{
  "abstract": "Evidence for chiral superconductivity has recently been observed in several van der Waals systems including rhombohedral multilayer graphene and twisted bilayer MoTe$_2$. In the latter, superconductivity emerges at carrier densities near a fractional Chern insulator. This raises the question of what kinds of superconductors may emerge in a system of electrons in a topological band with strong repulsive interactions. Here, we adapt the target-phase optimization method to search for chiral superconductors in a minimal model of interacting electrons in a Chern band. We construct a differentiable loss function for superconductors from the sign oscillation of the pair-binding energy and combine gradient-based optimization with a rigorous screening procedure to identify and characterize superconductors. Applying this framework within exact diagonalization to spinless electrons in periodically modulated Landau levels with screened Coulomb interactions, we uncover a broad family of chiral superconducting phases. At filling $ν=2/3$, we recover the previously identified $f-\\mathrm{i} f$ hole superconductors and find additional $p\\pm \\mathrm{i} p$ and $f+\\mathrm{i} f$ superconductors of both electrons and holes, occurring near and far from the limit of ideal quantum geometry. At $ν=1/2$, we identify $p- \\mathrm{i} p$ electron and $f-\\mathrm{i} f$ hole superconductors and find, for the first time, a direct transition between chiral superconductors and composite Fermi liquids. Our results reveal that chiral superconductivity in Chern bands comprises a diverse landscape of competing pairing instabilities and establish target-phase optimization as a general strategy for searching for quantum phases in complex interacting systems.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.31839",
  "author_total": 5,
  "authors": [
    {
      "name": "André Grossi Fonseca"
    },
    {
      "name": "Aidan Reddy"
    },
    {
      "name": "Ahmed Abouelkomsan"
    },
    {
      "name": "Liang Fu"
    },
    {
      "name": "Marin Soljačić"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/41xyddpk599b2.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.31839",
  "fulltext_url": null,
  "id": "41xyddpk599b2",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2609.31839",
  "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"
    ],
    [
      "openalex",
      "3107|Topological Materials and Phenomena"
    ]
  ],
  "openalex": "W7214755617",
  "pdf_url": "https://arxiv.org/pdf/2609.31839",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-25",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/41xyddpk599b2.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:25:12Z",
      "native_id": "2609.31839",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.31839"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:cond-mat.str-el",
      "subfield": "condensed-matter"
    }
  ],
  "title": "Zoology of chiral superconductors in Chern bands",
  "title_text": "Zoology of chiral superconductors in Chern bands",
  "type": "preprint",
  "updated_at": "2026-10-30T12:25:12Z",
  "url": "https://research.draconitic.com/paper/41xyddpk599b2",
  "venue": "arXiv",
  "versions": []
}