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Simulating moir\'e quantum matter with neural network

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arxiv 2406.17645 v1 pith:NNNRTFPH submitted 2024-06-25 cond-mat.str-el cond-mat.dis-nnphysics.comp-ph

classification cond-mat.str-elcond-mat.dis-nnphysics.comp-ph
keywords moirquantummaterialsneuralcorrelationinsulatormany-electronmatter
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Moir\'e materials provide an ideal platform for exploring quantum phases of matter. However, solving the many-electron problem in moir\'e systems is challenging due to strong correlation effects. We introduce a powerful variational representation of quantum states, many-body neural Bloch wavefunction, to solve many-electron problems in moir\'e materials accurately and efficiently. Applying our method to the semiconductor heterobilayer WSe2/WS2 , we obtain a generalized Wigner crystal at filling factor n = 1/3, a Mott insulator n = 1, and a correlated insulator with local magnetic moments and antiferromagnetic spin correlation at n = 2. Our neural network approach improves the simulation accuracy of strongly interacting moir\'e materials and paves the way for discovery of new quantum phases with variational learning principle in a unified framework.

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Cited by 4 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Hyperdeterminant wavefunctions

    cond-mat.str-el 2026-07 conditional novelty 7.5 of 10

    Hyperdeterminant wavefunctions with a locality structure, plus VMPI effective theories and projective expansion, give a practical variational framework for fractional Chern insulators and quantum spin liquids.

  2. Topological excitonic insulators in electron bilayers modulated by twisted hBN

    cond-mat.mes-hall 2025-09 conditional novelty 6.0 of 10

    Hartree-Fock predicts that a twisted-hBN-spaced TMD bilayer at nu=1 can host a p-wave exciton condensate with coexisting quantum anomalous Hall and counterflow superfluid phases.

  3. Machine learning the single-$\Lambda$ hypernuclei with neural-network quantum states

    nucl-th 2025-08 unverdicted novelty 6.0 of 10

    Neural-network quantum states with new spin and isospin treatments compute light hypernuclei spectra at claimed high accuracy and benchmark pionless effective field theory Hamiltonians.

  4. Is attention all you need to solve the correlated electron problem?

    cond-mat.str-el 2025-02 conditional novelty 6.0 of 10

    A self-attention neural network wavefunction gives lower variational energies than band-projected exact diagonalization for a moiré electron model and shows a roughly quadratic parameter scaling with electron number.

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