Charge-pumping simulation extracts Chern numbers and identifies anomalous composite Fermi liquids from neural network wavefunctions in fractional Chern insulators.
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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°.
Variational Monte Carlo shows magnetic fields melt Wigner crystals into integer quantum Hall liquids via downward cusps in liquid ground-state energy at integer fillings, establishing a density range for the transition.
Irrep-resolved GCNN variational energies indicate a 4-fold degenerate columnar ground state for V <= 0.4 in the square-lattice quantum dimer model, shifting possible plaquette or mixed ordering to 0.4 < V < 1.
Remote band mixing in moiré models preferentially stabilizes electron Wigner crystals over hole crystals, explaining the greater instability of fractional Chern insulators at ν=1/3 than at ν=2/3.
citing papers explorer
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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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Quantum melting a Wigner crystal into Hall liquids
Variational Monte Carlo shows magnetic fields melt Wigner crystals into integer quantum Hall liquids via downward cusps in liquid ground-state energy at integer fillings, establishing a density range for the transition.
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Group Convolutional Neural Network for the Low-Energy Spectrum in the Quantum Dimer Model
Irrep-resolved GCNN variational energies indicate a 4-fold degenerate columnar ground state for V <= 0.4 in the square-lattice quantum dimer model, shifting possible plaquette or mixed ordering to 0.4 < V < 1.
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Band mixing and particle-hole asymmetry in moir\'e fractional Chern insulators
Remote band mixing in moiré models preferentially stabilizes electron Wigner crystals over hole crystals, explaining the greater instability of fractional Chern insulators at ν=1/3 than at ν=2/3.