{
  "abstract": "The recent discovery of high-$T_c$ superconductivity in pressurized and thin-film bilayer nickelates, featuring a strong interlayer exchange coupling, and their potential similarities with cuprate superconductors, has made this a very active topic in condensed matter physics. In the present paper we study the strongly correlated one-orbital ($d_{x^2-y^2}$) bilayer $t$-$J_\\perp$-$V$ model for nickelates, where $V$ denotes the Coulomb interactions, using a controlled large-$N$ expansion at and beyond the mean-field level. Focusing on the out-of-plane spin exchange interaction ($J_\\perp$), we find that it triggers both out-of-plane $s$-wave superconductivity and an out-of-plane bond-order phase ($z$-BOP) instability. The $z$-BOP gives rise to a complex $z$-axis hopping dominated by its imaginary component, which drives out-of-plane currents and induces in-plane ones, spontaneously forming on the vertical plaquettes a loop-current state that breaks time-reversal symmetry. Competition between this loop-current phase and superconductivity yields a dome-shaped superconducting region, with optimal superconductivity occurring near the $z$-BOP quantum critical point. The resulting phase diagram features a pure loop-current region, a low-doping coexistence phase, a pure superconducting state at higher doping, and a correlated metallic state.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.10926",
  "author_total": 7,
  "authors": [
    {
      "name": "Luciano Zinni"
    },
    {
      "name": "Fabricio Gómez"
    },
    {
      "name": "Jun Zhan"
    },
    {
      "name": "Mat\\'ıas Bejas"
    },
    {
      "name": "Xianxin Wu"
    },
    {
      "name": "Andreas P. Schnyder"
    },
    {
      "name": "Andrés Greco"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/5dg9ygz1kvp03.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.10926",
  "fulltext_url": null,
  "id": "5dg9ygz1kvp03",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2609.10926",
  "language": null,
  "licence": "CC-BY-4.0",
  "licence_label": "CC BY 4.0",
  "licence_source": "article",
  "licence_url": "http://creativecommons.org/licenses/by/4.0/",
  "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": "W7212304318",
  "pdf_url": "https://arxiv.org/pdf/2609.10926",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-10",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/5dg9ygz1kvp03.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:20:26Z",
      "native_id": "2609.10926",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.10926"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:cond-mat.str-el",
      "subfield": "condensed-matter"
    }
  ],
  "title": "Competing Interlayer Loop Currents and Superconductivity in the Bilayer $t$-$J_\\perp$-$V$ Model",
  "title_text": "Competing Interlayer Loop Currents and Superconductivity in the Bilayer t-J_⊥-V Model",
  "type": "preprint",
  "updated_at": "2026-10-30T12:20:26Z",
  "url": "https://research.draconitic.com/paper/5dg9ygz1kvp03",
  "venue": "arXiv",
  "versions": []
}