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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Lattice relaxation strain fields flatten and isolate a |C|=1 Chern band in rhombohedral graphene-hBN heterostructures under Hartree-Fock interactions.
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°.
Doping the Kane-Mele-Hubbard model at filling ν=1 induces quantum anomalous Hall crystals with skyrmion spin textures and topological domain walls hosting chiral modes.
Remote band mixing in moiré models preferentially stabilizes electron Wigner crystals over hole crystals, explaining the greater instability of fractional Chern insulators at ν=1/3 than at ν=2/3.
The authors derive an effective Hamiltonian for magnetoroton modes in moiré FQH and FCI systems via single-mode approximation and Monte Carlo three-point density correlations, predicting THz absorption trends and a soft-mode transition to CDW states.
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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Lattice Relaxation Flattens Chern Bands in Rhombohedral Graphene Stacks
Lattice relaxation strain fields flatten and isolate a |C|=1 Chern band in rhombohedral graphene-hBN heterostructures under Hartree-Fock interactions.
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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°.
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Doping-induced Quantum Anomalous Hall Crystals and Topological Domain Walls
Doping the Kane-Mele-Hubbard model at filling ν=1 induces quantum anomalous Hall crystals with skyrmion spin textures and topological domain walls hosting chiral modes.
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Band mixing and particle-hole asymmetry in moir\'e fractional Chern insulators
Remote band mixing in moiré models preferentially stabilizes electron Wigner crystals over hole crystals, explaining the greater instability of fractional Chern insulators at ν=1/3 than at ν=2/3.
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Theory of magnetoroton bands in moir\'e materials
The authors derive an effective Hamiltonian for magnetoroton modes in moiré FQH and FCI systems via single-mode approximation and Monte Carlo three-point density correlations, predicting THz absorption trends and a soft-mode transition to CDW states.