{
  "abstract": "We investigate many-body systems with time-delayed self-interactions mediated by a memory-feedback mechanism. We show that such temporal interactions generate non-equilibrium orders and unique topological defects absent in equilibrium-specifically, helical vortices wherein opposite vorticities propagate in reverse directions along domain walls. In one dimension, memory feedback stabilizes true long-range order against weak noise, thereby circumventing the Mermin-Wagner theorem and resulting in an unconventional finite-temperature phase transition with a dynamical exponent $z = 4$. Physical realizations of these memory-driven non-equilibrium systems using active mechatronic metamaterials has also been proposed. These results demonstrate engineered temporal interactions as a powerful paradigm for non-equilibrium many-body physics.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.02586",
  "author_total": 2,
  "authors": [
    {
      "name": "Ziyang Ding"
    },
    {
      "name": "Zi Cai"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/4r6q3ng000xh0.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.02586",
  "fulltext_url": null,
  "id": "4r6q3ng000xh0",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2609.02586",
  "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.stat-mech"
    ],
    [
      "openalex",
      "3104|Theoretical and Computational Physics"
    ]
  ],
  "openalex": "W7207657024",
  "pdf_url": "https://arxiv.org/pdf/2609.02586",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-02",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/4r6q3ng000xh0.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:18:16Z",
      "native_id": "2609.02586",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.02586"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:cond-mat.stat-mech",
      "subfield": "statistical-nonlinear"
    }
  ],
  "title": "Memory-driven Topological Defects and Unconventional Long-Range Order",
  "title_text": "Memory-driven Topological Defects and Unconventional Long-Range Order",
  "type": "preprint",
  "updated_at": "2026-10-30T12:18:16Z",
  "url": "https://research.draconitic.com/paper/4r6q3ng000xh0",
  "venue": "arXiv",
  "versions": []
}