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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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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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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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°.