{
  "abstract": "A defining feature of non-Fermi liquids is a lack of the quasiparticle peak on the Fermi surface in the spectral function, which is usually realized by coupling a finite density of fermions with critical collective fluctuations. However, these features of the two- and three-point vertex functions are qualitatively the same across many non-Fermi liquids, which has made it difficult to classify them beyond the definition by negation. We point out that the four-point function in the pairing channel contains rich information that positively differentiates distinct types of non-Fermi liquids. Using the generalized notion of fixed points that captures scale-dependent universal pairing interaction, we provide a non-perturbative classification of 2+1-dimensional non-Fermi liquids. In the large Fermi momentum limit with fixed dimensionless couplings, metals coupled with long-wavelength critical fluctuations are classified into seven superuniversality classes. Each of them exhibits a unique phase diagram in the space of temperature and bare four-fermion coupling. The present work generalizes the earlier perturbative classification to strongly interacting non-Fermi liquids by leveraging kinematic constraints.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.25713",
  "author_total": 3,
  "authors": [
    {
      "name": "Shubham Kukreja"
    },
    {
      "name": "Dawson M. Willerton"
    },
    {
      "name": "Sung-Sik Lee"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/3hkmz76k5e581.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.25713",
  "fulltext_url": null,
  "id": "3hkmz76k5e581",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.25713",
  "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",
      "3107|Quantum many-body systems"
    ]
  ],
  "openalex": "W7223001511",
  "pdf_url": "https://arxiv.org/pdf/2610.25713",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-19",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/3hkmz76k5e581.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:30:52Z",
      "native_id": "2610.25713",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.25713"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:cond-mat.str-el",
      "subfield": "condensed-matter"
    }
  ],
  "title": "Categorical classification of non-Fermi liquids in 2+1 dimensions",
  "title_text": "Categorical classification of non-Fermi liquids in 2+1 dimensions",
  "type": "preprint",
  "updated_at": "2026-11-06T18:21:01Z",
  "url": "https://research.draconitic.com/paper/3hkmz76k5e581",
  "venue": "arXiv",
  "versions": []
}