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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8 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.
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.
Charge-pumping simulation extracts Chern numbers and identifies anomalous composite Fermi liquids from neural network wavefunctions in fractional Chern insulators.
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°.
A 1D superfluid of hard-core bosons with pair-wise attractive interactions forms molecular dimers that exhibit emergent repulsive interactions and phase separation into charge-density wave puddles, as revealed by DMRG and effective Hamiltonians.
The authors derive an effective Hamiltonian for magnetoroton modes in moiré FQH and FCI systems via single-mode approximation and Monte Carlo three-point density correlations, predicting THz absorption trends and a soft-mode transition to CDW states.
Mean-field Hubbard calculations on mirror-symmetric magic-angle twisted trilayer graphene predict antiferromagnetic order at neutrality with reduced critical U and non-trivial multiband Berry curvature despite zero Chern numbers.
citing papers explorer
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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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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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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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Topological invariant of periodic many body wavefunction from charge pumping simulation
Charge-pumping simulation extracts Chern numbers and identifies anomalous composite Fermi liquids from neural network wavefunctions in fractional Chern insulators.
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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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Emergence of a molecular quantum liquid in one dimension
A 1D superfluid of hard-core bosons with pair-wise attractive interactions forms molecular dimers that exhibit emergent repulsive interactions and phase separation into charge-density wave puddles, as revealed by DMRG and effective Hamiltonians.
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Theory of magnetoroton bands in moir\'e materials
The authors derive an effective Hamiltonian for magnetoroton modes in moiré FQH and FCI systems via single-mode approximation and Monte Carlo three-point density correlations, predicting THz absorption trends and a soft-mode transition to CDW states.
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Magnetism and hidden quantum geometry in charge neutral twisted trilayer graphene
Mean-field Hubbard calculations on mirror-symmetric magic-angle twisted trilayer graphene predict antiferromagnetic order at neutrality with reduced critical U and non-trivial multiband Berry curvature despite zero Chern numbers.