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Parent Berry curvature and the ideal anomalous Hall crystal

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arxiv 2403.04196 v2 pith:ULNDD5AH submitted 2024-03-07 cond-mat.mes-hall cond-mat.str-el

Parent Berry curvature and the ideal anomalous Hall crystal

Tixuan Tan , Trithep Devakul This is my paper
classification cond-mat.mes-hall cond-mat.str-el
keywords anomalousberrycurvaturehallparentcrystalstatetopological
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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We study a model of electrons moving in a parent band of uniform Berry curvature. At sufficiently high parent Berry curvature, we show that strong repulsive interactions generically lead to the formation of an anomalous Hall crystal: a topological state with spontaneously broken continuous translation symmetry. Our results are established via a mapping to a problem of Wigner crystallization in a regular 2D electron gas. Interestingly, we find that a periodic electrostatic potential induces a competing state with opposite Chern number. Our theory offers a unified perspective for understanding several aspects of the recently observed integer and fractional quantum anomalous Hall effects in rhombohedral multilayer graphene and provides a recipe for engineering new topological states.

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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. Miniband Generation by Surface Acoustic Waves

    cond-mat.mes-hall 2025-07 unverdicted novelty 6.0

    Interfering two obliquely propagating surface acoustic waves forms a tunable acoustoelectric superlattice in 2D materials, enabling in-situ control of minibands, flat bands, and nontrivial valley Chern numbers in mass...

  2. Chiral superconductivity from parent Chern band and its non-Abelian generalization

    cond-mat.str-el 2024-10 unverdicted novelty 6.0

    Mean-field theory on a quartic-dispersion Chern band for rhombohedral graphene yields a chiral topological superconductor that transitions to a trivial BEC at T=0; the composite-fermion version realizes a Moore-Read state.

  3. Doping-induced Quantum Anomalous Hall Crystals and Topological Domain Walls

    cond-mat.str-el 2024-07 unverdicted novelty 6.0

    Doping the Kane-Mele-Hubbard model at filling ν=1 induces quantum anomalous Hall crystals with skyrmion spin textures and topological domain walls hosting chiral modes.