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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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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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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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.