{
  "abstract": "We investigate the electronic properties of binary tight-binding chains generated by the cut-and-project method for rational slopes $α=p/q$, leading to periodic and inversion symmetric chains with $n=p+q$ sites. The binary structure is encoded in two hopping amplitudes $t_a$ and $t_b$. For fixed $t_a \\neq t_b$, the support of the energy spectrum as a function of $p/n$ gives rise to a \"Cut-and-Project butterfly\". We concentrate on insulators with $M$ filled bands among a total of $n$ bands and vary $t_a/t_b$. Inversion symmetry constrains the electric polarization $P$ to $0$ or $P_q/2$ modulo a polarization quantum $P_q = \\gcd(M,n)/n$. A topological transition, between two insulators that differ by their quantized polarization, occurs if and only if $n/\\gcd(M,n)$ is odd. When $n/\\gcd(M,n)$ is even, the two insulating regimes have a vanishing polarization and no topological transition occurs, despite the gap closing at $t_a=t_b$. When $n$ is even and $M$ odd, we find an adiabatic path between $t_a>t_b$ and $t_a<t_b$ that maintains inversion symmetry and a gap.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.01312",
  "author_total": 5,
  "authors": [
    {
      "name": "Zhipeng Zeng"
    },
    {
      "name": "Yuge Chen"
    },
    {
      "name": "Jean-Noël Fuchs"
    },
    {
      "name": "Jianxin Zhong"
    },
    {
      "name": "Rémy Mosseri"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/6n77ev3kwkgdq.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.01312",
  "fulltext_url": null,
  "id": "6n77ev3kwkgdq",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2609.01312",
  "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.other"
    ],
    [
      "openalex",
      "3107|Topological Materials and Phenomena"
    ]
  ],
  "openalex": "W7206179079",
  "pdf_url": "https://arxiv.org/pdf/2609.01312",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-01",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/6n77ev3kwkgdq.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:18:00Z",
      "native_id": "2609.01312",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.01312"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:cond-mat.other",
      "subfield": "condensed-matter"
    }
  ],
  "title": "Inversion-symmetric topological insulators in cut-and-project binary chains",
  "title_text": "Inversion-symmetric topological insulators in cut-and-project binary chains",
  "type": "preprint",
  "updated_at": "2026-10-30T12:18:00Z",
  "url": "https://research.draconitic.com/paper/6n77ev3kwkgdq",
  "venue": "arXiv",
  "versions": []
}