, Andrew; Park, Jeong Min; Parker, Daniel E.; Khalaf, Eslam; Ledwith, Patrick; Cao, Yuan; Lee, Seung Hwan; Chen, Shaowen; Forrester, Patrick R.; Watanabe, Kenji; Taniguchi, Takashi; Vishwanath, Ashvin; Jarillo-Herrero, Pablo; Yacoby, Amir

    AbstractFractional Chern insulators (FCIs) are lattice analogues of fractional quantum Hall states that may provide a new avenue towards manipulating non-Abelian excitations. Early theoretical studies1–7 have predicted their existence in systems with flat Chern bands and highlighted the critical role of a particular quantum geometry. However, FCI states have been observed only in Bernal-stacked bilayer graphene (BLG) aligned with hexagonal boron nitride (hBN)8, in which a very large magnetic field is responsible for the existence of the Chern bands, precluding the realization of FCIs at zero field. By contrast, magic-angle twisted BLG9–12 supports flat Chern bands at zero magnetic field13–17, and therefore offers a promising route towards stabilizing zero-field FCIs. Here we report the observation of eight FCI states at low magnetic field in magic-angle twisted BLG enabled by high-resolution local compressibility measurements. The first of these states emerge at 5 T, and their appearance is accompanied by the simultaneous disappearance of nearby topologically trivial charge density wave states. We demonstrate that, unlike the case of the BLG/hBN platform, the principal role of the weak magnetic field is merely to redistribute the Berry curvature of the native Chern bands and thereby realize a quantum geometry favourable for the emergence of FCIs. Our findings strongly suggest that FCIs may be realized at zero magnetic field and pave the way for the exploration and manipulation of anyonic excitations in flat moiré Chern bands.