{
  "abstract": "We address the SU(N) Fermi-Hubbard model on a chain, with $N$ the number of degenerate orbitals, or colors, for each fermion. In the limit of both large number of colors $N$ and particles, and small number of sites $L \\geq 2$, the model is proved to undergo a $\\mathbb{Z}_L$ symmetry breaking for attractive local interaction amplitude $U$. Using a combination of Exact Diagonalization with full SU(N) symmetry, generalized L-levels Holstein-Primakoff transformation, Hartree-Fock method and large-N saddle point approximation of the partition function, we extend the results obtained in [PRA 111, L020201 (2025)] to $L \\geq 3$ and finite temperature $T>0$. In particular, we show that at $T=0$ for $U",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2601.02590",
  "author_total": 3,
  "authors": [
    {
      "name": "Loïc Herviou"
    },
    {
      "name": "Elodie Campan"
    },
    {
      "name": "Pierre Nataf"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/eybg92xs4f62h.bib",
  "cited_by": 0,
  "doi": null,
  "fulltext_url": null,
  "id": "eybg92xs4f62h",
  "issns": [],
  "landing_url": "https://hal.science/hal-05844605v1",
  "language": "en",
  "licence": "CC-BY-NC-4.0",
  "licence_label": "CC BY-NC 4.0",
  "licence_source": "article",
  "licence_url": "https://creativecommons.org/licenses/by-nc/4.0/",
  "metadata_licence": null,
  "native_subjects": [
    [
      "hal",
      "0.phys"
    ],
    [
      "hal",
      "1.phys.cond"
    ],
    [
      "hal",
      "2.phys.cond.cm-sce"
    ]
  ],
  "openalex": null,
  "pdf_url": "https://hal.science/hal-05844605/document",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-29",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/eybg92xs4f62h.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:18:03Z",
      "native_id": "hal-05844605",
      "source": "hal",
      "url": "https://hal.science/hal-05844605v1"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "hal:1.phys.cond",
      "subfield": "condensed-matter"
    }
  ],
  "title": "$\\mathbb{Z}_L$ symmetry breaking in SU(N) Fermi-Hubbard dots at zero and finite temperature",
  "title_text": "ℤ_L symmetry breaking in SU(N) Fermi-Hubbard dots at zero and finite temperature",
  "type": "preprint",
  "updated_at": "2026-10-31T12:20:56Z",
  "url": "https://research.draconitic.com/paper/eybg92xs4f62h",
  "venue": "HAL",
  "versions": []
}