{
  "abstract": "In this work, we investigate a continuum model of two-dimensional electrons interacting via long-range Coulomb forces and subject to a triangular periodic potential at filling factor $ν=2$. Using neural quantum states based on message-passing neural networks optimized with variational Monte Carlo, we determine the ground-state phase diagram as a function of periodic potential strength and Zeeman field. Although the noninteracting system is expected to form a conventional band insulator, we show that strong correlations can qualitatively reshape the insulating state and, in part of the phase diagram, suppress the band insulator in favor of a correlated metallic phase, with a first-order transition separating the two regimes. Moreover, the metal--insulator transition exhibits a strong dependence on spin polarization: the unpolarized system becomes insulating at substantially weaker periodic potentials through the formation of an $s$-wave molecular insulator, where opposite-spin electrons bind near each potential minimum, whereas the fully polarized system requires a significantly deeper potential and instead forms a symmetry-broken orbital nematic molecular crystal. This spin-dependent molecular transition gives rise to discontinuous magnetization curves, metamagnetic transitions, and several multicritical points in the phase diagram, together with clear signatures in the density profiles, real-space correlation functions, and structure factors. To further elucidate the role of the long-range character of the Coulomb interaction, we also study short-range repulsive interactions, which can be realized with ultracold-atom platforms. We find that the qualitative structure of the many-body phase diagram remains unchanged, demonstrating the robustness of our results across different interaction models.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.03145",
  "author_total": 5,
  "authors": [
    {
      "name": "Wei Zhang"
    },
    {
      "name": "Ataç İmamoğlu"
    },
    {
      "name": "Tao Shi"
    },
    {
      "name": "Eugene A. Demler"
    },
    {
      "name": "Ivan Morera"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/3rp5411nz918c.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.03145",
  "fulltext_url": null,
  "id": "3rp5411nz918c",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.03145",
  "language": null,
  "licence": "LicenseRef-arXiv-nonexclusive-1.0",
  "licence_label": "arXiv licence",
  "licence_source": "article",
  "licence_url": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "cond-mat.str-el"
    ],
    [
      "openalex",
      "3107|Quantum many-body systems"
    ]
  ],
  "openalex": "W7220467895",
  "pdf_url": "https://arxiv.org/pdf/2610.03145",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-02",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/3rp5411nz918c.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:26:45Z",
      "native_id": "2610.03145",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.03145"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:cond-mat.str-el",
      "subfield": "condensed-matter"
    }
  ],
  "title": "Correlated Metals, Metamagnetism, and Orbital Nematic Order in moiré Materials with Neural Quantum States",
  "title_text": "Correlated Metals, Metamagnetism, and Orbital Nematic Order in moiré Materials with Neural Quantum States",
  "type": "preprint",
  "updated_at": "2026-10-30T12:26:45Z",
  "url": "https://research.draconitic.com/paper/3rp5411nz918c",
  "venue": "arXiv",
  "versions": []
}