Non-uniform Berry curvature in parent Chern bands induces momentum-space vortices in the chiral superconducting gap function, with the parent Chern number constraining vortex count independently of model details.
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Roy, Band geometry of fractional topological insula- tors, Phys
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Hybridization between magneto-roton and moiré interband excitations in twisted MoTe2 creates an optically active exciton-roton mode with a characteristic roton minimum that is absent in continuum fractional quantum Hall systems.
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.
The localization length of the non-Hermitian skin effect is encoded in the quantum metric of right eigenstates, exhibiting power-law divergences at gapless points and discontinuities at cusps of the generalized Brillouin zone.
FQAH phases emerge and persist independent of interaction strength in gapless flat bands with singular fluctuating quantum geometry via spontaneous carrier inhomogeneity.
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.
Substrate commensuration induces intervalley coupling in TBG, hybridizing flat bands into a p_x-p_y honeycomb model with quadratic touchings that flatten due to frustration and yield topological bands with C up to 4.
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.
False vacuum decay in flat-band ferromagnets shows that quantum geometry governs magnetization bubble dynamics in metals and allows dynamical access to chiral edge modes in quantum Hall ferromagnets.
citing papers explorer
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Chiral superconductors from parent states with non-uniform Berry curvature: Momentum-space vortices, BdG topology, and thermal Hall conductivity
Non-uniform Berry curvature in parent Chern bands induces momentum-space vortices in the chiral superconducting gap function, with the parent Chern number constraining vortex count independently of model details.
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Exciton-roton mode in moir\'e fractional Chern insulators
Hybridization between magneto-roton and moiré interband excitations in twisted MoTe2 creates an optically active exciton-roton mode with a characteristic roton minimum that is absent in continuum fractional quantum Hall systems.
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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 the non-Hermitian skin effect
The localization length of the non-Hermitian skin effect is encoded in the quantum metric of right eigenstates, exhibiting power-law divergences at gapless points and discontinuities at cusps of the generalized Brillouin zone.
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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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Intervalley-Coupled Twisted Bilayer Graphene from Substrate Commensuration
Substrate commensuration induces intervalley coupling in TBG, hybridizing flat bands into a p_x-p_y honeycomb model with quadratic touchings that flatten due to frustration and yield topological bands with C up to 4.
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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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False Vacuum Decay in Flat-Band Ferromagnets: Role of Quantum Geometry and Chiral Edge States
False vacuum decay in flat-band ferromagnets shows that quantum geometry governs magnetization bubble dynamics in metals and allows dynamical access to chiral edge modes in quantum Hall ferromagnets.