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Fractional Chern mosaic in supermoir\'e graphene

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arxiv 2411.08880 v1 pith:OIH6ZYDH submitted 2024-11-13 cond-mat.str-el cond-mat.mes-hall

Fractional Chern mosaic in supermoir\'e graphene

Yves H. Kwan , Tixuan Tan , Trithep Devakul This is my paper
classification cond-mat.str-el cond-mat.mes-hall
keywords chernfractionalmosaicsupermoirfractionalizationgraphenemoirscale
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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We propose the realization of a fractional Chern mosaic: a state characterized by a spatially varying topological order. This state is enabled by a separation of length scales that emerges when three graphene sheets are sequentially rotated by a small twist angle. The resulting structure features not only conventional moir\'e lattices, but also a much larger supermoir\'e lattice. We demonstrate that a fractional Chern mosaic arises when electron correlations induce fractionalization locally on the moir\'e scale, while the pattern of fractionalization varies at the supermoir\'e scale.

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Cited by 3 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score.

  1. Mesoscopic transport in a Chern mosaic

    cond-mat.mes-hall 2026-04 unverdicted novelty 7.0

    Simple domain-wall networks in Chern mosaics produce zero, integer, or fractional multiples of the resistance quantum in both longitudinal and Hall channels.

  2. Magic continuum in multi-moir\'e twisted trilayer graphene

    cond-mat.mes-hall 2025-09 conditional novelty 6.0

    Correlated states in twisted trilayer graphene appear along two 'magic' twist-angle lines, with superconductivity in quasicrystalline samples and anomalous Hall effect in polycrystalline samples.

  3. Emergent Interacting Phases in the Strong Coupling Limit of Twisted M-Valley Moir\'e Systems: Application to SnSe${}_2$

    cond-mat.str-el 2025-08 conditional novelty 6.0

    Twisted SnSe2 realizes quasi-1D triangular (AA) and kagome (AB) interacting models with predicted dimer, valence-bond-solid, and frustrated spin-liquid phases.