{
  "abstract": "We study the effects of interactions on the low-energy density of states (SdH) and magnetization (dHvA) quantum oscillations (QOs) in a Kondo insulator. Toward this end we introduce a generalization of the periodic Anderson model with Sachdev-Ye-Kitaev (SYK) interactions at each site that is exactly solvable in the large-$N$ limit, where $N$ is the number of flavors of the heavy $f$ electrons. We show analytically and numerically that the insulating state remains stable in terms of spectrum, thermodynamics, and transport at low temperatures even for interaction strengths much larger than non-interacting band gap of the hybridization-gap insulator. We analytically derive generalizations of Lifshitz-Kosevich (LK) formulae, distinct for the SdH and dHvA QOs, for the interacting insulator. We find that the SdH oscillation frequencies, $F_0\\pm δF$, corresponding to the conduction and valence band edges, can be weakly renormalized by interaction relative to their non-interacting values. In contrast, dHvA QO frequency $F_0$ is not renormalized by interactions, and remains the same as that for the non-interacting unhybridized bands. The QO amplitudes show a remarkable difference: the dHvA amplitude is essentially unaffected by interactions, while the SdH amplitude is strongly enhanced due to gap renormalization.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.20734",
  "author_total": 3,
  "authors": [
    {
      "name": "Abhisek Samanta"
    },
    {
      "name": "Mohit Randeria"
    },
    {
      "name": "Sumilan Banerjee"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/fnjef0j7nsa51.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.20734",
  "fulltext_url": null,
  "id": "fnjef0j7nsa51",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.20734",
  "language": null,
  "licence": "LicenseRef-arXiv-nonexclusive-1.0",
  "licence_label": "arXiv licence",
  "licence_source": "article",
  "licence_url": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "cond-mat.dis-nn"
    ],
    [
      "arxiv",
      "cond-mat.str-el"
    ],
    [
      "openalex",
      "3104|Rare-earth and actinide compounds"
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  "openalex": "W7222707979",
  "pdf_url": "https://arxiv.org/pdf/2610.20734",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-14",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/fnjef0j7nsa51.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:29:50Z",
      "native_id": "2610.20734",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.20734"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:cond-mat.dis-nn",
      "subfield": "condensed-matter"
    }
  ],
  "title": "Quantum oscillations in a solvable model of a Kondo insulator",
  "title_text": "Quantum oscillations in a solvable model of a Kondo insulator",
  "type": "preprint",
  "updated_at": "2026-10-30T12:29:50Z",
  "url": "https://research.draconitic.com/paper/fnjef0j7nsa51",
  "venue": "arXiv",
  "versions": []
}