{
  "abstract": "Twisted cuprate bilayers have been predicted to host high-temperature chiral $d+id'$ superconductivity, originating from higher-order Josephson coupling processes. In such two-dimensional superconducting systems, long-wavelength fluctuations in the phase of the superconducting order parameter constitute gapless collective modes and therefore remain significant even at zero temperature. Here, we perform a theoretical analysis of the low-energy phase fluctuations in twisted $d$-wave superconducting bilayers within a self-consistent harmonic approximation, systematically retaining Josephson coupling to all orders. We demonstrate that higher-order Josephson coupling processes lead to nontrivial modifications of the phase dynamics. The momentum-resolved summand of the relative-phase stiffness is nonzero even in the normal state because interlayer tunneling explicitly breaks the intralayer U(1) symmetry, but its momentum integral vanishes for the continuum dispersion. The relative-phase stiffness is smaller in the $d+id'$ phase than in the $d$-wave phase, while the overall-phase stiffness has the opposite behavior. Furthermore, phase fluctuations strongly soften the Josephson plasma frequency near a twist angle of $45^\\circ$ and also substantially reduce the Josephson critical current.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2607.00662",
  "author_total": 5,
  "authors": [
    {
      "name": "Yin Shi"
    },
    {
      "name": "Mengxian Zhao"
    },
    {
      "name": "Fei Yang"
    },
    {
      "name": "Miao Liu"
    },
    {
      "name": "Sheng Meng"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/a0t0s3ps7m9y0.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2607.00662",
  "fulltext_url": null,
  "id": "a0t0s3ps7m9y0",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2607.00662",
  "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.supr-con"
    ],
    [
      "openalex",
      "3104|Physics of Superconductivity and Magnetism"
    ]
  ],
  "openalex": "W7167038036",
  "pdf_url": "https://arxiv.org/pdf/2607.00662",
  "pmcid": null,
  "pmid": null,
  "published": "2026-11-03",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/a0t0s3ps7m9y0.ris",
  "sources": [
    {
      "first_seen": "2026-11-04T15:21:24Z",
      "native_id": "2607.00662",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2607.00662"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:cond-mat.supr-con",
      "subfield": "condensed-matter"
    }
  ],
  "title": "Collective phase modes in twisted $d$-wave superconducting bilayers",
  "title_text": "Collective phase modes in twisted d-wave superconducting bilayers",
  "type": "preprint",
  "updated_at": "2026-11-06T18:21:01Z",
  "url": "https://research.draconitic.com/paper/a0t0s3ps7m9y0",
  "venue": "arXiv",
  "versions": []
}