FQAH phases emerge and persist independent of interaction strength in gapless flat bands with singular fluctuating quantum geometry via spontaneous carrier inhomogeneity.
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Lattice model states for Laughlin, Moore-Read, and Z_k Read-Rezayi fractional quantum Hall series are constructed with idealized energy, entanglement, and modified clustering properties distinct from continuum versions.
A variational generalized Landau-level mapping shows the first moiré valence band supports Jain-sequence Abelian states while the Hartree-Fock-renormalized second band hosts a non-Abelian Moore-Read state at filling 5/2 for twist angle 2.45°.
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Generalized Model Fractional Quantum Hall States on Lattices
Lattice model states for Laughlin, Moore-Read, and Z_k Read-Rezayi fractional quantum Hall series are constructed with idealized energy, entanglement, and modified clustering properties distinct from continuum versions.