{
  "abstract": "Extended domain-wall networks that emerge in moiré materials provide a distinct platform for quasi-one-dimensional electronic states. However, the interaction-driven orders in confined networks remain largely unexplored. Here, we discuss superconducting (SC) correlations in interacting helical domain-wall-ring networks in the closed topological domains formed within the moiré patterns of an underlying twisted bilayer honeycomb lattice. We first analyze the system within the framework of an infinite-size theory and show that inter-ring SC-pair tunneling is renormalization-group relevant in an appropriate interaction regime, favoring enhanced SC correlations through inter-ring phase locking. To address finite-size effects resulting from the ring-network geometry, we present a self-consistent variational approach. Our analysis shows that even in the regime where the infinite-size theory predicts strongly coupled pair tunneling, the induced phase-locking scale remains strongly suppressed. In contrast, the SC scaling dimension is governed mainly by density-density interactions and ring geometry, decreasing modestly with decreasing twist angle while remaining insensitive to the pair-tunneling strength. This discrepancy demonstrates that ring networks cannot generally be understood as simple finite-size truncations of their infinite-size counterparts but can exhibit qualitatively distinct collective behavior. Our study highlights how the interplay of confinement effects and ring-network geometry can reshape SC correlations.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2606.23599",
  "author_total": 2,
  "authors": [
    {
      "name": "Yi-Chun Hung"
    },
    {
      "name": "Arun Bansil"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/80ffsq2e947vw.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2606.23599",
  "fulltext_url": null,
  "id": "80ffsq2e947vw",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2606.23599",
  "language": null,
  "licence": "CC-BY-NC-ND-4.0",
  "licence_label": "CC BY-NC-ND 4.0",
  "licence_source": "article",
  "licence_url": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "cond-mat.mes-hall"
    ],
    [
      "arxiv",
      "cond-mat.mtrl-sci"
    ],
    [
      "arxiv",
      "cond-mat.str-el"
    ],
    [
      "arxiv",
      "cond-mat.supr-con"
    ],
    [
      "openalex",
      "3107|Topological Materials and Phenomena"
    ]
  ],
  "openalex": "W7165613906",
  "pdf_url": "https://arxiv.org/pdf/2606.23599",
  "pmcid": null,
  "pmid": null,
  "published": "2026-11-02",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/80ffsq2e947vw.ris",
  "sources": [
    {
      "first_seen": "2026-11-03T12:21:04Z",
      "native_id": "2606.23599",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2606.23599"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:cond-mat.mes-hall",
      "subfield": "condensed-matter"
    }
  ],
  "title": "Helical Domain-Wall-Ring Networks Reshape Superconducting Correlations",
  "title_text": "Helical Domain-Wall-Ring Networks Reshape Superconducting Correlations",
  "type": "preprint",
  "updated_at": "2026-11-03T12:21:04Z",
  "url": "https://research.draconitic.com/paper/80ffsq2e947vw",
  "venue": "arXiv",
  "versions": []
}