Anyon Bloch bands in ideal FCIs have m-fold degeneracy in the magnetic BZ and bandwidth controlled by quantum geometry non-uniformity, with higher harmonics strongly suppressing dispersion through emergent symmetries.
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Sublattice-selective interlayer hybridizations in twisted bipartite lattice heterobilayers generate tunable zero-energy flat bands possessing finite Berry curvature and Chern-insulator-scale quantum metric.
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.
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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Dispersion of Anyon Bloch Bands
Anyon Bloch bands in ideal FCIs have m-fold degeneracy in the magnetic BZ and bandwidth controlled by quantum geometry non-uniformity, with higher harmonics strongly suppressing dispersion through emergent symmetries.
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Quantum Geometry of Moir\'e Flat Bands Beyond the Valley Paradigm
Sublattice-selective interlayer hybridizations in twisted bipartite lattice heterobilayers generate tunable zero-energy flat bands possessing finite Berry curvature and Chern-insulator-scale quantum metric.
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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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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.