{
  "abstract": "Chiral $p_x\\!\\pm\\! i p_y$ superfluidity in fermionic polar molecules offers a direct route to topological quantum matter with non-Abelian excitations, yet the parameter regime in which pairing survives strong correlations and competing instabilities has remained unresolved. Here we determine this regime for microwave-shielded polar molecules. Under tight confinement along the \\(z\\) direction, the microscopic molecular interaction collapses onto a universal quasi-two-dimensional form specified by an interaction length $σ$, defined as the position of its attractive minimum, and a single dimensionless coupling. We combine Fermi-hypernetted-chain Euler--Lagrange theory with correlated-basis pairing theory, thereby treating the correlation hole, density response, stability of the homogeneous fluid, and $p$-wave pairing within one framework. The largest pairing gap occurs immediately on the stable side of a long-wavelength spinodal instability at a two-dimensional density $4\\times10^{-2}/σ^2$. Mapping this universal regime onto microscopic shielding schemes exposes an intrinsic limitation of single-microwave dressing: weakening the attraction to the optimal pairing range simultaneously weakens collisional shielding. Dual-microwave dressing removes this constraint by compensating the long-range attraction while retaining a large repulsive core. Imposing explicit requirements on collisional loss, confinement, and microwave-amplitude stability, we identify the regime of molecular mass and dipole moment favorable for \\(p\\)-wave superfluidity and determine experimentally realistic microwave and confinement conditions for its realization. These results turn the search for molecular $p$-wave superfluidity into a quantitative optimization problem and define a route toward the topological weak-pairing phase.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.07744",
  "author_total": 1,
  "authors": [
    {
      "name": "Tao Shi"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/a6vqz6e0xm85s.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.07744",
  "fulltext_url": null,
  "id": "a6vqz6e0xm85s",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2609.07744",
  "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.quant-gas"
    ],
    [
      "openalex",
      "3107|Cold Atom Physics and Bose-Einstein Condensates"
    ]
  ],
  "openalex": "W7212054597",
  "pdf_url": "https://arxiv.org/pdf/2609.07744",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-07",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/a6vqz6e0xm85s.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:19:48Z",
      "native_id": "2609.07744",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.07744"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:cond-mat.quant-gas",
      "subfield": "amo"
    },
    {
      "field": "physics",
      "origin": "arxiv:cond-mat.quant-gas",
      "subfield": "condensed-matter"
    }
  ],
  "title": "Where Is the \\(p\\)-Wave Superfluid? Correlated Phase Diagram of Microwave-Shielded Polar Molecules",
  "title_text": "Where Is the p-Wave Superfluid? Correlated Phase Diagram of Microwave-Shielded Polar Molecules",
  "type": "preprint",
  "updated_at": "2026-10-30T12:19:48Z",
  "url": "https://research.draconitic.com/paper/a6vqz6e0xm85s",
  "venue": "arXiv",
  "versions": []
}