{
  "abstract": "We establish an exact mechanism of magnetic confinement driven purely by kinetic frustration. In a finite open sawtooth $U=\\infty$ Hubbard chain of $L$ unit cells doped with one hole, the ground state at magnetization $M$ contains $M$ polarized triplet dimers surrounding a connected singlet region of length $\\ell_{\\rm s}=L-M$. A magnetic field selects $M$ and hence the confinement length. The hole forms a standing wave in the singlet region with exponential tails in the triplet background. Confinement requires neither disorder nor an exchange-generated string tension: destructive interference between direct and apex-mediated hopping makes the triplet bonds reflecting. At $t_2/t_1=[2+4\\cos(π/(\\ell_{\\rm s}+2))]^{-1/2}$, they become perfectly reflecting, producing a position-degenerate compact localized state. At every fixed field $0<h<h_{\\rm sat}$, the singlet region remains finite as $L\\to\\infty$ and shrinks stepwise with increasing field, whereas at $h=0$ it spans the system.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.33585",
  "author_total": 4,
  "authors": [
    {
      "name": "Nikolai Peshcherenko"
    },
    {
      "name": "Yixin Zhang"
    },
    {
      "name": "Cristian D. Batista"
    },
    {
      "name": "Yang Zhang"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/f4v8sa2mq79az.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.33585",
  "fulltext_url": null,
  "id": "f4v8sa2mq79az",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.33585",
  "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.str-el"
    ],
    [
      "openalex",
      "3104|Advanced Condensed Matter Physics"
    ]
  ],
  "openalex": "W7223819512",
  "pdf_url": "https://arxiv.org/pdf/2610.33585",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-24",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/f4v8sa2mq79az.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:35:35Z",
      "native_id": "2610.33585",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.33585"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:cond-mat.str-el",
      "subfield": "condensed-matter"
    }
  ],
  "title": "Exact Magnetic Confinement of a Doped Hole by Kinetic Frustration",
  "title_text": "Exact Magnetic Confinement of a Doped Hole by Kinetic Frustration",
  "type": "preprint",
  "updated_at": "2026-10-30T12:35:35Z",
  "url": "https://research.draconitic.com/paper/f4v8sa2mq79az",
  "venue": "arXiv",
  "versions": []
}