Koopman-DMD reconstructs band dispersion, local density of states, inverse participation ratio, and quantum geometric properties including quantum metric and Berry curvature from data in tight-binding models including disordered, Floquet, and non-Hermitian variants.
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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.
Electronic Lévy glasses convert low charge current into large spin Hall current with 30% spin Hall angle in the superdiffusive regime versus 5% in the diffusive regime.
Numerical study of the Kane-Mele-Hubbard-Rashba model reveals ordinary, special BKT-type, and extraordinary boundary transitions enriched by topological edge states.
Non-Hermiticity in hopping amplitudes catalyzes spontaneous symmetry breaking into CDW and SDW orders at weaker interactions on Euclidean and hyperbolic lattices while preserving DOS scaling near zero energy.
Klein tunneling persists in a gapped Chern-insulator heterostructure due to Dirac mass inversion at the trivial-topological interfaces, producing explicit expressions for temperature-dependent linear and nonlinear conductances.
Leading-order RG analysis shows repulsive interactions stabilize a chiral odd-parity pair density wave in quarter metals of chirally stacked graphene heterostructures.
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Data-driven reconstruction of band dispersion and quantum geometry via Koopman dynamical mode decomposition
Koopman-DMD reconstructs band dispersion, local density of states, inverse participation ratio, and quantum geometric properties including quantum metric and Berry curvature from data in tight-binding models including disordered, Floquet, and non-Hermitian variants.
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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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Spin Hall effect in electronic L\'evy glasses: Enhanced spin current generation in the superdiffusive regime
Electronic Lévy glasses convert low charge current into large spin Hall current with 30% spin Hall angle in the superdiffusive regime versus 5% in the diffusive regime.
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Boundary criticality in two-dimensional interacting topological insulators
Numerical study of the Kane-Mele-Hubbard-Rashba model reveals ordinary, special BKT-type, and extraordinary boundary transitions enriched by topological edge states.
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Non-Hermitian catalysis of spontaneous symmetry breaking on Euclidean and hyperbolic lattices
Non-Hermiticity in hopping amplitudes catalyzes spontaneous symmetry breaking into CDW and SDW orders at weaker interactions on Euclidean and hyperbolic lattices while preserving DOS scaling near zero energy.
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Landauer-based study of transport in Chern insulator heterostructures
Klein tunneling persists in a gapped Chern-insulator heterostructure due to Dirac mass inversion at the trivial-topological interfaces, producing explicit expressions for temperature-dependent linear and nonlinear conductances.
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Pair density wave in quarter metals from a repulsive fermionic interaction in graphene heterostructures: A renormalization group study
Leading-order RG analysis shows repulsive interactions stabilize a chiral odd-parity pair density wave in quarter metals of chirally stacked graphene heterostructures.