{
  "abstract": "For the $H^{2|2}$ model on $\\mathbb Z^2$, we show that, at energy zero, the fractional moments of Green functions, $\\mathbb E[ G(x,y)^s]$ decay exponentially in the distance between $x$ and $y$, for every constant edge weight $W>0$ and every $0<s<1/2$. Here $ G$ is the infinite-volume Green function of the associated random Schrödinger operator. The main ingredient is a quantitative lower bound on the derivative of the mean effective conductance with respect to the edge weights.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.10982",
  "author_total": 2,
  "authors": [
    {
      "name": "Jinglin Wang"
    },
    {
      "name": "Xiaolin Zeng"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/2va5t2091f1ae.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.10982",
  "fulltext_url": null,
  "id": "2va5t2091f1ae",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.10982",
  "language": null,
  "licence": "CC-BY-NC-ND-4.0",
  "licence_label": "CC BY-NC-ND 4.0",
  "licence_source": "article",
  "licence_url": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "math-ph"
    ],
    [
      "arxiv",
      "math.MP"
    ],
    [
      "arxiv",
      "math.PR"
    ],
    [
      "openalex",
      "2610|Spectral Theory in Mathematical Physics"
    ]
  ],
  "openalex": "W7221151918",
  "pdf_url": "https://arxiv.org/pdf/2610.10982",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-22",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/2va5t2091f1ae.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:34:34Z",
      "native_id": "2610.10982",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.10982"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math-ph",
      "subfield": "mathematical-physics"
    },
    {
      "field": "mathematics",
      "origin": "arxiv:math.PR",
      "subfield": "probability"
    }
  ],
  "title": "Exponential decay of fractional moments in the $H^{2|2}$ model on $\\mathbb Z^2$",
  "title_text": "Exponential decay of fractional moments in the H^2|2 model on ℤ^2",
  "type": "preprint",
  "updated_at": "2026-10-30T12:34:38Z",
  "url": "https://research.draconitic.com/paper/2va5t2091f1ae",
  "venue": "arXiv",
  "versions": []
}