{
  "abstract": "We develop a squared-Hamiltonian description of twisted bilayer graphene beyond the chiral limit to explain why the first magic angle remains robust under lattice relaxation, while higher-order magic angles are strongly destabilized. Starting from the non-chiral Bistritzer--MacDonald model with finite same-sublattice tunneling, we show that lattice relaxation reshapes the effective confinement landscape rather than acting as a simple perturbation of the chiral theory. A central result is that the realistic relaxation-renormalized tunneling ratio lies close to a special confinement point where the oscillatory part of the symmetric confinement potential nearly cancels. This places realistic twisted bilayer graphene near a nearly uniform confinement regime. At the same time, finite same-sublattice tunneling activates an additional inter-sublattice current-like channel that competes with the chiral orbital channel. The first magic angle survives because these confinement and current-like contributions remain balanced, whereas higher-order magic angles lose this balance through stronger remote-band hybridization and enhanced real-space localization around AA regions. Our results provide a single-particle mechanism for the breakdown of the chiral magic-angle hierarchy and clarify why the experimentally relevant first magic angle remains the most stable remnant of the chiral flat-band structure.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.08347",
  "author_total": 4,
  "authors": [
    {
      "name": "Leonardo A. Navarro-Labastida"
    },
    {
      "name": "Pierre A. Pantaleon"
    },
    {
      "name": "Francisco Guinea"
    },
    {
      "name": "Gerardo G. Naumis"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/65qn52btw297k.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.08347",
  "fulltext_url": null,
  "id": "65qn52btw297k",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2609.08347",
  "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.mes-hall"
    ],
    [
      "arxiv",
      "cond-mat.mtrl-sci"
    ],
    [
      "openalex",
      "2505|Graphene research and applications"
    ]
  ],
  "openalex": "W7211994498",
  "pdf_url": "https://arxiv.org/pdf/2609.08347",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-12",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/65qn52btw297k.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:29:06Z",
      "native_id": "2609.08347",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.08347"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:cond-mat.mes-hall",
      "subfield": "condensed-matter"
    }
  ],
  "title": "The First Magic Angle Beyond the Chiral Limit in Twisted Bilayer Graphene",
  "title_text": "The First Magic Angle Beyond the Chiral Limit in Twisted Bilayer Graphene",
  "type": "preprint",
  "updated_at": "2026-10-30T12:29:06Z",
  "url": "https://research.draconitic.com/paper/65qn52btw297k",
  "venue": "arXiv",
  "versions": []
}