{
  "abstract": "The field of twistronics, recently extended to twisted bilayer cuprate systems, has generated considerable interest due to the prediction of $d+id'$ states close to a $45^\\circ$ twist, as suggested by multiple experimental probes. Theoretical studies of these systems using a variety of models and many-body theoretical techniques have revealed multiple competing order parameters. The large variability in experimental results and theoretical predictions demands an accurate microscopic model for these systems, in particular a more realistic description of the interlayer tunneling. In this study, we fit the in-plane hopping and compute the interlayer tunneling amplitudes by calculating the orbital overlap between $d_{x^2-y^2}$ wave functions at each site of the twisted square-lattice model. We observe sign-changing tunneling amplitudes, a strong twist-angle dependence of the direct tunneling term, and long-range tunneling amplitudes that often dominate over direct tunneling. We investigate the band structure, Fermi surfaces, and spectral functions in comparison with those obtained from the phenomenological model and find a substantial redistribution of spectral weight that modifies the competition between different superconducting ground states. We determine the phase diagram as a function of twist angle, filling, and direct tunneling strength, which is controlled by the $c$-axis distance between the monolayers, and observe a reduction in the region of time-reversal-symmetry-breaking (TRSB) $d+id'$ states compared with the phenomenological model. Finally, we investigate the Josephson critical current across the phase diagram and find strongly suppressed critical currents close to a $45^\\circ$ twist, consistent with experimental observations.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.16930",
  "author_total": 4,
  "authors": [
    {
      "name": "Siddhant Panda"
    },
    {
      "name": "Andreas Kreisel"
    },
    {
      "name": "Laura Fanfarillo"
    },
    {
      "name": "P. J. Hirschfeld"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/a2nmfn6s44xfd.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.16930",
  "fulltext_url": null,
  "id": "a2nmfn6s44xfd",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.16930",
  "language": null,
  "licence": "LicenseRef-arXiv-nonexclusive-1.0",
  "licence_label": "arXiv licence",
  "licence_source": "article",
  "licence_url": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
  "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": "W7221782860",
  "pdf_url": "https://arxiv.org/pdf/2610.16930",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-12",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/a2nmfn6s44xfd.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:29:06Z",
      "native_id": "2610.16930",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.16930"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:cond-mat.str-el",
      "subfield": "condensed-matter"
    }
  ],
  "title": "Microscopic Modeling of Interlayer Tunneling in Twisted Bilayer Cuprates",
  "title_text": "Microscopic Modeling of Interlayer Tunneling in Twisted Bilayer Cuprates",
  "type": "preprint",
  "updated_at": "2026-10-30T12:29:06Z",
  "url": "https://research.draconitic.com/paper/a2nmfn6s44xfd",
  "venue": "arXiv",
  "versions": []
}