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.
Gauge invariance of the quantum geometric tensor implies zero modes of a non-abelian Dirac operator in band insulators whose theta-function solutions define CP^{N-1} spaces and generalize vortexability criteria with links to lowest Landau level algebra.
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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Zero modes of non-abelian Dirac operator in topologically non-trivial band insulator
Gauge invariance of the quantum geometric tensor implies zero modes of a non-abelian Dirac operator in band insulators whose theta-function solutions define CP^{N-1} spaces and generalize vortexability criteria with links to lowest Landau level algebra.
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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.