{
  "abstract": "The exact ground state of the two-dimensional Hubbard model is critical for understanding cuprate superconductivity. Previous numerical studies on narrow cylinders found insulating, static stripes that inherently suppress superconductivity. Here, using constrained-path auxiliary-field quantum Monte Carlo on isotropic lattices up to $24 \\times 24$ sites, we show static stripes are boundary artifacts. The true 2D thermodynamic limit yields a topologically melted fluid of dynamically fluctuating magnetic pockets. Furthermore, we reveal the microscopic real-space origin of cuprate particle-hole asymmetry. Hole doping actively melts the magnetic background, driving a Lifshitz transition that unleashes macroscopic $d_{x^2-y^2}$ phase coherence at an optimal $x \\approx 0.150-0.200$. Conversely, electron doping preserves rigid antiferromagnetic domains, confining carriers to narrow fault lines that optimally saturate early at $x \\approx 0.100$. By extracting the macroscopic off-diagonal long-range order across both regimes, we perfectly recover the skewed phenomenological superconducting dome. Our parameter-free theoretical curve aligns with empirical Uemura and Božović scaling relations, capturing the underdoped emergence, distinct optimal peaks, the 1/8 anomaly suppression, and overdoped collapse. These results prove that robust d-wave superconductivity is the intrinsic ground state of the pure Hubbard Hamiltonian. Finally, we propose the Topological Magnetic Fluctuation Model (TMFM) as the exact real-space microscopic mechanism of the cuprate superconductors.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2606.07634",
  "author_total": 1,
  "authors": [
    {
      "name": "Jin Hyung Cho"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/e63ra9854rgry.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2606.07634",
  "fulltext_url": null,
  "id": "e63ra9854rgry",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2606.07634",
  "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"
    ],
    [
      "arxiv",
      "cond-mat.supr-con"
    ],
    [
      "openalex",
      "3104|Physics of Superconductivity and Magnetism"
    ]
  ],
  "openalex": "W7164016025",
  "pdf_url": "https://arxiv.org/pdf/2606.07634",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-10",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/e63ra9854rgry.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:20:26Z",
      "native_id": "2606.07634",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2606.07634"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:cond-mat.str-el",
      "subfield": "condensed-matter"
    }
  ],
  "title": "Topological Melting of Magnetic Stripes and the Emergence of Macroscopic d-wave Superconductivity in the 2D Hubbard Model",
  "title_text": "Topological Melting of Magnetic Stripes and the Emergence of Macroscopic d-wave Superconductivity in the 2D Hubbard Model",
  "type": "preprint",
  "updated_at": "2026-10-30T12:20:26Z",
  "url": "https://research.draconitic.com/paper/e63ra9854rgry",
  "venue": "arXiv",
  "versions": []
}