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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14 Pith papers cite this work. Polarity classification is still indexing.
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Disorder induces a crossover from phase-averaging to mode-mixing regimes in domain wall transport of a second-order topological insulator, marked by a 0.5 e²/h plateau and two-step conductance fluctuations at 0.35 and 0.29 e²/h with corresponding Fano factors of 1/4 and 1/3.
Fermi seas with the same Euler characteristic χ_F possess distinct fine-grained topological structures captured by a new structural resolution factor, which topological superconductors inherit to produce anomalous gapless boundary states.
Degeneracies of energy levels in the Kitaev quantum double model for arbitrary discrete group G and genus are expressed via S-matrix elements, giving the exact partition function for finite systems.
Derives discretely spaced complex spectra and biorthogonal eigenstates for non-Hermitian Landau levels under complex magnetic fields, confirmed via a Harper-Hofstadter lattice model.
Tuning the angle between sites in an OAM l=1 staggered lattice switches the winding number and number of topologically protected edge states in a Creutz-ladder mapping.
The second plateau at about 3/5 the first in 3D QHE arises from spin-density-wave order induced by nesting between spin-up and spin-down Landau bands after a Lifshitz transition.
Non-Abelian multigap topology with Euler class invariants in kagome NHC MOFs induces a controllable magnetononlinear Hall effect.
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°.
CF exciton trial states accurately capture collective mode dispersions in spinful FQH states on the sphere at all wavelengths, while density-wave states miss high-energy parton modes in singlet cases at fillings like 2/5.
A Monte Carlo method maps quantum Fisher information lower bounds for explicit many-body wavefunctions to classical expectation values, enabling efficient computation under decoherence for Jastrow-Gutzwiller states.
The spatially random localized phase at low filling factors in bilayer graphene is the disorder-induced Anderson solid phase.
Numerical tests confirm that modular Hamiltonian methods extract expected topological numbers from FQHE wavefunctions but converge reliably only on large lattices.
A review summarizing theoretical and experimental progress on disorder-induced topological phases including TAIs, quasiperiodic extensions, non-Hermitian systems, and many-body realizations.
citing papers explorer
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Disorder-induced crossover from phase-averaging to mode-mixing regimes in magnetic domain walls of a second-order topological insulator
Disorder induces a crossover from phase-averaging to mode-mixing regimes in domain wall transport of a second-order topological insulator, marked by a 0.5 e²/h plateau and two-step conductance fluctuations at 0.35 and 0.29 e²/h with corresponding Fano factors of 1/4 and 1/3.
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Fine-grained topological structures hidden in Fermi sea
Fermi seas with the same Euler characteristic χ_F possess distinct fine-grained topological structures captured by a new structural resolution factor, which topological superconductors inherit to produce anomalous gapless boundary states.
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3D Quantum Hall Effect with Two Distinct Plateaus
The second plateau at about 3/5 the first in 3D QHE arises from spin-density-wave order induced by nesting between spin-up and spin-down Landau bands after a Lifshitz transition.
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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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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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Disorder-induced strong-field strong-localization in 2D systems
The spatially random localized phase at low filling factors in bilayer graphene is the disorder-induced Anderson solid phase.