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 models with engineered quantum geometry host Abelian and non-Abelian fractional Chern insulators, anomalous Hall crystals, and Halperin states, with the N=2 model realizable in twisted MoTe₂.
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°.
citing papers explorer
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Fractional quantization by interaction of arbitrary strength in gapless flat bands with divergent quantum geometry
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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Quantum-Geometric Design of Lattice Generalized Landau Levels
Lattice models with engineered quantum geometry host Abelian and non-Abelian fractional Chern insulators, anomalous Hall crystals, and Halperin states, with the N=2 model realizable in twisted MoTe₂.
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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.
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Abelian and non-Abelian fractionalized states in twisted MoTe$_2$: A generalized Landau-level theory
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°.