{
  "abstract": "We develop an analytical approach to the Kondo problem based on an effective partition function that generalizes the sophomore's dream integral. The Kondo crossover is represented as a passage through an approximately equidistant ladder of its Lee-Yang zeros in the complex plane, rather than as a singularity on the real axis. Summation over this ladder yields the Gamma function $Γ(α+ T_K/(2 πT))$ as the universal crossover backbone, where the offset $α=1/2$ is fixed by the Friedel sum rule. The Euler-Maclaurin expansion connects the discrete zero structure to the Nozieres Fermi-liquid theory through Bernoulli numbers. A two-cutoff formula provides a compact, essentially one-parameter description of the full crossover in terms of a temperature-space Fano lineshape which is a thermal average of the energy-space Fano resonance observed in STM. Drift corrections are treated. The approach extends to $\\mathrm{SU}(N)$ Coqblin-Schrieffer, underscreened and Anderson impurity models, and Kondo lattices.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": "Journal reference: Physics Letters A 598 (2026) 132238",
  "arxiv": "2610.13666",
  "author_total": 1,
  "authors": [
    {
      "name": "V. Yu. Irkhin"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/ajgpb9194117n.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.13666",
  "fulltext_url": null,
  "id": "ajgpb9194117n",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.13666",
  "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": null,
  "pdf_url": "https://arxiv.org/pdf/2610.13666",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-09",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/ajgpb9194117n.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:28:36Z",
      "native_id": "2610.13666",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.13666"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:cond-mat.str-el",
      "subfield": "condensed-matter"
    }
  ],
  "title": "A new approach to the Kondo effect: sophomore's dream function and Lee-Yang zeros",
  "title_text": "A new approach to the Kondo effect: sophomore's dream function and Lee-Yang zeros",
  "type": "preprint",
  "updated_at": "2026-10-30T12:28:36Z",
  "url": "https://research.draconitic.com/paper/ajgpb9194117n",
  "venue": "arXiv",
  "versions": [
    {
      "doi": "10.1016/j.physleta.2026.132238",
      "pid": null,
      "relation": "published-as",
      "title": null,
      "venue": null
    }
  ]
}