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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3 Pith papers cite this work. Polarity classification is still indexing.
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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.
citing papers explorer
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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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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.