FQAH phases emerge and persist independent of interaction strength in gapless flat bands with singular fluctuating quantum geometry via spontaneous carrier inhomogeneity.
Title resolution pending
5 Pith papers cite this work. Polarity classification is still indexing.
5
Pith papers citing it
citation-role summary
background 1
citation-polarity summary
roles
background 1polarities
support 1representative citing papers
Introduces Wilson-loop-ideal bands saturating the quantum metric Wilson-loop bound and a general monotonic flow construction applied to moiré models to achieve low-error ideal states for correlated physics.
Lattice relaxation strain fields flatten and isolate a |C|=1 Chern band in rhombohedral graphene-hBN heterostructures under Hartree-Fock interactions.
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.
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
-
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.
-
Wilson-Loop-Ideal Bands and General Idealization
Introduces Wilson-loop-ideal bands saturating the quantum metric Wilson-loop bound and a general monotonic flow construction applied to moiré models to achieve low-error ideal states for correlated physics.
-
Lattice Relaxation Flattens Chern Bands in Rhombohedral Graphene Stacks
Lattice relaxation strain fields flatten and isolate a |C|=1 Chern band in rhombohedral graphene-hBN heterostructures under Hartree-Fock interactions.
-
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.
-
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.