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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

Tixuan Tan , Julian May-Mann , Trithep Devakul This is my paper · ORCID
classification cond-mat.mes-hallcond-mat.str-el
keywords fahcsanomalouscrystalsfractionalhallstatesberrycurvature
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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 5 Pith papers

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

  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 of 10

    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. Berry Phase Dynamics of Sliding Electron Crystals

    cond-mat.mes-hall 2024-12 conditional novelty 7.0 of 10

    Sliding electron crystals develop a transverse Hall velocity set by Galilean non-invariance as well as parent-band Berry curvature, so the net Hall conductance is generally unquantized.

  3. Universal Moir\'e-Model-Building Method without Fitting: Application to Twisted MoTe$_2$ and WSe$_2$

    cond-mat.mes-hall 2024-11 conditional novelty 7.0 of 10

    Continuum models for twisted MoTe2 and WSe2 are constructed directly from DFT by projecting the DFT Hamiltonian onto a basis of continuum-model terms, without nonlinear fitting.

  4. Quantum Geometry in the NbSe$_2$ Family I: Obstructed Compact Wannier Function and New Perturbation Theory

    cond-mat.mes-hall 2025-07 conditional novelty 6.0 of 10

    Monolayer NbSe2's Fermi-level flat band is an obstructed atomic band whose Wannier function is 94% reproduced by a compact three-site orbital, and its minimal model has next-nearest-neighbor hopping larger than neares...

  5. Quantum Geometry in Quantum Materials

    cond-mat.mes-hall 2024-12 unverdicted

    This review surveys how the quantum geometric tensor shapes superconductivity, spin stiffness, exciton condensates, Landau levels, and fractional Chern insulators in quantum materials.

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