An algebraic second-quantization for 1D Abelian anyons with phase θ=π/N is constructed, together with an exact Jordan-Wigner duality that maps π/3 anyons onto spin-1 operators.
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7 Pith papers cite this work. Polarity classification is still indexing.
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Pith papers citing it
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2026 7representative citing papers
Identities relate density-density correlators across a spin multiplet, allowing energies of many fractional quantum Hall states to be obtained from the highest-weight state alone.
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.
Non-Abelian multigap topology with Euler class invariants in kagome NHC MOFs induces a controllable magnetononlinear Hall effect.
A combinatorial extension of Schrieffer counting extracts anyon fusion rules from restricted orbital-occupation patterns in quantum Hall wave functions.
A variational generalized Landau-level mapping shows the first moiré valence band supports Jain-sequence Abelian states while the Hartree-Fock-renormalized second band hosts a non-Abelian Moore-Read state at filling 5/2 for twist angle 2.45°.
Numerical tests confirm that modular Hamiltonian methods extract expected topological numbers from FQHE wavefunctions but converge reliably only on large lattices.
citing papers explorer
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Second quantization of anyons and spin-anyon duality
An algebraic second-quantization for 1D Abelian anyons with phase θ=π/N is constructed, together with an exact Jordan-Wigner duality that maps π/3 anyons onto spin-1 operators.
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Relations between density-density correlators of states in the maximal spin multiplet
Identities relate density-density correlators across a spin multiplet, allowing energies of many fractional quantum Hall states to be obtained from the highest-weight state alone.
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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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Magnetononlinear Hall effect from multigap topology in metal-organic frameworks
Non-Abelian multigap topology with Euler class invariants in kagome NHC MOFs induces a controllable magnetononlinear Hall effect.
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Unveiling Topological Fusion in Quantum Hall Systems from Microscopic Principles
A combinatorial extension of Schrieffer counting extracts anyon fusion rules from restricted orbital-occupation patterns in quantum Hall wave functions.
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Abelian and non-Abelian fractionalized states in twisted MoTe$_2$: A generalized Landau-level theory
A variational generalized Landau-level mapping shows the first moiré valence band supports Jain-sequence Abelian states while the Hartree-Fock-renormalized second band hosts a non-Abelian Moore-Read state at filling 5/2 for twist angle 2.45°.
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Testing the robustness of topological quantities evaluated from the modular Hamiltonian for a given wavefunction
Numerical tests confirm that modular Hamiltonian methods extract expected topological numbers from FQHE wavefunctions but converge reliably only on large lattices.