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Wavefunction approach to the fractional anomalous Hall crystal

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arxiv 2409.06775 v1 pith:I77MIPRV submitted 2024-09-10 cond-mat.mes-hall cond-mat.str-el

Wavefunction approach to the fractional anomalous Hall crystal

Tixuan Tan , Julian May-Mann , Trithep Devakul This is my paper
classification cond-mat.mes-hall cond-mat.str-el
keywords fahcsanomalouscrystalsfractionalhallstatesberrycurvature
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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We propose fractional anomalous Hall crystals (FAHCs) as possible ground states of strongly interacting electrons in parent bands with Berry curvature. FAHCs are exotic states of matter that spontaneously break continuous translation symmetry to form a fractional Chern insulator. We construct a unified family of variational wavefunctions that describe FAHCs and their competing states in the presence of uniform parent Berry curvature. We calculate their variational energy with Coulomb interactions semi-analytically in the thermodynamic limit. Our analysis reveals that FAHCs can be energetically favorable over both Wigner crystals and integer anomalous Hall crystals for sufficiently strong interactions or flat dispersion.

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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. Chern-Selective multi-valley Flat Bands in Twisted Mono-Bilayer and Mono-Trilayer MoTe$_2$

    cond-mat.mtrl-sci 2025-10 conditional novelty 7.0

    In twisted mono-bilayer and mono-trilayer MoTe2, Γ and K/K' valley moiré flat bands coexist at low energy, with layer number and stacking controlling their alignment and quantum geometry.

  2. Elastic Response and Instabilities of Anomalous Hall Crystals

    cond-mat.str-el 2025-03 unverdicted novelty 7.0

    Anomalous Hall crystals have stiffness an order of magnitude smaller than Wigner crystals due to finite Chern number, triggering mechanical instability under deformations in rhombohedral pentalayer graphene models.

  3. Family of High-Chern-Number Orbital Magnets in Twisted Rhombohedral Graphene

    cond-mat.mes-hall 2026-01 unverdicted novelty 6.0

    Experimental discovery of a family of high-Chern-number orbital magnets in twisted (1+n) rhombohedral graphene with observed topological hierarchy C = n for n=3,4,5.