mlsanityData to 7 Oct 2026

Artificial intelligence for artificial materials: moir'e atom

arXiv 2303.08162 ↗First posted 14 Mar 2023cond-mat.str-el cond-mat.mes-hall cs.LGcited by 1

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Abstract (arXiv)

Moir'e engineering in atomically thin van der Waals heterostructures creates artificial quantum materials with designer properties. We solve the many-body problem of interacting electrons confined to a moir'e superlattice potential minimum (the moir'e atom) using a 2D fermionic neural network. We show that strong Coulomb interactions in combination with the anisotropic moir'e potential lead to striking ``Wigner molecule" charge density distributions observable with scanning tunneling microscopy.

Key facts. Cited by 1 paper in the map (data through 7 Oct 2026). Builds on 17 of its 78 references that are in the map. First posted on arXiv 14 Mar 2023.

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17 of 78 references.

References · 17

  1. 2015Optimizing Neural Networks with Kronecker-factored Approximate Curvaturecited by 776
  2. 2019Ab-Initio Solution of the Many-Electron Schr"odinger Equation with Deep Neural Networkscited by 195
  3. 2019Deep neural network solution of the electronic Schr"odinger equationcited by 124
  4. 2019Deep autoregressive models for the efficient variational simulation of many-body quantum systemscited by 64
  5. 2018Quantum Entanglement in Deep Learning Architecturescited by 49
  6. 2017Neural-Network Quantum States, String-Bond States, and Chiral Topological Statescited by 31
  7. 2020Gauge equivariant neural networks for quantum lattice gauge theoriescited by 27
  8. 2022Discovering Quantum Phase Transitions with Fermionic Neural Networkscited by 25
  9. 2021Solving the electronic Schr"odinger equation for multiple nuclear geometries with weight-sharing deep neural networkscited by 22
  10. 2021Neural tensor contractions and the expressive power of deep neural quantum statescited by 21
  11. 2022Electronic excited states in deep variational Monte Carlocited by 21
  12. 2021Ab-initio study of interacting fermions at finite temperature with neural canonical transformationcited by 16
5 more
  1. 2020Phases of two-dimensional spinless lattice fermions with first-quantized deep neural-network quantum statescited by 15
  2. 2022Gauge Equivariant Neural Networks for 2+1D U(1) Gauge Theory Simulations in Hamiltonian Formulationcited by 11
  3. 2022Simulating 2+1D Lattice Quantum Electrodynamics at Finite Density with Neural Flow Wavefunctionscited by 10
  4. 2021Spacetime Neural Network for High Dimensional Quantum Dynamicscited by 9
  5. 2021Infinite Neural Network Quantum States: Entanglement and Training Dynamicscited by 4

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